Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T13:16:19.652593Z
Paper Citation Record · LEDGER
On the effects of material strength in dynamic fracture: A phase-field study
As of 15 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 3 inbound Pith citation observations for arXiv:2411.16393.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:00:54.424824Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-08T22:38:32.068659Z
Reference resolution
42 of 42 outbound references displayed
- verified exact0
- verified fuzzy38
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ad83da2d-0d8b-4b31-a336-1e59a61aea1f · outbound
This paper cites Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments.
On the effects of material strength in dynamic fracture: A phase-field study Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.532068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cda7ccd5-be5c-4362-a3e9-17ee7d3451ea · outbound
This paper cites Munson, 2006.
On the effects of material strength in dynamic fracture: A phase-field study Munson, 2006
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.512892Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2cdf76f2-aec7-4fff-9213-ab033dc8448d · outbound
This paper cites A phase-field description of dynamic brittle fracture.
On the effects of material strength in dynamic fracture: A phase-field study A phase-field description of dynamic brittle fracture
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.495131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation aeeb115f-776c-408f-a34c-8ad53b1fdb99 · outbound
This paper cites Numerical experiments in revisited brittle fracture.
On the effects of material strength in dynamic fracture: A phase-field study Numerical experiments in revisited brittle fracture
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:16:19.464848Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 88da38a7-570e-4c89-9e96-6b4775a79236 · outbound
This paper cites A time-discrete model for dynamic fracture based on crack regularization.
On the effects of material strength in dynamic fracture: A phase-field study A time-discrete model for dynamic fracture based on crack regularization
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.465765Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5a924cfd-c8bb-4374-83a9-e3fbf736d0f5 · outbound
This paper cites Computational modelling of impact damage in brittle materials.
On the effects of material strength in dynamic fracture: A phase-field study Computational modelling of impact damage in brittle materials
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.447200Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 87ec471b-58c6-4094-b36e-308bf04565c8 · outbound
This paper cites Soil mechanics and plastic analysis or limit design.
On the effects of material strength in dynamic fracture: A phase-field study Soil mechanics and plastic analysis or limit design
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.429706Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dd29d669-c901-4b7b-b39d-3251efc06ae2 · outbound
This paper cites Revisiting brittle fracture as an energy minimization problem.
On the effects of material strength in dynamic fracture: A phase-field study Revisiting brittle fracture as an energy minimization problem
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:16:19.485462Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e561962-6fcc-41e2-9fa0-ac8938e14595 · outbound
This paper cites A phase-field formulation for dynamic cohesive fracture.
On the effects of material strength in dynamic fracture: A phase-field study A phase-field formulation for dynamic cohesive fracture
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.398995Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3283c3bd-dc6b-4657-9756-9de74a2ae900 · outbound
This paper cites A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach.
On the effects of material strength in dynamic fracture: A phase-field study A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.380927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7820a5cd-8a66-44ea-a742-36714480fcb9 · outbound
This paper cites Continuum phase field modeling of dynamic fracture: variational principles and staggered fe implementation.
On the effects of material strength in dynamic fracture: A phase-field study Continuum phase field modeling of dynamic fracture: variational principles and staggered fe implementation
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.362573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fc8af8cd-d4d0-4b22-b985-a11b52335410 · outbound
This paper cites A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns.
On the effects of material strength in dynamic fracture: A phase-field study A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.345248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6bac967e-ec88-421f-b4e7-ed285e14a853 · outbound
This paper cites an unresolved cited work.
On the effects of material strength in dynamic fracture: A phase-field study Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:16:20.328160Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 46e63051-f3d3-4b87-9449-4673068835df · outbound
This paper cites A phase-field model of fracture with frictionless contact and random fracture properties: Application to thin-film fracture and soil desiccation.
On the effects of material strength in dynamic fracture: A phase-field study A phase-field model of fracture with frictionless contact and random fracture properties: Application to thin-film fracture and soil desiccation
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.194052Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 10d8204f-2e49-4ea1-871f-6dc8c4ae3e86 · outbound
This paper cites The finite element method:Linear static and dynamic finite element analysis.
On the effects of material strength in dynamic fracture: A phase-field study The finite element method:Linear static and dynamic finite element analysis
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.176233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7564cfea-e1bf-4a68-87b8-110cd34eaeca · outbound
This paper cites Dynamic crack propagation with a variational phase-field model: limiting speed, crack branching and velocity.
