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Paper Citation Record · LEDGER

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids

As of 15 August 2026, this Paper Citation Record lists 100 of 173 outbound references and 0 inbound Pith citation observations for arXiv:2607.23525.

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pith.paper-citation-record.v1
2607.23525 v1

Coverage vector

measured 100 of 173 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

100 of 173 outbound references displayed

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Outbound references

Observation 65be1375-5f65-4f88-8e56-34fbb6072428 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , title =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Computer Methods in Applied Mechanics and Engineering , title =

Reference 1

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Observation 91fa0b63-e336-43b5-9caf-c1906b6afca6 · outbound

This paper cites An interface-enriched generalized FEM for problems with discontinuous gradient fields , url =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids An interface-enriched generalized FEM for problems with discontinuous gradient fields , url =

Reference 2

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This paper cites James and Haim Waisman , date-added =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids James and Haim Waisman , date-added =

Reference 3

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This paper cites , booktitle =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids , booktitle =

Reference 4

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Observation 7adf255a-edb1-4209-886b-0f074a070fff · outbound

This paper cites and Jones, R.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids and Jones, R

Reference 5

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Observation a941659c-0ff2-4bff-abc3-2af1b0a18d70 · outbound

This paper cites and Atluri, S.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids and Atluri, S

Reference 6

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Observation a9fc45e4-e0a2-4b50-913a-c36f8320b18a · outbound

This paper cites Structural optimisation with fracture strength constraints , ty =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Structural optimisation with fracture strength constraints , ty =

Reference 7

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This paper cites an unresolved cited work.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work

Reference 8

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Observation 269053a1-ac29-4852-8ae8-433883d411cd · outbound

This paper cites Topology optimization using PETSc: An easy-to-use, fully parallel, open source topology optimization framework , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization using PETSc: An easy-to-use, fully parallel, open source topology optimization framework , volume =

Reference 9

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Observation de375b2f-b14d-4f4b-859b-70d954e6fb3f · outbound

This paper cites Giga-voxel computational morphogenesis for structural design , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Giga-voxel computational morphogenesis for structural design , volume =

Reference 10

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This paper cites Review of corrosion fatigue in offshore structures: Present status and challenges in the offshore wind sector , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Review of corrosion fatigue in offshore structures: Present status and challenges in the offshore wind sector , volume =

Reference 11

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This paper cites Topology optimization of pressure dependent elastoplastic energy absorbing structures with material damage constraints , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization of pressure dependent elastoplastic energy absorbing structures with material damage constraints , volume =

Reference 12

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This paper cites Energy Release Rate Approximation for Small Surface Cracks in Three-Dimensional Domains Using the Topological Derivative , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Energy Release Rate Approximation for Small Surface Cracks in Three-Dimensional Domains Using the Topological Derivative , volume =

Reference 13

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Observation bf20d462-cf98-47d6-a80e-85e25203f63b · outbound

This paper cites Fracture-based shape optimization built upon the topological derivative , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fracture-based shape optimization built upon the topological derivative , volume =

Reference 14

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This paper cites A level-set method for shape optimization , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A level-set method for shape optimization , volume =

Reference 15

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work

Reference 16

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A structural optimization method based on the level set method using a new geometry-based re-initialization scheme , volume =

Reference 17

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work

Reference 18

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Structural optimization using sensitivity analysis and a level-set method , volume =

Reference 19

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Level-set methods for structural topology optimization: a review , volume =

Reference 20

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This paper cites OptiStruct User's Manual 2021 , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids OptiStruct User's Manual 2021 , year =

Reference 21

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topological optimization of structures subject to von Mises stress constraints , volume =

Reference 22

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topological derivative-based topology optimization of structures subject to Drucker--Prager stress constraints , volume =

Reference 23

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This paper cites Reinforcement layout design for concrete structures based on continuum damage and truss topology optimization , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Reinforcement layout design for concrete structures based on continuum damage and truss topology optimization , volume =

Reference 24

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A topology optimization procedure for reinforced concrete structures , volume =

Reference 25

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids The topological asymptotic for PDE systems: the elasticity case , volume =

