Paper Citation Record · LEDGER

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

As of 13 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2603.21811.

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

pith.paper-citation-record.v1
2603.21811 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T20:37:37.153011Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

50 of 50 outbound references displayed

verified exact24
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier10
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8d4f4a31-3614-49a3-bf43-c4058d230bba · outbound

This paper cites Egger, U.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Egger, U

Reference 1

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.184489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 03e1b419-6988-4446-b540-ddc99ba9ff77 · outbound

This paper cites de Borst, Fracture and damage in quasi-brittle materials: A comparison of approaches, Theoretical and Applied Fracture Mechanics 122 (2022) 103652.doi:10.1016/j.tafmec.2022.103652.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation de Borst, Fracture and damage in quasi-brittle materials: A comparison of approaches, Theoretical and Applied Fracture Mechanics 122 (2022) 103652.doi:10.1016/j.tafmec.2022.103652

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-13T20:39:54.228693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 830802b3-5b0c-4bdf-9de5-04dc6d02c00a · outbound

This paper cites Navidtehrani, C.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Navidtehrani, C

Reference 3

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.257619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2a8f7c4a-826e-4969-9f61-9aa4afa7c16f · outbound

This paper cites Chen, J.-Y.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Chen, J.-Y

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-13T20:39:54.152653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b1a1603a-a11d-4003-b0e8-2ca14dcec709 · outbound

This paper cites Molnár, A.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Molnár, A

Reference 5

Resolution: malformed identifier; doi_truncated, observed 2026-07-13T20:39:54.156618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4cc4a946-5835-43e0-be41-c5a85a44f743 · outbound

This paper cites Bourdin, J.-J.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Bourdin, J.-J

Reference 6

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.210157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d7f51bea-5f0c-40b2-adc1-e0f2f161c04b · outbound

This paper cites Hofacker, C.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Hofacker, C

Reference 7

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 4e0efce2-d9c3-4161-a532-62a1b7505cf6 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.134705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9c144b73-6bf6-4ef3-a11c-ba333997a66c · outbound

This paper cites Clayton, R.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Clayton, R

Reference 9

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.174037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f4601259-cc88-4ab8-bc50-06380b9373fc · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 10

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 4940ea04-584e-4d75-89e5-d3fbd17f4b7c · outbound

This paper cites Miehe, S.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Miehe, S

Reference 11

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.205410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4c8965ce-cca8-4f8f-9da1-f06327dc8d12 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 12

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 f9abf635-867f-4d5f-b93c-d107965a8787 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.232040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 580a502b-92c9-4391-98ad-3b1e7f4eea74 · outbound

This paper cites Hageman, E.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Hageman, E

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-13T20:39:54.191138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0f8c4831-ee4b-4514-9f18-cfeb0568b28d · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.169814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 62360cfe-f97a-4ccb-bcdc-5a8cf4a3b102 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 16

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e71514e2-a88d-4adc-8354-7990c7518405 · outbound

This paper cites Lopez-Pamies, J.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Lopez-Pamies, J

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-13T20:39:54.136480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 757a4af2-5a34-45a8-a5d1-eac6cb557507 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 18

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 faaf4f6a-5ec3-4c70-bd32-6ebd15a933a2 · outbound

This paper cites Tanné, T.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Tanné, T

Reference 19

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.261711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9800cab9-0b45-4f6e-96df-d4070d33f920 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 20

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 879f4c9f-09ac-4b3b-8e1f-380f4526aacc · outbound

This paper cites Kumar, B.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Kumar, B

Reference 21

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86f9f327-6b98-4d77-a598-bab823ca4eea · outbound

This paper cites De Lorenzis, C.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation De Lorenzis, C

Reference 22

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 8676f6ff-07d3-4378-8cc7-87a609aa67f1 · outbound

This paper cites Vicentini, C.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Vicentini, C

Reference 23

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.271411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3438c884-f681-4abd-ae27-3efb22e0c596 · outbound

This paper cites Zhang, W.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Zhang, W

Reference 24

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.250540Z

Source-reported events for the cited work

correction dated 2024-01-02. Source: crossref record 10.1186/s41313-023-00051-5->10.1186/s41313-021-00037-1:correction, observed 2026-07-11T03:01:30.163632+00:00. This notice travels one citation hop only.

