Paper Citation Record · LEDGER

A variational approach to fracture incorporating any convex strength criterion

As of 14 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 6 inbound Pith citation observations for arXiv:2506.22558.

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pith.paper-citation-record.v1
2506.22558 v1

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Outbound references

Observation e8c842a5-2661-4e77-92a0-7a63e7328e61 · outbound

This paper cites Journal de M´ ecanique20(1), 3–39 (1981).

A variational approach to fracture incorporating any convex strength criterion Journal de M´ ecanique20(1), 3–39 (1981)

Reference 1

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This paper cites Archive for Rational Mechanics and Analysis 180, 237–291 (2006) https: //doi.org/10.1007/s00205-005-0407-0.

A variational approach to fracture incorporating any convex strength criterion Archive for Rational Mechanics and Analysis 180, 237–291 (2006) https: //doi.org/10.1007/s00205-005-0407-0

Reference 2

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This paper cites Interfaces and Free Boundaries 17(4), 497–516 (2015) https://doi.org/10.4171/IFB/ 351 46.

A variational approach to fracture incorporating any convex strength criterion Interfaces and Free Boundaries 17(4), 497–516 (2015) https://doi.org/10.4171/IFB/ 351 46

Reference 3

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This paper cites Journal f¨ ur die reine und angewandte Mathematik 458, 1–18 (1995) https://doi.org/10.1515/crll.

A variational approach to fracture incorporating any convex strength criterion Journal f¨ ur die reine und angewandte Mathematik 458, 1–18 (1995) https://doi.org/10.1515/crll

Reference 4

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This paper cites Archive for Rational Mechanics and Analysis 248(2) (2024) https://doi.

A variational approach to fracture incorporating any convex strength criterion Archive for Rational Mechanics and Analysis 248(2) (2024) https://doi

Reference 5

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Observation c826f020-43a7-4b87-b732-493c3edab9b0 · outbound

This paper cites Advances in Applied Mechanics 7, 55–129 (1962) https://doi.org/10.1016/S0065-2156(08)70121-2.

A variational approach to fracture incorporating any convex strength criterion Advances in Applied Mechanics 7, 55–129 (1962) https://doi.org/10.1016/S0065-2156(08)70121-2

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This paper cites Journal of the Mechanics and Physics of Solids 59(6), 1163–1190 (2011) https://doi.org/10.1016/j.jmps.2011.03.010.

A variational approach to fracture incorporating any convex strength criterion Journal of the Mechanics and Physics of Solids 59(6), 1163–1190 (2011) https://doi.org/10.1016/j.jmps.2011.03.010

Reference 7

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This paper cites Physical Review Letters 112(1), 014301 (2014) https://doi.org/10.1103/ PhysRevLett.112.014301.

A variational approach to fracture incorporating any convex strength criterion Physical Review Letters 112(1), 014301 (2014) https://doi.org/10.1103/ PhysRevLett.112.014301

Reference 8

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This paper cites Journal of the Mechanics and Physics of Solids 110, 80–99 (2018) https://doi.org/10.1016/j.jmps.2017.09.006.

A variational approach to fracture incorporating any convex strength criterion Journal of the Mechanics and Physics of Solids 110, 80–99 (2018) https://doi.org/10.1016/j.jmps.2017.09.006

Reference 9

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Observation 0a0d8345-c129-4fcb-8b4a-6f9a88e6e2c1 · outbound

This paper cites International Journal of Solids and Structures 38, 6427–6454 (2001).

A variational approach to fracture incorporating any convex strength criterion International Journal of Solids and Structures 38, 6427–6454 (2001)

Reference 10

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This paper cites Journal of the Mechanics and Physics of Solids 57(8), 1209–1229 (2009) https://doi.org/10.1016/j.jmps.2009.04.011.

A variational approach to fracture incorporating any convex strength criterion Journal of the Mechanics and Physics of Solids 57(8), 1209–1229 (2009) https://doi.org/10.1016/j.jmps.2009.04.011

Reference 11

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This paper cites Journal of the Mechanics and Physics of Solids 142, 104027 (2020) https://doi.org/10.1016/j.jmps.2020.104027.

