Paper Citation Record · LEDGER

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation

As of 20 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2508.04076.

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

pith.paper-citation-record.v1
2508.04076 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T01:02:50.684123Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:14:20.530525Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T12:14:20.917628Z

Reference resolution

46 of 46 outbound references displayed

verified exact0
verified fuzzy25
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eaf65f4e-9478-42bd-9761-4c47b20485ba · outbound

This paper cites write newline.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:46.572142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7239d1e-5cb9-4cc5-972d-c9554e94a1da · outbound

This paper cites , author Tortorelli, V.M.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Tortorelli, V.M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:55.547755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4eed117e-94fb-4c18-9bc5-466aff2e48d2 · outbound

This paper cites , author Belytschko, T.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Belytschko, T

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:55.286746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e286b91f-1b6e-448f-b0cd-82fcd7eb55e9 · outbound

This paper cites , author Song, J.H.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Song, J.H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:55.142286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5c73400b-9129-4b71-b29f-2ebefe2c9fae · outbound

This paper cites , author Black, T.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Black, T

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:54.959288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 58b10767-6b1f-4f66-ab9e-c72bd2d94f13 · outbound

This paper cites , author Rabczuk, T.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Rabczuk, T

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:46.930409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b36008ca-4adc-452c-85eb-39227cc18be4 · outbound

This paper cites , author Verhoosel, C.V.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Verhoosel, C.V

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:47.032918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9b03b7c-e3f0-41ae-b6d8-357f64271f94 · outbound

This paper cites , author Francfort, G.A.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Francfort, G.A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:54.784823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1657e7ae-38fa-484c-aa42-3c8bc95f351c · outbound

This paper cites , author Francfort, G.A.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Francfort, G.A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:54.629942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fbe2ab6b-fbc6-4d64-a2eb-ae1dc1a8b817 · outbound

This paper cites , author Tran, H.T.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Tran, H.T

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:54.427253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 25acb690-fc11-4d81-83ba-81afeeaf719b · outbound

This paper cites , author Tran, H.T.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Tran, H.T

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:47.321195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61ad8ed8-c2c4-44b2-b2fa-fbb8dcb0b7dc · outbound

This paper cites , year 1986.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , year 1986

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:54.203526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ebf1f99f-9e95-4ebe-b73c-35e1169b10a6 · outbound

This paper cites , author Song, J.H.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Song, J.H

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:53.973925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3a6992c8-8b22-4c1b-8474-9d3492185c42 · outbound

This paper cites , author Needleman, A.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Needleman, A

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:47.568453Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5805fad9-1303-4dd2-b78b-aa5e52447879 · outbound

This paper cites , author Marigo, J.J.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Marigo, J.J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:53.785586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6e6d12e0-fee4-4629-85a7-ab6876eba333 · outbound

This paper cites , author Holzapfel, G.A.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Holzapfel, G.A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:53.570542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4c168a0a-50f3-48ca-b5af-c83fa3036137 · outbound

This paper cites , author Liu, Y.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Liu, Y

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:47.801628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10426347-67c6-4a8b-beeb-93179731ba05 · outbound

This paper cites , year 1921.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , year 1921

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:47.901122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f786297f-a35a-4cf9-8f69-71d18fd17ad1 · outbound

This paper cites , author Li, G.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Li, G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:53.307827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4c983fab-26c0-47a0-be79-3d48874d1c69 · outbound

This paper cites , author Papoulia, K.D.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Papoulia, K.D

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:48.332175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 864e5677-2e2e-4262-a1fe-7aa2a5ad0622 · outbound

This paper cites , year 1973.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , year 1973

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:48.508993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e57f32f-fc99-436d-bd17-4a2fce73eccb · outbound

This paper cites , year 1988.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , year 1988

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:48.628129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e0bd992-92a8-4732-b1bb-27442a61132d · outbound

This paper cites , year 2000.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , year 2000

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:48.758647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33a90800-fdf5-424b-ad05-8ef5678e8797 · outbound

This paper cites , author Spring, D.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Spring, D