Observation f24a08be-27b3-437b-8c06-ce346aaa318c · outbound

This paper cites Infante-García, A.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Infante-García, A

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-13T20:39:54.198855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7a8c2901-cee9-485b-8efa-d1204d5489eb · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 26

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ccdaca4-74e7-4e59-aa16-ab178ecbd807 · outbound

This paper cites Gupta, D.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Gupta, D

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-13T20:39:54.164895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 03e4adc6-7496-486e-84b5-355e73382ca8 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-07-13T20:39:54.183249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a2e6d7ac-f8d5-4f01-836a-c07be35a3528 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 29

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 95b4c7a0-0b79-40f7-81c9-9a06c9776de1 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 30

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.164996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a381f41e-373a-4e40-8aed-9f01d4ab4ddc · outbound

This paper cites Ghaffari Motlagh, R.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Ghaffari Motlagh, R

Reference 31

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.282532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9d4fa7b5-17d4-4fd1-971e-77ba391f8395 · outbound

This paper cites Miehe, F.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Miehe, F

Reference 32

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2eb3080-9635-4531-aaf1-1bd025b58008 · outbound

This paper cites Ambati, T.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Ambati, T

Reference 33

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 43e568d1-0355-4e91-8ef1-09644aa27626 · outbound

This paper cites Alessi, J.-J.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Alessi, J.-J

Reference 34

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.216858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1ae96756-6d60-4666-bd46-ac806c5e4551 · outbound

This paper cites Vicentini, J.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Vicentini, J

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-07-13T20:39:54.227511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

This paper cites A variational approach to fracture incorporating any convex strength criterion.

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 1bb50f23-70f4-4fa6-952e-84320dafa91c · outbound

This paper cites Miehe, F.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Miehe, F

Reference 37

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 0d8fa563-dc01-4bc0-a25e-1490907c8ece · outbound

This paper cites Ambati, R.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Ambati, R

Reference 38

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 5d5a12d8-9f95-47a1-a489-1e6a3a180f03 · outbound

This paper cites Aldakheel, P.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Aldakheel, P

Reference 39

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4e2da78-4a93-4721-9e58-c454b1a67039 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 40

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bce4c38-ba37-42db-bd72-37d9bada51eb · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-07-13T20:39:54.280187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 34400a4c-fce1-4004-b6e2-cf2e500d3b8c · outbound

This paper cites Zhang, R.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Zhang, R

Reference 42

Resolution: verified exact; doi, observed 2026-07-13T20:39:54.148191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f53dfba7-d1a4-42a6-8f04-2590ae2a46d5 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 43

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6fa76911-f5b8-426b-a5ef-587125b4f89a · outbound

This paper cites Bourdin, G.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Bourdin, G

Reference 44

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 b3c98613-fafb-4d84-98be-ea5c71399409 · outbound

This paper cites Miehe, F.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Miehe, F

Reference 45

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 30e9654a-86da-4962-a849-12b56cf5051c · outbound

This paper cites Gerasimov, L.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Gerasimov, L

Reference 46

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 c7dd9111-0484-4b11-ad15-4fcd63a7abdf · outbound

This paper cites Ambrosio, V.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Ambrosio, V

Reference 47

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da323f1a-99df-40fe-b098-c90a6a9cce25 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 48

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 ff011e04-a019-469b-8705-d6ab3c091065 · outbound

This paper cites an unresolved cited work.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Unresolved cited work

Reference 49

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 73326908-a290-4c21-a329-291009e3f104 · outbound

This paper cites Timoshenko, Theory of elasticity, third edition.

Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation Timoshenko, Theory of elasticity, third edition

Reference 50

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.