Reference 26

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This paper cites ANSYS Mechanical APDL Fracture Analysis Guide 2021 R2 , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids ANSYS Mechanical APDL Fracture Analysis Guide 2021 R2 , year =

Reference 27

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fracture mechanics: fundamentals and applications , year =

Reference 28

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids On the stability and interpolating properties of the hierarchical interface-enriched finite element method , volume =

Reference 29

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fundamentals of enriched finite element methods , year =

Reference 30

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Closing the gap towards super-long suspension bridges using computational morphogenesis , volume =

Reference 31

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids PETSc users manual , year =

Reference 32

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Observation 9212b540-e176-456b-9aeb-498385137667 · outbound

This paper cites Multi-material topology optimization design for continuum structures with crack patterns , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Multi-material topology optimization design for continuum structures with crack patterns , volume =

Reference 33

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Observation ede9b946-0888-44ba-8d78-e61d50fb09f0 · outbound

This paper cites Stress intensity factors for an inclined edge crack in a semiplane , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Stress intensity factors for an inclined edge crack in a semiplane , volume =

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Observation 62ed9af3-125b-450a-9301-7bbaf5992811 · outbound

This paper cites Corrosion challenges towards a sustainable society , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Corrosion challenges towards a sustainable society , year =

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Observation bf070a83-ca50-45f6-b524-3d43ae1bf7d2 · outbound

This paper cites Generating optimal topologies in structural design using a homogenization method , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Generating optimal topologies in structural design using a homogenization method , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.372884Z digest=sha256:e67b581768a89fad6bc38c3349c07e1748d6b2e5ac8f8338d86e019a169162fe

Observation b6fe4180-12a9-485f-a686-c810c427dc6b · outbound

This paper cites A method for treating damage related criteria in optimal topology design of continuum structures , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A method for treating damage related criteria in optimal topology design of continuum structures , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.375625Z digest=sha256:68dc37c4fa5a74b3b3f0e5fa21ec4811a3b135b5993f54beea133440d17d6137

Observation c0780a4b-a653-441f-a322-42ade2eaca87 · outbound

This paper cites Optimal shape design as a material distribution problem , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Optimal shape design as a material distribution problem , volume =

Reference 38

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Observation b410c257-9175-4bce-85e7-b842f286d785 · outbound

This paper cites Topology optimization: theory, methods, and applications , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization: theory, methods, and applications , year =

Reference 39

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source=arxiv_source observed=2026-07-30T20:10:21.381252Z digest=sha256:53894d19b78aef703e0bc4838c0514ab8c73e04a1494cf523a966534d62312f9

Observation 7fe0eb5b-9de5-4be6-a383-7395166de4a6 · outbound

This paper cites Derivative recovery and a posteriori error estimate for extended finite elements , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Derivative recovery and a posteriori error estimate for extended finite elements , volume =

Reference 40

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source=arxiv_source observed=2026-07-30T20:10:21.384003Z digest=sha256:b9695b624fc30455fbc6aa7e0583a72b1e7fb3657025cc596d3d63735cc1284a

Observation eb18953b-9ee9-46d5-9ec0-d18be991a06a · outbound

This paper cites Design-dependent loads in topology optimization , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Design-dependent loads in topology optimization , volume =

Reference 41

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source=arxiv_source observed=2026-07-30T20:10:21.387224Z digest=sha256:86ec0b81f7e95b9b0a0268f72237f999474e600e9321ab03cc82d9034bb2aea8

Observation 671ab00a-970d-44e6-adbb-08f96fe41538 · outbound

This paper cites Elementary engineering fracture mechanics , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Elementary engineering fracture mechanics , year =

Reference 42

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source=arxiv_source observed=2026-07-30T20:10:21.390035Z digest=sha256:aa83908d9add6c41832425f7445dc4515e8b27dc58625f13e1b335028e0b027f

Observation 3f6088fb-52bc-4553-8e88-8c433745e8a0 · outbound

This paper cites Topology optimization for minimum weight with compliance and stress constraints , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization for minimum weight with compliance and stress constraints , volume =