A variational approach to fracture incorporating any convex strength criterion Journal of the Mechanics and Physics of Solids 142, 104027 (2020) https://doi.org/10.1016/j.jmps.2020.104027

Reference 13

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This paper cites International Journal of Fracture (2024) https://doi.org/10.1007/s10704-024-00763-w.

A variational approach to fracture incorporating any convex strength criterion International Journal of Fracture (2024) https://doi.org/10.1007/s10704-024-00763-w

Reference 14

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This paper cites Cours de calcul des structures an´ elastiques.

A variational approach to fracture incorporating any convex strength criterion Cours de calcul des structures an´ elastiques

Reference 15

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Observation f64f5f86-2041-43b5-82ef-adf2d551674b · outbound

This paper cites In: Landriani, G.S., Salen¸ con, J.

A variational approach to fracture incorporating any convex strength criterion In: Landriani, G.S., Salen¸ con, J

Reference 16

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This paper cites Journal of the Mechanics and Physics of Solids 48(4), 797–826 (2000) https://doi.org/10.1016/ S0022-5096(99)00028-9.

A variational approach to fracture incorporating any convex strength criterion Journal of the Mechanics and Physics of Solids 48(4), 797–826 (2000) https://doi.org/10.1016/ S0022-5096(99)00028-9

Reference 17

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This paper cites Lecture Notes in Mathematics, vol.

A variational approach to fracture incorporating any convex strength criterion Lecture Notes in Mathematics, vol

Reference 18

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This paper cites Journal de Math´ ematiques Pures et Appliqu´ ees83, 929–954 (2004) https://doi.org/10.1016/j.matpur.2004.02.

A variational approach to fracture incorporating any convex strength criterion Journal de Math´ ematiques Pures et Appliqu´ ees83, 929–954 (2004) https://doi.org/10.1016/j.matpur.2004.02

Reference 19

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This paper cites an approximation result for special functions with bounded defor- mation.

A variational approach to fracture incorporating any convex strength criterion an approximation result for special functions with bounded defor- mation

Reference 20

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This paper cites Communications on Pure 47 and Applied Analysis 12, 1657–1686 (2013) https://doi.org/10.3934/cpaa.2013.12.1657.

A variational approach to fracture incorporating any convex strength criterion Communications on Pure 47 and Applied Analysis 12, 1657–1686 (2013) https://doi.org/10.3934/cpaa.2013.12.1657

Reference 21

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This paper cites Les concepts fondamen- taux.

A variational approach to fracture incorporating any convex strength criterion Les concepts fondamen- taux

Reference 22

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This paper cites Les mod` eles ` a gradient.

A variational approach to fracture incorporating any convex strength criterion Les mod` eles ` a gradient

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This paper cites Journal of the Mechanics and Physics of Solids 63, 256–284 (2014) https://doi.org/10.1016/j.jmps.2013.09.003.

A variational approach to fracture incorporating any convex strength criterion Journal of the Mechanics and Physics of Solids 63, 256–284 (2014) https://doi.org/10.1016/j.jmps.2013.09.003

Reference 24

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This paper cites Meccanica 51(12), 3107–3128 (2016) https://doi.org/10.1007/s11012-016-0538-4.

A variational approach to fracture incorporating any convex strength criterion Meccanica 51(12), 3107–3128 (2016) https://doi.org/10.1007/s11012-016-0538-4

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This paper cites Comptes Rendus M´ ecanique 351(SI S3), 43–63 (2023) https://doi.org/10.5802/ crmeca.156.

A variational approach to fracture incorporating any convex strength criterion Comptes Rendus M´ ecanique 351(SI S3), 43–63 (2023) https://doi.org/10.5802/ crmeca.156

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This paper cites Journal of the Mechanics and Physics of Solids 192, 105802 (2024) https://doi.org/10.1016/j.jmps.2024.105802.

