Paper Citation Record · LEDGER

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness

As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2506.06949.

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

pith.paper-citation-record.v1
2506.06949 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:53:57.817213Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

39 of 39 outbound references displayed

verified exact0
verified fuzzy36
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 001641bc-a25e-4c38-ad86-b4ebf000caa4 · outbound

This paper cites Rupture time under creep conditions.Izv.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Rupture time under creep conditions.Izv

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:08.354543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 71605de6-a340-40e4-8d82-fb0c9e382f57 · outbound

This paper cites Springer Science & Business Media, 1986.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Springer Science & Business Media, 1986

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:08.096317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a7946474-1ac8-4154-8bc4-54569eae0b9c · outbound

This paper cites Continuum damage mechanics: Part i—general concepts.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Continuum damage mechanics: Part i—general concepts

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:07.925169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 70893046-4b89-40ec-91ca-1847ee58b028 · outbound

This paper cites Springer science & business media, 2012.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Springer science & business media, 2012

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:07.777426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 65c0af95-e1e7-4aa6-a970-9472e74cc051 · outbound

This paper cites Springer Science & Business Media, 2012.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Springer Science & Business Media, 2012

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:07.647170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b6c84b90-b702-4893-9d82-257ac83cb743 · outbound

This paper cites Multi-scale constitutive modeling of ceramic matrix composites by continuum damage mechanics.International Journal of Solids and Structures, 51(23-24):4068–4081, 2014.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Multi-scale constitutive modeling of ceramic matrix composites by continuum damage mechanics.International Journal of Solids and Structures, 51(23-24):4068–4081, 2014

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:07.518534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ff30d044-2bd9-4348-a01e-edfb1cf71ee8 · outbound

This paper cites Springer Science & Business Media, 2006.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Springer Science & Business Media, 2006

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:07.325165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2f8afad6-67d6-43c0-a133-e0fa359fb092 · outbound

This paper cites Springer, 2016.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Springer, 2016

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:07.183010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 678cfb22-b2e4-4215-8016-c2648c91a01e · outbound

This paper cites Mechanical modeling of material damage.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Mechanical modeling of material damage

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:07.030078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ce70d6f2-1af6-4c64-8908-d9bec568f352 · outbound

This paper cites Springer Science & Business Media, 2010.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Springer Science & Business Media, 2010

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:06.859880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 30c73630-3d3a-419e-b251-9dbe46499c0b · outbound

This paper cites Quantum logic and probability theory.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Quantum logic and probability theory

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:06.559853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 388170a0-98d9-4a99-b9fe-b09020312e2f · outbound

This paper cites Statistical size effect in quasi-brittle structures: I.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Statistical size effect in quasi-brittle structures: I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:06.362387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 586b9529-4795-4262-b9a0-1baa4dce4cfa · outbound

This paper cites Fluctuation-based fracture mechanics of heterogeneous materials.Physical Review E, 106(6):065003, 2022.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Fluctuation-based fracture mechanics of heterogeneous materials.Physical Review E, 106(6):065003, 2022

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:06.126607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 789957a7-9ff9-43ee-9fc2-bd7c2b598e26 · outbound

This paper cites an unresolved cited work.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:54:05.937745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5bc6dd60-79af-455d-8747-74fd0858fbf9 · outbound

This paper cites Cambridge university press, 1998.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Cambridge university press, 1998

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:05.802232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4a356984-db57-4dd3-a9fd-0cdde3abcb83 · outbound

This paper cites A statistical distribution function of wide applicability.Journal of applied mechanics, 1951.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness A statistical distribution function of wide applicability.Journal of applied mechanics, 1951

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:05.582349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 94be4a83-37f8-4704-8c5a-19191ecac748 · outbound

This paper cites Routledge, 2019.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Routledge, 2019

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:05.294939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2f2d2fc0-30ad-4358-b67e-74405e4ea8cc · outbound

This paper cites Elsevier, 1996.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Elsevier, 1996

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:04.982173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fad6f7c8-f31f-4b03-8bd5-da887a4fcda9 · outbound

This paper cites Thermodynamically Consistent Damage Models Derived from Cumulative Distri- bution Functions, with FEM Implementations.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Thermodynamically Consistent Damage Models Derived from Cumulative Distri- bution Functions, with FEM Implementations

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:04.600684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8cabf8e2-2872-40cd-b791-4729132dcd17 · outbound

This paper cites Routledge, 2018.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Routledge, 2018

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:04.217927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6f156e0b-a437-4843-b53c-3294864ad8a5 · outbound

This paper cites Stockholms universitet, 1996.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Stockholms universitet, 1996

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:03.842740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 927a2fac-1a22-42f7-b4a2-d2831136f21d · outbound