On the effects of material strength in dynamic fracture: A phase-field study Dynamic crack propagation with a variational phase-field model: limiting speed, crack branching and velocity
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.159474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c7b85586-be06-450f-ac71-da8224a79210 · outbound
This paper cites Failure mode transition at high rates of shear loading.
On the effects of material strength in dynamic fracture: A phase-field study Failure mode transition at high rates of shear loading
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.140960Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8f6161f7-1592-41d1-8767-d49e116753f4 · outbound
This paper cites The poker-chip experiments of synthetic elastomers explained.
On the effects of material strength in dynamic fracture: A phase-field study The poker-chip experiments of synthetic elastomers explained
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.122820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5ce3c162-a00d-4995-8217-dc0a43def33c · outbound
This paper cites Nucleation of fracture: The first-octant evidence against classical variational phase-field models.
On the effects of material strength in dynamic fracture: A phase-field study Nucleation of fracture: The first-octant evidence against classical variational phase-field models
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.105190Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6404060f-5460-4f6b-b048-0e797ea5525b · outbound
This paper cites Revisiting nucleation in the phase-field approach to brittle fracture.
On the effects of material strength in dynamic fracture: A phase-field study Revisiting nucleation in the phase-field approach to brittle fracture
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.088605Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 755e81b3-0022-4a52-a604-f457281f7e45 · outbound
This paper cites Fracture and healing of elastomers: A phase-transition theory and numerical implementation.
On the effects of material strength in dynamic fracture: A phase-field study Fracture and healing of elastomers: A phase-transition theory and numerical implementation
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.072663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0ebe440a-3874-45b2-b67f-100b48a15894 · outbound
This paper cites The strength of the Brazilian fracture test.
On the effects of material strength in dynamic fracture: A phase-field study The strength of the Brazilian fracture test
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.055576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 12a195de-a398-4320-becf-2f9dc88a6762 · outbound
This paper cites The phase-field approach to self-healable fracture of elastomers: A model accounting for fracture nucleation at large, with application to a class of conspicuous experiments.
On the effects of material strength in dynamic fracture: A phase-field study The phase-field approach to self-healable fracture of elastomers: A model accounting for fracture nucleation at large, with application to a class of conspicuous experiments
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.038576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a0f303c2-00af-4560-a9c7-c958f02b6df4 · outbound
This paper cites The poker-chip experiments of Gent and Lindley (1959) explained.
On the effects of material strength in dynamic fracture: A phase-field study The poker-chip experiments of Gent and Lindley (1959) explained
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.021244Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7306987e-cc40-4f64-b119-05afd2097115 · outbound
This paper cites The configurational-forces view of fracture and healing in elastomers as a phase transition.
On the effects of material strength in dynamic fracture: A phase-field study The configurational-forces view of fracture and healing in elastomers as a phase transition
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:20.001018Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b6044ee0-9c5c-4b8c-bd7c-e5c7c1cbd250 · outbound
This paper cites The revisited phase-field approach to brittle fracture: Application to indentation and notch problems.
On the effects of material strength in dynamic fracture: A phase-field study The revisited phase-field approach to brittle fracture: Application to indentation and notch problems
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.981823Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 36de304f-cb32-489e-8ffc-e5d313c0d665 · outbound
This paper cites A variational formulation of Griffith phase-field fracture with material strength.
On the effects of material strength in dynamic fracture: A phase-field study A variational formulation of Griffith phase-field fracture with material strength
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.962690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 92607659-dfd0-43ad-8ed0-b51c344d841c · outbound
This paper cites Existence of solutions to a regularized model of dynamic fracture.
On the effects of material strength in dynamic fracture: A phase-field study Existence of solutions to a regularized model of dynamic fracture
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.941070Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6b765555-0826-454b-9ebb-a957f404bfd2 · outbound
This paper cites Classical variational phase-field models cannot predict fracture nucleation.
On the effects of material strength in dynamic fracture: A phase-field study Classical variational phase-field models cannot predict fracture nucleation
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.923846Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9526cb1c-d24f-4ff0-9395-f2a743490c28 · outbound
This paper cites Convergence of a gradient damage model toward a cohesive zone model.
On the effects of material strength in dynamic fracture: A phase-field study Convergence of a gradient damage model toward a cohesive zone model
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.906728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d2bd6eac-9a81-43de-87ba-971235ca3bff · outbound
This paper cites Evaluation of variational phase-field models for dynamic brittle fracture.