Reference 43

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source=arxiv_source observed=2026-07-30T20:10:21.393000Z digest=sha256:baec66d0b62a1a8e883f410dbabb20b2ce58997e6e8865986e0b5d57ee982c52

Observation 7aaf33b5-7b6b-452d-9710-7075d49b5be9 · outbound

This paper cites A stress--based approach to the optimal design of structures with unilateral behavior of material or supports , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A stress--based approach to the optimal design of structures with unilateral behavior of material or supports , volume =

Reference 44

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source=arxiv_source observed=2026-07-30T20:10:21.396172Z digest=sha256:3406ed68dbe272acef3f12400607c27d83eb6269c38e3f1574c44c8a6fcde7b8

Observation 0d4c2d6a-1c28-4e58-a337-45e244429486 · outbound

This paper cites Fracture resistance via topology optimization , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fracture resistance via topology optimization , volume =

Reference 45

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source=arxiv_source observed=2026-07-30T20:10:21.399964Z digest=sha256:9422f91ca1c0b05a6b5c3f6d1a3b372ff339e8e9a5f679fce2423da121922a6a

Observation ba55ceee-4d3b-4509-acd6-522c1624de9d · outbound

This paper cites Variational Methods in Elasticity and Plasticity.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Variational Methods in Elasticity and Plasticity

Reference 46

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source=arxiv_source observed=2026-07-30T20:10:21.403004Z digest=sha256:e47732dba8c0348b873962443a309375f49ed9e3b53f87f3347614dccbbda1db

Observation 1bdb1752-26af-43d3-b0a2-8c6808263776 · outbound

This paper cites Fatigue-resistance topology optimization of continuum structure by penalizing the cumulative fatigue damage , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fatigue-resistance topology optimization of continuum structure by penalizing the cumulative fatigue damage , volume =

Reference 47

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source=arxiv_source observed=2026-07-30T20:10:21.406500Z digest=sha256:b173b7d365941d523c210e9e00fd80c1904a8db697818cd1ee70793805e0f4e5

Observation f5a15d4b-9117-4931-b9d3-3b9aef645d9c · outbound

This paper cites Controlling the maximum first principal stress in topology optimization , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Controlling the maximum first principal stress in topology optimization , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.409683Z digest=sha256:94e32c5691f504cfcff89ab46b273cc65e3502c8f5794e32382c52741bd87815

Observation db470f25-ce0d-4430-a1a6-13d9b4814520 · outbound

This paper cites FEM-DBEM approach to analyse crack scenarios in a baffle cooling pipe undergoing heat flux from the plasma , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids FEM-DBEM approach to analyse crack scenarios in a baffle cooling pipe undergoing heat flux from the plasma , volume =

Reference 49

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source=arxiv_source observed=2026-07-30T20:10:21.412920Z digest=sha256:4ec3ff6f35aa4ac97214e18357da012b119ef2783a54dc4a2e9f1f57e3954003

Observation 2bf6f531-4e8d-47e6-b8d4-bc114e70fef8 · outbound

This paper cites Topology optimization of particle-matrix composites for optimal fracture resistance taking into account interfacial damage , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization of particle-matrix composites for optimal fracture resistance taking into account interfacial damage , volume =

Reference 50

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source=arxiv_source observed=2026-07-30T20:10:21.416072Z digest=sha256:27d94228b54f3726373430f9fb6ebc27e42f78763d8c9afb99144b0ae3018437

Observation 9331f46f-8db5-49ce-8200-c3c70a82cc13 · outbound

This paper cites Topology optimization for maximizing the fracture resistance of periodic quasi-brittle composites structures , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization for maximizing the fracture resistance of periodic quasi-brittle composites structures , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.419068Z digest=sha256:ec4f10f55dc4614d765057157179d54fefc979d539adfb47fbab0db37e5f8d41

Observation 37faf559-c4ec-4a71-ab6e-fd6dc29c2651 · outbound

This paper cites Local versus global stress constraint strategies in topology optimization: A comparative study , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Local versus global stress constraint strategies in topology optimization: A comparative study , year =