A variational approach to fracture incorporating any convex strength criterion Journal of the Mechanics and Physics of Solids 192, 105802 (2024) https://doi.org/10.1016/j.jmps.2024.105802

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A variational approach to fracture incorporating any convex strength criterion Comptes Rendus M´ ecanique339(1), 20–26 (2011) https://doi.org/10.1016/j

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This paper cites Annales de l’Institut Henri Poincar´ e C, Analyse non lin´ eaire33(4), 1033–1067 (2016) https://doi.org/10.1016/ j.anihpc.2015.02.001.

A variational approach to fracture incorporating any convex strength criterion Annales de l’Institut Henri Poincar´ e C, Analyse non lin´ eaire33(4), 1033–1067 (2016) https://doi.org/10.1016/ j.anihpc.2015.02.001

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This paper cites Journal of the Mechanics and Physics of Solids 196, 106036 (2025) https://doi.org/10.1016/j.jmps.2025.106036.

A variational approach to fracture incorporating any convex strength criterion Journal of the Mechanics and Physics of Solids 196, 106036 (2025) https://doi.org/10.1016/j.jmps.2025.106036

Reference 30

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This paper cites Interdisciplinary Applied Mathematics, vol.

A variational approach to fracture incorporating any convex strength criterion Interdisciplinary Applied Mathematics, vol

Reference 31

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This paper cites Modern Applied Mathematics Series.

A variational approach to fracture incorporating any convex strength criterion Modern Applied Mathematics Series

Reference 32

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This paper cites Journal of the Mechanics and Physics of Solids 97, 125–139 (2016) https://doi.org/10.1016/j.jmps.

A variational approach to fracture incorporating any convex strength criterion Journal of the Mechanics and Physics of Solids 97, 125–139 (2016) https://doi.org/10.1016/j.jmps

Reference 33

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This paper cites Grundlehren der mathematischen Wissenschaften, vol.

A variational approach to fracture incorporating any convex strength criterion Grundlehren der mathematischen Wissenschaften, vol

Reference 34

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This paper cites In: Evolutionary Equations.

A variational approach to fracture incorporating any convex strength criterion In: Evolutionary Equations

Reference 35

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This paper cites Archive for Rational Mechanics and Analysis 214(2), 575–615 (2014) https: //doi.org/0.1007/s00205-014-0763-8.

A variational approach to fracture incorporating any convex strength criterion Archive for Rational Mechanics and Analysis 214(2), 575–615 (2014) https: //doi.org/0.1007/s00205-014-0763-8

Reference 36

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This paper cites Mechanics of Materials 80, 351–367 (2015) https://doi.org/10.

A variational approach to fracture incorporating any convex strength criterion Mechanics of Materials 80, 351–367 (2015) https://doi.org/10

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:11:00.930171Z

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This paper cites Calculus of Variations and Partial Differential Equations 55(3) (2016) https://doi.org/10.1007/s00526-016-0981-z.

A variational approach to fracture incorporating any convex strength criterion Calculus of Variations and Partial Differential Equations 55(3) (2016) https://doi.org/10.1007/s00526-016-0981-z

Reference 38

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This paper cites 48 Quarterly of Applied Mathematics 9, 381–389 (1952) https://doi.org/10.1090/qam/45573.

A variational approach to fracture incorporating any convex strength criterion 48 Quarterly of Applied Mathematics 9, 381–389 (1952) https://doi.org/10.1090/qam/45573

Reference 39

Resolution: verified exact; doi, observed 2026-08-06T22:10:57.038607Z

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This paper cites European Journal of Mechanics A/Solids 25(4), 649–669 (2006) https://doi.org/10.1016/ j.euromechsol.2006.05.00.

A variational approach to fracture incorporating any convex strength criterion European Journal of Mechanics A/Solids 25(4), 649–669 (2006) https://doi.org/10.1016/ j.euromechsol.2006.05.00

Reference 40

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This paper cites North-Holland, Amsterdam (1976).

