Paper Citation Record · LEDGER

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture

As of 16 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:1908.06268.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.06268 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:58:59.977366Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy33
unresolved1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a5fadeaa-1186-498a-9103-5e8c5da6e8ed · outbound

This paper cites Cracking elements: a self-propa gating strong discontinuity embedded approach for quasi-brittle fractu re,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Cracking elements: a self-propa gating strong discontinuity embedded approach for quasi-brittle fractu re,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.743864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3450cb24-418c-4fe0-98e2-5b2afc2e3190 · outbound

This paper cites Cracking elements method for dyn amic brittle fracture,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Cracking elements method for dyn amic brittle fracture,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.723717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3fb4b739-e990-4649-a82f-2260f4852883 · outbound

This paper cites Some recent issues in computational failur e mechanics,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Some recent issues in computational failur e mechanics,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.706709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 98086998-b956-4eff-89b3-5e9efbb92ca3 · outbound

This paper cites On the equivalence between trac tion- and stress-based approaches for the modeling of localized failure in solids,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture On the equivalence between trac tion- and stress-based approaches for the modeling of localized failure in solids,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.689442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ebc2f1cb-e5e1-4aa9-812d-00e4c635d83f · outbound

This paper cites A thermodynamically consisten t plastic-damage framework for localized failure in quasi-brittle solids: M aterial model and strain localization analysis,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture A thermodynamically consisten t plastic-damage framework for localized failure in quasi-brittle solids: M aterial model and strain localization analysis,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.670813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cb9ff0f9-8424-41bf-8376-aa6675337223 · outbound

This paper cites A uniﬁed phase-ﬁeld theory for the mechanics o f damage and quasi- brittle failure,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture A uniﬁed phase-ﬁeld theory for the mechanics o f damage and quasi- brittle failure,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.653899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 990c897e-3d07-4109-9f21-be2bd751c1d9 · outbound

This paper cites Element-w ise fracture algorithm based on rotation of edges,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Element-w ise fracture algorithm based on rotation of edges,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.636855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c97fa6d4-5951-46aa-8651-45bccef2ba77 · outbound

This paper cites Steiner-point free edge cutting of tetrahedral meshes with applications in fracture,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Steiner-point free edge cutting of tetrahedral meshes with applications in fracture,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.619762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a77d4ff4-5571-4b83-ade1-d7e285c2dc96 · outbound

This paper cites Fracture modeli ng using meshless methods and level sets in 3D: framework and modeling,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Fracture modeli ng using meshless methods and level sets in 3D: framework and modeling,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.598760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d79f69df-9364-4bf7-adb8-dd076e73621a · outbound

This paper cites A meshfree method based on the loca l partition of unity for cohesive cracks,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture A meshfree method based on the loca l partition of unity for cohesive cracks,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.578806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f1cade34-a62d-4105-8490-757a52190239 · outbound

This paper cites Reformulation of elasticity theory for di scontinuities and long-range force,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Reformulation of elasticity theory for di scontinuities and long-range force,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.562705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d4116d5e-0acb-4027-a74e-16d8286e69cd · outbound

This paper cites Adaptive coupling b etween damage mechanics and peridynamics: A route for objective simulati on of material degradation up to complete failure,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Adaptive coupling b etween damage mechanics and peridynamics: A route for objective simulati on of material degradation up to complete failure,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.545814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 71e29e6d-8211-4bfa-9e13-61c07537cf5d · outbound

This paper cites Developing a four-dimensional lattice sp ring model for mechanical responses of solids,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Developing a four-dimensional lattice sp ring model for mechanical responses of solids,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.530489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 72d0469f-807f-4240-bc4d-dd38a6a68e9c · outbound

This paper cites Strong disc ontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack- tracking strategy, and validations,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Strong disc ontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack- tracking strategy, and validations,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.515149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5ac445c0-ed8b-4c40-a6ce-0bdaafcce185 · outbound

This paper cites Smeared crack approach: b ack to the original track,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Smeared crack approach: b ack to the original track,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.497977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation edfa227e-27ae-4c2a-9d28-53c0c9f688ea · outbound

This paper cites Crack-path ﬁeld and s train-injection techniques in computational modeling of propagating material failure ,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Crack-path ﬁeld and s train-injection techniques in computational modeling of propagating material failure ,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.482134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9780d1e2-aad8-48fa-b1ea-e9588cdeb375 · outbound

This paper cites Finit e element modelling of internal and multiple localized cracks,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Finit e element modelling of internal and multiple localized cracks,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.463273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 693b9948-7ab4-4852-a76f-16a16a75e2f5 · outbound

This paper cites Phase ﬁeld mod eling of fracture in multi- physics problems. Part I. Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Phase ﬁeld mod eling of fracture in multi- physics problems. Part I. Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.443626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 71a24157-d3df-4b02-aaad-876c1b393780 · outbound

