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Source: paper_references, paper_reference_links, observed 2026-07-30T20:10:21.918734Z
Paper Citation Record · LEDGER
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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Source: paper_references, paper_reference_links, observed 2026-07-30T20:10:21.918734Z
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Pith citing papers itemized under the disclosed page cap.
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100 of 173 outbound references displayed
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Observation 65be1375-5f65-4f88-8e56-34fbb6072428 · outbound
$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Computer Methods in Applied Mechanics and Engineering , title =
Reference 1
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids An interface-enriched generalized FEM for problems with discontinuous gradient fields , url =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids James and Haim Waisman , date-added =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Structural optimisation with fracture strength constraints , ty =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work
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Observation 269053a1-ac29-4852-8ae8-433883d411cd · outbound
$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization using PETSc: An easy-to-use, fully parallel, open source topology optimization framework , volume =
Reference 9
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$\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 =
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Observation 3d7d8d95-40bc-4c18-8f3e-8a12150114e7 · outbound
$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Review of corrosion fatigue in offshore structures: Present status and challenges in the offshore wind sector , volume =
Reference 11
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$\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 =
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Observation e985bb5e-5d79-4a34-814f-aa7a6dde65ac · outbound
$\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 =
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Observation bf20d462-cf98-47d6-a80e-85e25203f63b · outbound
$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fracture-based shape optimization built upon the topological derivative , volume =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A level-set method for shape optimization , volume =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A structural optimization method based on the level set method using a new geometry-based re-initialization scheme , volume =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Structural optimization using sensitivity analysis and a level-set method , volume =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topological derivative-based topology optimization of structures subject to Drucker--Prager stress constraints , volume =
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$\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 =
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Observation a86fc6bb-26f9-4fbb-9a7e-16f23e459793 · outbound
$\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 =
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Observation 9ea789d2-ff33-442c-a0fa-fab8e3289cad · outbound
$\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 =
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Observation 240e3f64-6385-4483-ba29-0591dc539271 · outbound
$\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 =
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Observation 301dbca9-f37b-46f0-9c2a-1ac40250bdc2 · outbound
$\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 =
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Observation 21e7969e-14a3-463b-8f06-a642484b2ef1 · outbound
$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids On the stability and interpolating properties of the hierarchical interface-enriched finite element method , volume =
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$\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} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Closing the gap towards super-long suspension bridges using computational morphogenesis , volume =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Multi-material topology optimization design for continuum structures with crack patterns , volume =
Reference 33
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$\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
$\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 =
Reference 35
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Observation bf070a83-ca50-45f6-b524-3d43ae1bf7d2 · outbound
$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Generating optimal topologies in structural design using a homogenization method , volume =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A method for treating damage related criteria in optimal topology design of continuum structures , volume =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Derivative recovery and a posteriori error estimate for extended finite elements , volume =
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Reference 41
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Elementary engineering fracture mechanics , year =
Reference 42
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Topology optimization for minimum weight with compliance and stress constraints , volume =
Reference 43
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A stress--based approach to the optimal design of structures with unilateral behavior of material or supports , volume =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fracture resistance via topology optimization , volume =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Variational Methods in Elasticity and Plasticity
Reference 46
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fatigue-resistance topology optimization of continuum structure by penalizing the cumulative fatigue damage , volume =
Reference 47
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Controlling the maximum first principal stress in topology optimization , volume =
Reference 48
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids FEM-DBEM approach to analyse crack scenarios in a baffle cooling pipe undergoing heat flux from the plasma , volume =
Reference 49
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Reference 50
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Reference 51
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Reference 52
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Reference 53
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fatigue resistance of welded joints in aluminium high-speed craft: a total stress concept , year =
Reference 54
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fatigue resistance of welded joints in aluminium high-speed craft: a total stress concept , year =
Reference 55
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids An efficient 146-line 3D sensitivity analysis code of stress-based topology optimization written in MATLAB , year =
Reference 56
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Reference 57
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Structural optimization using topological and shape sensitivity via a level set method , volume =
Reference 58
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Reference 59
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Applications of the Green function for a half circular crack , volume =
Reference 60
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Reference 61
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids New developments in handling stress constraints in optimal material distribution , year =
Reference 62
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Reference 63
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Reference 64
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Learning from failure: development and discussion of a database of structural failures , year =
Reference 65
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work
Reference 66
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Reference 67
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Bolted joint behavior of hybrid composites , year =
Reference 68
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Revisiting brittle fracture as an energy minimization problem , volume =
Reference 69
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Three-dimensional stress-based topology optimization using SIMP method , volume =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Unresolved cited work
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Stress intensity factor analysis of elliptical corner cracks in mechanical joints by weight function method , volume =
Reference 78
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Reference 79
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Reference 80
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Fracture of brittle and quasi-brittle materials in compression: A review of the current state of knowledge and a different approach , volume =
Reference 81
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Reference 86
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Minimizing crack energy release rate by topology optimization , volume =
Reference 89
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Systematic control design by optimizing a vector performance index , year =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids Thermally induced stress intensity factor of a semi-circular surface crack in a half-space , volume =
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Reference 93
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids A two-dimensional ordinary, state-based peridynamic model for linearly elastic solids , volume =
Reference 94
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$\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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Reference 98
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Reference 99
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