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source=arxiv_source observed=2026-07-30T20:10:21.422034Z digest=sha256:10d887cfa3799ab2fe7dbc737cb95f5325ca40bb389e81f8b8a0a2ce756d17f5

Observation c01def31-5936-4a6f-9894-623d696d3e93 · outbound

This paper cites Structural topology optimization with predetermined breaking points , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Structural topology optimization with predetermined breaking points , volume =

Reference 53

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source=arxiv_source observed=2026-07-30T20:10:21.424949Z digest=sha256:2867f289a1995ebe8ddf06c82088ed5ed04b12a063fe71b58745dbdb42bd0b4a

Observation c640150b-9e84-4331-a27d-2cf658b8f649 · outbound

This paper cites Fatigue resistance of welded joints in aluminium high-speed craft: a total stress concept , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fatigue resistance of welded joints in aluminium high-speed craft: a total stress concept , year =

Reference 54

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source=arxiv_source observed=2026-07-30T20:10:21.428347Z digest=sha256:c5fe8bc18fc37692fcb11152fc9a8d06e665e9cac1cecf3df96740ef97f978fb

Observation 5aa8ce2b-79e4-4b06-8daf-e3e4ef39607f · outbound

This paper cites Fatigue resistance of welded joints in aluminium high-speed craft: a total stress concept , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fatigue resistance of welded joints in aluminium high-speed craft: a total stress concept , year =

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source=arxiv_source observed=2026-07-30T20:10:21.431237Z digest=sha256:dad7ab5083c878a75b0dde93f57b699a2be06d53775db84106f25e92fdedb1f2

Observation c03a2887-c5f6-40b5-865c-f05f8c8aaad0 · outbound

This paper cites An efficient 146-line 3D sensitivity analysis code of stress-based topology optimization written in MATLAB , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids An efficient 146-line 3D sensitivity analysis code of stress-based topology optimization written in MATLAB , year =

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source=arxiv_source observed=2026-07-30T20:10:21.434451Z digest=sha256:010c97b32225c0520687bb888568a522b1136ccca53ab3fca822ef96d4e63c43

Observation 2fb7c2ad-8d15-477b-976c-9dfb374975a3 · outbound

This paper cites Topology optimization of structures undergoing brittle fracture , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization of structures undergoing brittle fracture , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.438102Z digest=sha256:cd2e224460705c296e8d0621f95899c6bcee3587e4850b3fcea77f4117c9d2df

Observation 8692bf36-c6a5-429d-bf01-f3ceffd56e88 · outbound

This paper cites Structural optimization using topological and shape sensitivity via a level set method , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Structural optimization using topological and shape sensitivity via a level set method , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.445151Z digest=sha256:c5882af0dffee9a189a45e8194a04dd75c941ee53554ca68ab8aa5547b54cc3e

Observation faf288c6-8a79-4162-8e2d-b1748362e7fc · outbound

This paper cites PZ: An object oriented environment for scientific programming , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids PZ: An object oriented environment for scientific programming , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.448486Z digest=sha256:8b9174b26b6626423a5820bff255145c600ed52e48fd595856c44363e4cc780e

Observation aa813dc4-3d29-42d1-aeb2-e3268f797872 · outbound

This paper cites Applications of the Green function for a half circular crack , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Applications of the Green function for a half circular crack , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.451678Z digest=sha256:3734589bec31feb088316f933ca25de6cedecf2d4e711d3e12b3f7f792cd30c1

Observation 27aa436c-6e14-4f2c-b252-32d657230215 · outbound

This paper cites Optimal material layout for 3D elastic structures , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Optimal material layout for 3D elastic structures , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.454749Z digest=sha256:c6b13ecfe08bc8b7b3e1a22e3d14fd60e205548ec5d4386ea7d278bb762ae504

Observation a6951ca4-85ee-4e84-b4ff-21ecdf9abc50 · outbound

This paper cites New developments in handling stress constraints in optimal material distribution , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids New developments in handling stress constraints in optimal material distribution , year =