On the effects of material strength in dynamic fracture: A phase-field study Evaluation of variational phase-field models for dynamic brittle fracture
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.889374Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3ab21da3-e208-44e0-8edb-c4e341159923 · outbound
This paper cites On validating peridynamic models and a phase-field model for dynamic brittle fracture in glass.
On the effects of material strength in dynamic fracture: A phase-field study On validating peridynamic models and a phase-field model for dynamic brittle fracture in glass
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.871914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d6efc5c4-0160-44b1-bbaa-d7edfdca283a · outbound
This paper cites Uncovering the dynamic fracture behavior of pmma with peridynamics: 23 The importance of softening at the crack tip.
On the effects of material strength in dynamic fracture: A phase-field study Uncovering the dynamic fracture behavior of pmma with peridynamics: 23 The importance of softening at the crack tip
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.854801Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3b193244-5929-4c63-ae64-802268544e62 · outbound
This paper cites A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits.
On the effects of material strength in dynamic fracture: A phase-field study A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.837359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2db2038d-4805-4464-816d-186e243059ac · outbound
This paper cites Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field fe implementations.
On the effects of material strength in dynamic fracture: A phase-field study Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field fe implementations
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.820048Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 01793852-11e9-4969-90c2-a8bdc375ce48 · outbound
This paper cites MOOSE: Enabling massively parallel multiphysics simulation.
On the effects of material strength in dynamic fracture: A phase-field study MOOSE: Enabling massively parallel multiphysics simulation
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.801751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ccb8fdcd-b88f-4280-9d87-c136486c7d47 · outbound
This paper cites Fracture criteria of reactor graphite under multiaxial stesses.
On the effects of material strength in dynamic fracture: A phase-field study Fracture criteria of reactor graphite under multiaxial stesses
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.783306Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8e78fd28-5182-4193-85e7-cbe78f159e83 · outbound
This paper cites Eigenfracture: An eigendeformation approach to variational fracture.
On the effects of material strength in dynamic fracture: A phase-field study Eigenfracture: An eigendeformation approach to variational fracture
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.764092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1d0e013f-c2a2-482e-9f78-ab11d8c0d077 · outbound
This paper cites Reformulation of elasticity theory for discontinuities and long-range forces.
On the effects of material strength in dynamic fracture: A phase-field study Reformulation of elasticity theory for discontinuities and long-range forces
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.746134Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7ecc67d0-177a-403d-8a17-a2fa0335f49f · outbound
This paper cites Dynamic fracture of soda-lime glass: A full-field optical investigation of crack initiation, propagation and branching.
On the effects of material strength in dynamic fracture: A phase-field study Dynamic fracture of soda-lime glass: A full-field optical investigation of crack initiation, propagation and branching
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.726227Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d1b8c1ac-23e3-4d0a-b3b8-926fd8debecb · outbound
This paper cites an unresolved cited work.
On the effects of material strength in dynamic fracture: A phase-field study Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:16:19.709001Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 523bf38c-5757-420a-b5d0-03107c70f55f · outbound
This paper cites Determination of Dynamic Tensile Strength of Microwave-Induced Basalt Using Brazilian Test.
On the effects of material strength in dynamic fracture: A phase-field study Determination of Dynamic Tensile Strength of Microwave-Induced Basalt Using Brazilian Test
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:16:19.692820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
Observation 2d3eff8f-1847-4a01-adaa-e46f468a0080 · inbound
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces cites this paper.
On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces On the effects of material strength in dynamic fracture: A phase-field study
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:00:54.424824Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d34fb7e-02c9-49eb-b299-1bda759ae865 · inbound
A comparison of phase field models of brittle fracture incorporating strength: I -- Mixed-mode loading cites this paper.
A comparison of phase field models of brittle fracture incorporating strength: I -- Mixed-mode loading On the effects of material strength in dynamic fracture: A phase-field study
Reference 53
- Resolution
- verified exact
- local_arxiv, observed 2026-08-08T22:38:32.117658Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2e2766a6-7b1e-4f07-94be-a3594d41e643 · inbound
Dynamic phase-field model for brittle fracture in grounded glaciers cites this paper.
Dynamic phase-field model for brittle fracture in grounded glaciers On the effects of material strength in dynamic fracture: A phase-field study
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:23:21.234751Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.