A variational approach to fracture incorporating any convex strength criterion North-Holland, Amsterdam (1976)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:11:00.593745Z

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This paper cites Cambridge University Press, Cambridge (2004).

A variational approach to fracture incorporating any convex strength criterion Cambridge University Press, Cambridge (2004)

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:11:00.392187Z

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This paper cites Quarterly of Applied Mathematics 10(2), 157–165 (1952) https://doi.org/10.1090/qam/48291.

A variational approach to fracture incorporating any convex strength criterion Quarterly of Applied Mathematics 10(2), 157–165 (1952) https://doi.org/10.1090/qam/48291

Reference 43

Resolution: verified exact; doi, observed 2026-08-06T22:10:56.787343Z

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This paper cites (ed.): Chapter 3 - Limit Analysis by the Upper-Bound Method.

A variational approach to fracture incorporating any convex strength criterion (ed.): Chapter 3 - Limit Analysis by the Upper-Bound Method

Reference 44

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T22:11:00.226364Z

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This paper cites Personal communication (2025).

A variational approach to fracture incorporating any convex strength criterion Personal communication (2025)

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:59.992753Z

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Observation 53fa425a-ab06-4678-a996-27f7236b1c91 · outbound

This paper cites Cambridge University Press, Cambridge (1990).

A variational approach to fracture incorporating any convex strength criterion Cambridge University Press, Cambridge (1990)

Reference 46

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Observation 3abb4f88-26e8-4e99-accd-9623d8f6ba0a · outbound

This paper cites Journal of Elasticity 91(1–3), 5–148 (2008) https://doi.org/10.1007/s10659-007-9107-3 49.

A variational approach to fracture incorporating any convex strength criterion Journal of Elasticity 91(1–3), 5–148 (2008) https://doi.org/10.1007/s10659-007-9107-3 49

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-06T22:10:56.437011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c509122-52cf-4575-9bf6-61b8e1e8a411 · outbound

This paper cites https://doi.org/10.1007/BFb0097344.

A variational approach to fracture incorporating any convex strength criterion https://doi.org/10.1007/BFb0097344

Reference 1694

Resolution: unresolved; no resolver link, observed 2026-08-06T22:10:53.544588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation e72bf2e7-4165-4e0e-98fb-cd849c68d375 · inbound

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation cites this paper.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation A variational approach to fracture incorporating any convex strength criterion

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-13T20:37:37.153011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbc8059b-f407-4689-b26e-3e05227be5a5 · inbound

A unified sharp-diffusive phase-field model for bulk and interfacial cohesive fracture cites this paper.

A unified sharp-diffusive phase-field model for bulk and interfacial cohesive fracture A variational approach to fracture incorporating any convex strength criterion

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:50:59.006058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 744bd5d0-c9b7-402b-9b88-1f54498b1f27 · inbound

Endowing variational phase-field fracture models with custom strength criteria cites this paper.

Endowing variational phase-field fracture models with custom strength criteria A variational approach to fracture incorporating any convex strength criterion

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-07-02T14:07:03.355009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bb4ac5d9-415a-433e-9f64-6fac038431fe · inbound

On phase-field regularization in dynamic fracture with brittle and cohesive formulations cites this paper.

On phase-field regularization in dynamic fracture with brittle and cohesive formulations A variational approach to fracture incorporating any convex strength criterion

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-02T04:55:45.995349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 939afb7b-3cdd-4e44-a7cc-8cb409d2a528 · inbound

On phase-field regularization in dynamic fracture with brittle and cohesive formulations cites this paper.

On phase-field regularization in dynamic fracture with brittle and cohesive formulations A variational approach to fracture incorporating any convex strength criterion

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T02:05:35.524967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 387014d0-9d37-4e70-ae55-13093c3e1638 · inbound

Strength-degradation phase-field regularization of cohesive fracture: the antiplane case cites this paper.

Strength-degradation phase-field regularization of cohesive fracture: the antiplane case A variational approach to fracture incorporating any convex strength criterion

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T12:38:21.219132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.