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source=arxiv_source observed=2026-07-30T20:10:21.458023Z digest=sha256:fd2aa7ac90ca4fe015cb6b580a3144af65eb241a44697fb287b3d10a851eba01

Observation 45080184-f051-40da-845b-f80a9d926af1 · outbound

This paper cites Topology optimization of continuum structures with local stress constraints , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization of continuum structures with local stress constraints , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.461060Z digest=sha256:60ec3236ecb5400f44164097f38fd38dbce4ca7af33ed1067969bd14f6c90b73

Observation 7883b1e9-5f78-4bc6-b47c-d26924b71f4e · outbound

This paper cites Topology and generalized shape optimization: Why stress constraints are so important? , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology and generalized shape optimization: Why stress constraints are so important? , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.463917Z digest=sha256:417c08afe20ba19b15c5ffb5ab693d370a786cf6eb66dc070536ef66bb63c6c5

Observation c6d23c09-3ebf-45be-adfa-783b3b613e69 · outbound

This paper cites Learning from failure: development and discussion of a database of structural failures , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Learning from failure: development and discussion of a database of structural failures , year =

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source=arxiv_source observed=2026-07-30T20:10:21.561771Z digest=sha256:f7351fb11d27b9a3b28195b8327f89c5237c6f7e483b522f0f74fb94de564b75

Observation 6b2ad4d2-79a0-4411-aea5-471b030b31d2 · outbound

This paper cites an unresolved cited work.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work

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source=arxiv_source observed=2026-07-30T20:10:21.713550Z digest=sha256:c4078d8a62bca058a3677477a161b7d549cd7401122d7ca81b061a5d33dd41e8

Observation efe20368-431c-4f04-8875-ca597ab062d6 · outbound

This paper cites Evolutionary topology optimization of continuum structures with stress constraints , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Evolutionary topology optimization of continuum structures with stress constraints , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.815147Z digest=sha256:90bdb39b829c250ab5af3c60b84eb490d7576d75362a18276bf894e86bb5cf04

Observation 656a78b5-cb62-48f4-ad27-be0f40602280 · outbound

This paper cites Bolted joint behavior of hybrid composites , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Bolted joint behavior of hybrid composites , year =

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source=arxiv_source observed=2026-07-30T20:10:21.818582Z digest=sha256:c3589ed685f8fe187e324f40c0fc80ec4d2d74c64d5fa3c19d855324254a9247

Observation 187ede5a-c015-4ff2-9d48-21e1e2230eea · outbound

This paper cites Revisiting brittle fracture as an energy minimization problem , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Revisiting brittle fracture as an energy minimization problem , volume =

Reference 69

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source=arxiv_source observed=2026-07-30T20:10:21.821582Z digest=sha256:99d57152840097fa0b6e73417a5ad98f83813bc53f6994429d4a2fe8b0148cc6

Observation 2d101b2e-bce1-4c14-9766-916f72992030 · outbound

This paper cites Three-dimensional stress-based topology optimization using SIMP method , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Three-dimensional stress-based topology optimization using SIMP method , volume =

Reference 70

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source=arxiv_source observed=2026-07-30T20:10:21.824556Z digest=sha256:742c179cb07be0200e0041dfeb0c13583a44b536f3123746e1f4082b4297e51d

Observation 95b40f09-09f3-45bc-869a-e2a93a33645c · outbound

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work

Reference 71

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source=arxiv_source observed=2026-07-30T20:10:21.827948Z digest=sha256:451fcad81a6520cbc43acf73bab6834f59c90f5f1517699aff443fc1f0fac959

Observation 499188ac-5b55-41da-b0ba-f04f65cafdc8 · outbound

This paper cites Local stress constraints in topology optimization of structures subjected to arbitrary dynamic loads: a stress aggregation-free approach , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Local stress constraints in topology optimization of structures subjected to arbitrary dynamic loads: a stress aggregation-free approach , year =

Reference 72

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source=arxiv_source observed=2026-07-30T20:10:21.831018Z digest=sha256:10548c413255e7cf24787752c098d2c54dee03bec215a425ccb83355222223dc

