The DOI matches its Crossref record; 42 of the 42 references it cites were found in a registry or an index.
Peridynamics review
Open accessAbstract
Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in 2000. The roots of PD can be traced back to the early works of Gabrio Piola according to dell’Isola et al. PD has been attractive to researchers as it is a non-local formulation in an integral form, unlike the local differential form of classical continuum mechanics. Although the method is still in its infancy, the literature on PD is fairly rich and extensive. The prolific growth in PD applications has led to a tremendous number of contributions in various disciplines. This manuscript aims to provide a concise description of the PD theory together with a review of its major applications and related studies in different fields to date. Moreover, we succinctly highlight some lines of research that are yet to be investigated.
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
Yielding of steel sheets containing slits
Dugdale, D. S. (1960) · Journal of the Mechanics and Physics of Solids · doi:10.1016/0022-5096(60)90013-2 · Cited by 7,766
A finite element method for crack growth without remeshing
Mo�s, N., Dolbow, J., & Belytschko, T. (1999) · International Journal for Numerical Methods in Engineering · doi:10.1002/(sici)1097-0207(19990910)46:1<131::aid-nme726>3.0.co;2-j · Cited by 6,446
The Mathematical Theory of Equilibrium Cracks in Brittle Fracture
Barenblatt, G. I. (1962) · Advances in Applied Mechanics · doi:10.1016/s0065-2156(08)70121-2 · Cited by 5,277
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
A Continuum Model for Void Nucleation by Inclusion Debonding
Needleman, A. (1987) · Journal of Applied Mechanics · doi:10.1115/1.3173064 · Cited by 2,168
Barenblatt, G. I. (1959) · Journal of Applied Mathematics and Mechanics · doi:10.1016/0021-8928(59)90157-1 · Cited by 1,339
Alfano, G., & Crisfield, M. A. (2001) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.93 · Cited by 1,224
Park, K., & Paulino, G. H. (2011) · Applied Mechanics Reviews · doi:10.1115/1.4023110 · Cited by 795
A computational library for multiscale modeling of material failure
Talebi, H., Silani, M., Bordas, S. P. A., Kerfriden, P., & Rabczuk, T. (2014) · Computational Mechanics · doi:10.1007/s00466-013-0948-2 · Cited by 558
Metadata
- Authors
- Javili, A., Morasata, R., Oterkus, E., & Oterkus, S.
- Venue
- Mathematics and Mechanics of Solids
- Publisher
- SAGE Publications
- Published
- 2018-10-11
- Volume
- 24
- Issue
- 11
- Pages
- 3714-3739
- ISSN
- 1081-2865 (ISSN-L)
- 1741-3028
- OpenAlex
- W4211061766
- Cited by
- 312
- References
- 42
- FWCI
- 15.08
- 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: Peridynamics review. https://app.cochat.ai/papers/10.1177/1081286518803411
- The paper
- Javili, A., Morasata, R., Oterkus, E., & Oterkus, S. (2019). Peridynamics review. Mathematics and Mechanics of Solids. https://doi.org/10.1177/1081286518803411
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.