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:48.871044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29c68c60-4ba7-407f-8ddd-a9924af107d4 · outbound

This paper cites , author Niu, R.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Niu, R

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:53.054786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d94b9115-dd5a-43d1-a00a-71a9e226483c · outbound

This paper cites , author Liu, M.B.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Liu, M.B

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:52.882574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b02379ac-27e1-4dea-a5d0-d95102ee741e · outbound

This paper cites , author Rethore, J.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Rethore, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:52.626684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ab7ad5fa-0048-47ca-8d4d-55f1530fbe2f · outbound

This paper cites , author R \'e thor \'e , J.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author R \'e thor \'e , J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:52.420391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ece1d71c-2f8f-4cb8-9e01-3d6672ce0014 · outbound

This paper cites , author Bo s njak, J.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Bo s njak, J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:49.215555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b37ba4d2-7e53-4115-aa97-b85896bfdc21 · outbound

This paper cites , author Paulino, G.H.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Paulino, G.H

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:52.237160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 756d6e2a-964c-42ec-8996-1eca3c5a0dfa · outbound

This paper cites , author Park, K.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Park, K

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:49.392373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ed2c587-08d0-43da-8ec4-7813ce42a256 · outbound

This paper cites , author Areias, P.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Areias, P

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:52.024184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 40c94332-e18d-48c5-aefa-f3d4e8076e89 · outbound

This paper cites , author Belytschko, T.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Belytschko, T

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:49.544548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7141ae15-b21f-49fd-8c43-2c8e7c211ece · outbound

This paper cites , author Belytschko, T.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Belytschko, T

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:49.651455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c89db2db-da1e-4834-91df-dfce7a5e402e · outbound

This paper cites , author Kobayashi, A.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Kobayashi, A

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:49.755065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f28abcae-dcf9-4638-adf0-4c9ff49d8a0e · outbound

This paper cites , author Guan, X.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Guan, X

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:51.811210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bef979f3-653f-4ae1-8a89-b33635fceba9 · outbound

This paper cites , author Maigre, H.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Maigre, H

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:51.647126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7d1bf715-40c4-494c-91c7-a6dd7cc1f3c0 · outbound

This paper cites , year 1988.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , year 1988

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:51.475457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 18609fda-8913-4e13-8859-4f2a5a2210d2 · outbound

This paper cites , author Han, H.C.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Han, H.C

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:51.315160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 97bd58f8-b350-42dd-b255-ba98117d20ae · outbound

This paper cites , year 2000.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , year 2000

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:51.143762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7380a382-833a-4391-a1ba-fa18c2215331 · outbound

This paper cites , author Belytschko, T.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Belytschko, T

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:50.296642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e53c729-94fc-4afc-b022-f8968f67256c · outbound

This paper cites , author Bui, T.Q.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Bui, T.Q

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:51.025433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 687c6bf8-a183-4d14-bf95-28e4f70c72cf · outbound

This paper cites , author Yu, T.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Yu, T

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:02:50.907956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3a30bb62-9dc8-48d7-a2b6-8ecec9969f6b · outbound

This paper cites A Practical Finite Element Approach for Simulating Dynamic Crack Growth in Cu/Ultra Low-k Interconnect Structures.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation A Practical Finite Element Approach for Simulating Dynamic Crack Growth in Cu/Ultra Low-k Interconnect Structures

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:50.512828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation caddbb8d-4777-43c2-b5e6-a16b46c19ccb · outbound

This paper cites , author Needleman, A.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Needleman, A

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:50.607447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 522744e2-e238-412d-a82c-8a62d942ab81 · outbound

This paper cites , author Needleman, A.

A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation , author Needleman, A

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-06T01:02:50.684123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 666d0917-d000-4780-8b3e-5d26df645d85 · inbound

Revisit of Two-dimensional CEM on Crack Branching: from Single Crack-tip Tracking to Multiple Crack-tips Tracking cites this paper.

Revisit of Two-dimensional CEM on Crack Branching: from Single Crack-tip Tracking to Multiple Crack-tips Tracking A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:14:20.992079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.