The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach
Open accessAbstract
Abstract A novel variational framework to model the fatigue behavior of brittle materials based on a phase-field approach to fracture is presented. The standard regularized free energy functional is modified introducing a fatigue degradation function that effectively reduces the fracture toughness as a proper history variable accumulates. This macroscopic approach allows to reproduce the main known features of fatigue crack growth in brittle materials. Numerical experiments show that the Wohler curve, the crack growth rate curve and the Paris law are naturally recovered, while the approximate Palmgren–Miner criterion and the monotonic loading condition are obtained as special cases.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
VI. The phenomena of rupture and flow in solids
Griffith, A. A. (1921) · Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character · doi:10.1098/rsta.1921.0006 · Cited by 11,052
A Critical Analysis of Crack Propagation Laws
Paris, P., & Erdogan, F. (1963) · Journal of Basic Engineering · doi:10.1115/1.3656900 · Cited by 7,122
Miner, M. A. (1945) · Journal of Applied Mechanics · doi:10.1115/1.4009458 · Cited by 6,374
Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate
Irwin, G. R. (1957) · Journal of Applied Mechanics · doi:10.1115/1.4011547 · Cited by 5,661
Suresh, S. (1998) · Cambridge University Press eBooks · doi:10.1017/cbo9780511806575 · Cited by 4,526
Revisiting brittle fracture as an energy minimization problem
Francfort, G. A., & Marigo, J.-J. (1998) · Journal of the Mechanics and Physics of Solids · doi:10.1016/s0022-5096(98)00034-9 · Cited by 3,530
Miehe, C., Welschinger, F., & Hofacker, M. (2010) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.2861 · Cited by 2,942
Fatigue crack closure under cyclic tension
Elber, W. (1970) · Engineering Fracture Mechanics · doi:10.1016/0013-7944(70)90028-7 · Cited by 2,116
Amor, H., Marigo, J.-J., & Maurini, C. (2009) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2009.04.011 · Cited by 1,662
The Stress Analysis of Cracks Handbook, Third Edition
Tada, H., Paris, P. C., & Irwin, G. R. (2000) · ASME Press eBooks · doi:10.1115/1.801535 · Cited by 1,530
Metadata
- Authors
- Carrara, P., Ambati, M., Alessi, R., & De Lorenzis, L.
- Venue
- Computer Methods in Applied Mechanics and Engineering
- Publisher
- Elsevier BV
- Published
- 2020-04
- Volume
- 361
- Pages
- 112731
- ISSN
- 0045-7825 (ISSN-L)
- OpenAlex
- W2899766161
- Cited by
- 404
- References
- 19
- FWCI
- 15.74
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach. https://app.cochat.ai/papers/10.1016/j.cma.2019.112731
- The paper
- Carrara, P., Ambati, M., Alessi, R., & De Lorenzis, L. (2020). A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2019.112731
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.