Observation bc62fb59-fc60-40fb-aad7-67b825ee20f5 · outbound

This paper cites an unresolved cited work.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work

Reference 73

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source=arxiv_source observed=2026-07-30T20:10:21.834752Z digest=sha256:661628607f898b5a13a1e923a1a06b32536eaf5c97cf7feb7475a7fa951b4b94

Observation c36ece75-83ad-4050-87fe-fbb6ad84df56 · outbound

This paper cites Optimization of composite fracture properties: method, validation, and applications , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Optimization of composite fracture properties: method, validation, and applications , volume =

Reference 74

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source=arxiv_source observed=2026-07-30T20:10:21.837849Z digest=sha256:9546f5f48b1bd931318c2012432a6fb33f6ebe380695b628d127d051033877a9

Observation f8d1fe05-6a8d-4e27-a4dd-2e8d9f40a713 · outbound

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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work

Reference 75

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source=arxiv_source observed=2026-07-30T20:10:21.840921Z digest=sha256:b15e11bcadd1450e8a85f8fa82078368b7a84c88c5fd464015c520c52abedb6d

Observation 62da4af2-f09f-4eec-b51a-a5786f2f7f47 · outbound

This paper cites Doing topology optimization explicitly and geometrically---a new moving morphable components based framework , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Doing topology optimization explicitly and geometrically---a new moving morphable components based framework , volume =

Reference 76

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source=arxiv_source observed=2026-07-30T20:10:21.844055Z digest=sha256:1250a9ac9fb8e8b1c8731ab0812763ceac82a2abea05a28ed9ec70b8b2d7a945

Observation a4e65364-f9fa-463f-aeae-b92ac88126d0 · outbound

This paper cites Multi-material topology optimization of structures with discontinuities using Peridynamics , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Multi-material topology optimization of structures with discontinuities using Peridynamics , volume =

Reference 77

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source=arxiv_source observed=2026-07-30T20:10:21.847180Z digest=sha256:fcfbcb4a78bcff061fb721806523ed582a88d253e4d2a8bd8f7ce3041ee249f2

Observation dcc4532a-59c6-45bb-b2d7-ad80e01be2b4 · outbound

This paper cites Stress intensity factor analysis of elliptical corner cracks in mechanical joints by weight function method , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Stress intensity factor analysis of elliptical corner cracks in mechanical joints by weight function method , volume =

Reference 78

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source=arxiv_source observed=2026-07-30T20:10:21.850548Z digest=sha256:53240095e4785f6a44fad11c99f799cbc69b49acf30c903a3e7ea2c7de4d2c63

Observation 5d602b2b-7ff0-4f05-b86a-88f0ecd940a3 · outbound

This paper cites Stress constrained topology optimization , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Stress constrained topology optimization , volume =

Reference 79

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source=arxiv_source observed=2026-07-30T20:10:21.853667Z digest=sha256:ee72172cf8e67cf067a7d1b9807440cc2598c8df59d78529ddd672b44cd0db80

Observation 3125d40d-ab72-4652-9a2f-b80140f60fcd · outbound

This paper cites Fracture strength topology optimization of structural specific position using a bi-directional evolutionary structural optimization method , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fracture strength topology optimization of structural specific position using a bi-directional evolutionary structural optimization method , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.856855Z digest=sha256:229372091bd0b1a4a353d39b404a1f843bac28bd003a201f67e5faff22db6de6

Observation 2754998e-862a-47c8-9c36-1809d5db1055 · outbound

This paper cites Fracture of brittle and quasi-brittle materials in compression: A review of the current state of knowledge and a different approach , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fracture of brittle and quasi-brittle materials in compression: A review of the current state of knowledge and a different approach , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.860004Z digest=sha256:b242dd08ab4c7779c2928de3cc951923ffbc85e82cd384596cfd91144f1497f9

Observation 37baf2dd-5b3c-44f3-a9b0-7ab070a772ba · outbound

This paper cites Topology optimization of structures under variable loading using a damage superposition approach , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization of structures under variable loading using a damage superposition approach , volume =