This paper cites Gradient damage vs phase- ﬁeld approaches for fracture: Similarities and differences,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Gradient damage vs phase- ﬁeld approaches for fracture: Similarities and differences,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.402602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 86c53253-8719-4e44-b940-a64de2290b40 · outbound

This paper cites A method for d ynamic crack and shear band propagation with phantom nodes,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture A method for d ynamic crack and shear band propagation with phantom nodes,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.375774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cadb21cf-9b69-437b-b6ea-a215f56fcb7f · outbound

This paper cites Phantom-node method for shell models with arbitrary cracks,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Phantom-node method for shell models with arbitrary cracks,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.348557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2bbbf78b-f257-438e-9eb2-e29193ec0d20 · outbound

This paper cites Frictional crack initiatio n and propagation analysis using the numerical manifold method,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Frictional crack initiatio n and propagation analysis using the numerical manifold method,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.324764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 77d5e4af-0c94-4e2b-8cbd-578573036f0c · outbound

This paper cites New strategies for some issues of num erical manifold method in simulation of crack propagation,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture New strategies for some issues of num erical manifold method in simulation of crack propagation,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.301859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1fd47363-1ce4-43f2-9c0a-7cf95d6c92d8 · outbound

This paper cites Micro-mechanical model ing of the macro- mechanical response and fracture behavior of rock using the numerical manifold method,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Micro-mechanical model ing of the macro- mechanical response and fracture behavior of rock using the numerical manifold method,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.277924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f582e5d4-d094-4d1a-8c45-b710e93c4221 · outbound

This paper cites Crack propagation criter ia in the framework of X- FEM-based structural analyses,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Crack propagation criter ia in the framework of X- FEM-based structural analyses,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.254427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 261f400a-fe06-43b7-9d49-5f2f6bc1592d · outbound

This paper cites A Finite el ement with embedded localization zones,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture A Finite el ement with embedded localization zones,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.233482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cbcd269b-0f6c-4925-9fc2-b74ad1c7f505 · outbound

This paper cites Energy-based modeling of cohesive and cohesionless cracks via X-FEM,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Energy-based modeling of cohesive and cohesionless cracks via X-FEM,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.211665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 27755aa0-52b7-4429-aea4-a59e0812071a · outbound

This paper cites A softening-healing law for sel f-healing quasi-brittle materials: analyzing with strong discontinuity embedded a pproach,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture A softening-healing law for sel f-healing quasi-brittle materials: analyzing with strong discontinuity embedded a pproach,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.185802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation de20297c-62bb-4081-a554-fa817632be68 · outbound

This paper cites 3D modelling of strong discon tinuities in elastoplastic solids: ﬁxed and rotating localization formulations,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture 3D modelling of strong discon tinuities in elastoplastic solids: ﬁxed and rotating localization formulations,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.164112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 666eddcb-1b14-46dd-b46b-9ca343586ea4 · outbound

This paper cites Some remarks on the compressed matrix rep resentation of symmetric second-order and fourth-order tensors,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Some remarks on the compressed matrix rep resentation of symmetric second-order and fourth-order tensors,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.142488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5d6c7ef7-3249-41ec-b001-7c496cfe84ba · outbound

This paper cites Extended embedded ﬁni te elements with continuous displacement jumps for the modeling of localize d failure in solids,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Extended embedded ﬁni te elements with continuous displacement jumps for the modeling of localize d failure in solids,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.120685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f4f5ddd3-aeaa-4e37-824a-b32c7ee064b5 · outbound

This paper cites an unresolved cited work.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:59:00.099236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 227e05dc-bb86-402c-bc9d-ab432aa45569 · outbound

This paper cites Propagation and coalescence of quasi-static cracks in brazilian disks: an insight from a phase ﬁeld model,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Propagation and coalescence of quasi-static cracks in brazilian disks: an insight from a phase ﬁeld model,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.075495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 211a98c3-ce2a-43cc-982b-2405775cb8d8 · outbound

This paper cites Numerical simulation of cra ck propagation and coalescence in pre-cracked rock-like brazilian disks usin g the non-ordinary state- based peridynamics,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture Numerical simulation of cra ck propagation and coalescence in pre-cracked rock-like brazilian disks usin g the non-ordinary state- based peridynamics,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:59:00.049090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ce41a8b1-5403-4a6d-a763-2da0e56b215a · outbound

This paper cites On crack propagat ion in brittle material using the distinct lattice spring model,.

Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture On crack propagat ion in brittle material using the distinct lattice spring model,

Reference 39

Resolution: malformed identifier; no resolver link, observed 2026-08-14T12:58:59.977366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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