This paper cites Variational damage model: a new paradigm for fractures.Frontiers of Structural and Civil Engineering, 19(1):1–21, 2025.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Variational damage model: a new paradigm for fractures.Frontiers of Structural and Civil Engineering, 19(1):1–21, 2025

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:03.413959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dd41c8cb-d0f3-4330-bc86-5cf9e26bf54a · outbound

This paper cites Oxford university press, 2000.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Oxford university press, 2000

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:03.109820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1e3cf9c4-9a3c-49ae-86b2-09347e037618 · outbound

This paper cites Springer Science & Business Media, 1993.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Springer Science & Business Media, 1993

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:02.813306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a6292079-912d-4cb6-a393-8c8b28fc066c · outbound

This paper cites A mathematical model for rate-independent phase transformations with hysteresis.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness A mathematical model for rate-independent phase transformations with hysteresis

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:02.503658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0ce0ba6d-a10e-4c5c-ac07-902f103b9c5e · outbound

This paper cites Existence results for energetic models for rate-independent systems.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Existence results for energetic models for rate-independent systems

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:02.207674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8f0e727e-654a-4257-9c1f-ec132c6d435a · outbound

This paper cites A rate-independent model for inelastic behavior of shape-memory alloys.Multiscale Modeling&Simulation, 1(4):571–597, 2003.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness A rate-independent model for inelastic behavior of shape-memory alloys.Multiscale Modeling&Simulation, 1(4):571–597, 2003

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:01.975293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6e5d4b6f-0295-4478-bf1e-c69bb43cd718 · outbound

This paper cites Quasistatic crack growth in nonlinear elasticity.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Quasistatic crack growth in nonlinear elasticity

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:01.751223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 76eb5f85-740d-4b9f-822b-90272cd575cc · outbound

This paper cites an unresolved cited work.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:54:01.491484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1e514778-5818-414a-a2fa-22a25ceff952 · outbound

This paper cites On the folded normal distribution.Mathematics, 2(1):12–28, 2014.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness On the folded normal distribution.Mathematics, 2(1):12–28, 2014

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:01.180763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1ccf8f84-ee01-4ee5-8566-48e10746f508 · outbound

This paper cites CRC standard mathematical tables.West Palm Beach, 1978.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness CRC standard mathematical tables.West Palm Beach, 1978

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:00.830497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8c053116-bfe9-46ad-92a1-1a0284a25de0 · outbound

This paper cites The generalized gudermannian distribution: inference and volatility modelling.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness The generalized gudermannian distribution: inference and volatility modelling

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:00.457602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fa2c94b4-ad69-40d6-95f4-60405aefe85b · outbound

This paper cites Generalized hypergeometric, digamma and trigamma distributions.Annals of the Institute of Statistical Mathematics, 31:373–390, 1979.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Generalized hypergeometric, digamma and trigamma distributions.Annals of the Institute of Statistical Mathematics, 31:373–390, 1979

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:54:00.100578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4a3b5122-b3df-40a7-afd1-0ceea210f017 · outbound

This paper cites Calculation methods for Wallenius’ noncentral hypergeometric distribution.Com- munications in Statistics—Simulation and Computation®, 37(2):258–273, 2008.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Calculation methods for Wallenius’ noncentral hypergeometric distribution.Com- munications in Statistics—Simulation and Computation®, 37(2):258–273, 2008

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:53:59.736497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 93c67b31-472f-4de0-ab26-d3bf27326874 · outbound

This paper cites an unresolved cited work.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:53:59.425624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2a6c3058-0831-4d71-996b-678b05693c65 · outbound

This paper cites Academic press, 2011.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Academic press, 2011

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:53:59.120714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f81c38bf-c356-438d-95af-a2df5568e6a7 · outbound

This paper cites Variational damage model: A novel consis- tent approach to fracture.Computers&Structures, 305:107518, 2024.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Variational damage model: A novel consis- tent approach to fracture.Computers&Structures, 305:107518, 2024

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:53:58.758882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7905cd0d-d950-4b60-9cde-1e41bd390ba3 · outbound

This paper cites Hyperelasticity with softening for modeling materials failure.Journal of the Mechanics and Physics of Solids, 55(10):2237–2264, 2007.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness Hyperelasticity with softening for modeling materials failure.Journal of the Mechanics and Physics of Solids, 55(10):2237–2264, 2007

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:53:58.471838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e9fe1f84-791d-4fd7-9aac-7783037c71f4 · outbound

This paper cites A new energy-based local damage model for dynamic analysis of cracks.Compu- tational Mechanics, pages 1–25, 2024.

CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness A new energy-based local damage model for dynamic analysis of cracks.Compu- tational Mechanics, pages 1–25, 2024

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:53:58.173916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.