Reference 82

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source=arxiv_source observed=2026-07-30T20:10:21.862889Z digest=sha256:d8415bfad4ed195c4365697d7dea3f2b24818f5cc82259d2aca242df069bf43e

Observation 5b04d24e-a975-4382-9aa1-bfc1936847c6 · outbound

This paper cites Topology optimization considering static failure theories for ductile and brittle materials , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization considering static failure theories for ductile and brittle materials , volume =

Reference 83

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source=arxiv_source observed=2026-07-30T20:10:21.865824Z digest=sha256:68dc3ac5e8e8bb75c5d7f2aca939d6721f7e89d7c9d2ef9b230eaf32bd59d8ab

Observation e5a64723-842c-41ab-8ad2-e300fe7d5fc9 · outbound

This paper cites Toward a stress-based topology optimization procedure with indirect calculation of internal finite element information , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Toward a stress-based topology optimization procedure with indirect calculation of internal finite element information , volume =

Reference 84

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source=arxiv_source observed=2026-07-30T20:10:21.868845Z digest=sha256:f577356e70946286a77898299bc8159221b33be8614069e8db1cf7e577c7dba3

Observation d2d1d36d-d7d2-4d8e-ac99-7ad54d9fba18 · outbound

This paper cites Approximate stress intensity factors for a semi-circular crack in an arbitrary structure under arbitrary mode I loading , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Approximate stress intensity factors for a semi-circular crack in an arbitrary structure under arbitrary mode I loading , volume =

Reference 85

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source=arxiv_source observed=2026-07-30T20:10:21.871780Z digest=sha256:be049212a5670967d2171757ecb31bd56f3c7e13392dc2a97b1c002307aad85a

Observation 6e1fe2bc-3725-47c0-be1d-0a18e5e24e08 · outbound

This paper cites Topology optimization considering fracture mechanics behaviors at specified locations , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization considering fracture mechanics behaviors at specified locations , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.874677Z digest=sha256:300afb9486aa5d00d4cfaceb28bac574d26cfff62a4196d04b99dd33d55c3926

Observation 31014281-b965-4490-80ff-1ecd7968c4f4 · outbound

This paper cites Journal of the Mechanics and Physics of Solids , pages=.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Journal of the Mechanics and Physics of Solids , pages=

Reference 87

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source=arxiv_source observed=2026-07-30T20:10:21.877505Z digest=sha256:52d78a418f26370e8d8ad61c49bb684947e759850a7c3642963979d1eb9f98db

Observation 0fb406dd-7a15-459c-8623-fc863d02f295 · outbound

This paper cites Topology optimization of cracked structures using peridynamics , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization of cracked structures using peridynamics , volume =

Reference 88

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no resolver link, observed 2026-07-30T20:10:21.880887Z

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source=arxiv_source observed=2026-07-30T20:10:21.880887Z digest=sha256:f21dcc971b261a4a4396a00f6afa8a41ee02a39c549061c9e6680d900bcde72c

Observation b2b56585-fb3e-492d-8649-da1266f4fe1f · outbound

This paper cites Minimizing crack energy release rate by topology optimization , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Minimizing crack energy release rate by topology optimization , volume =

Reference 89

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source=arxiv_source observed=2026-07-30T20:10:21.883927Z digest=sha256:c552b9a224345de3447fbb4c451247f90a49e26ff5adaa1b12960f32b7466bf7

Observation e92194d1-e6d0-43bb-a50a-fff2239c32f9 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Computer Methods in Applied Mechanics and Engineering , volume=

Reference 90

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source=arxiv_source observed=2026-07-30T20:10:21.887326Z digest=sha256:6f5323102a2e7eb96d0f30b930bb7765b0d8488962fa91dfdfc16acbc29396cf

Observation 07a9ee67-42f7-47ac-b7eb-fe37abedda03 · outbound

This paper cites Systematic control design by optimizing a vector performance index , year =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Systematic control design by optimizing a vector performance index , year =

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source=arxiv_source observed=2026-07-30T20:10:21.890221Z digest=sha256:8653ca7a0f86e90eb4f2ee949ae6daca60b24d3a24a006d00b809aa733b0c82a

Observation 3f99e8bb-5acb-4eb8-99f6-1130c5ef7fb5 · outbound

This paper cites Thermally induced stress intensity factor of a semi-circular surface crack in a half-space , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Thermally induced stress intensity factor of a semi-circular surface crack in a half-space , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.893191Z digest=sha256:7207989ab419f1ae048bf184fdffc522d8f931d31dc57de7efe9ff2970e64be5

Observation f2178437-0343-45a3-bdb9-a1f91243cb26 · outbound

This paper cites Comparative Study of Peridynamics and Finite Element Method for Practical Modeling of Cracks in Topology Optimization , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Comparative Study of Peridynamics and Finite Element Method for Practical Modeling of Cracks in Topology Optimization , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.896223Z digest=sha256:c9e5cb8ebc04a8c71ddd6ba6ec48410eab5827890e9c9c2c6de4c3f3d869ebe1

Observation c4ba0252-2306-45bd-8414-0630f248ed54 · outbound

This paper cites A two-dimensional ordinary, state-based peridynamic model for linearly elastic solids , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A two-dimensional ordinary, state-based peridynamic model for linearly elastic solids , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.899008Z digest=sha256:04cdbd09a7a31781edf61f04d94482b43626406a0d39c28e1069a61c540d244b

Observation 7dad3417-a30e-4ac1-8a4f-425b36fcefff · outbound

This paper cites Part-circular surface cracks in round bars under tension, bending and twisting , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Part-circular surface cracks in round bars under tension, bending and twisting , volume =

Reference 95

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source=arxiv_source observed=2026-07-30T20:10:21.901868Z digest=sha256:7b76205d465097c217ed3898631c371eb42832e20330ad8bd2253e2c353accf7

Observation 9723bd41-c4ee-4f72-8251-7d736fc5ca1a · outbound

This paper cites Topology optimization of energy absorbing structures with maximum damage constraint , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization of energy absorbing structures with maximum damage constraint , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.904989Z digest=sha256:91213706152e379e1758141413779b89c0ecae3e114af606f235b4ee6291b6a3

Observation 4dc5247d-8ce5-4423-a609-c963312aa0a3 · outbound

This paper cites Failure resistant topology optimization of structures using nonlocal elastoplastic-damage model , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Failure resistant topology optimization of structures using nonlocal elastoplastic-damage model , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.908888Z digest=sha256:37748c8aafbd97e3fd47b9c596ce2ba72594586e6e44b85aaeeaf2e4d961ceb0

Observation 5a6c9567-b8ca-494b-8beb-55a3e88819e8 · outbound

This paper cites A SIMP-Phase field topology optimization framework to maximize quasi-brittle fracture resistance of 2D and 3D composites , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A SIMP-Phase field topology optimization framework to maximize quasi-brittle fracture resistance of 2D and 3D composites , volume =

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no resolver link, observed 2026-07-30T20:10:21.912161Z

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source=arxiv_source observed=2026-07-30T20:10:21.912161Z digest=sha256:f39f24b78ba4264b52ce96b4ca67815cfc98a7ff8b208c6b4ebdd7a2b703e3bf

Observation 11d30a6a-cf89-4e76-9078-4d2774485b18 · outbound

This paper cites Efficient and accurate stress recovery procedure and a posteriori error estimator for the stable generalized/extended finite element method , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Efficient and accurate stress recovery procedure and a posteriori error estimator for the stable generalized/extended finite element method , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.915577Z digest=sha256:ccd44b424c1b7601018701d9645954617cde4f8996453fd2c18dad537a5086c2

Observation 21e2d384-d2c4-4363-be0b-c528483adf4f · outbound

This paper cites Eighty years of the finite element method: Birth, evolution, and future , volume =.

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Eighty years of the finite element method: Birth, evolution, and future , volume =

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source=arxiv_source observed=2026-07-30T20:10:21.918734Z digest=sha256:62a752429f104732f12b2c89a72afaeb88eb4b59dcd02b5922fb76f559d2c242

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