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A lattice spring model of heterogeneous materials with plasticity
Abstract
A three-dimensional lattice spring model of a heterogeneous material is presented. For small deformations, the model is shown to recover the governing equations for an isotropic elastic medium. The model gives reasonable agreement with theoretical predictions for the elastic fields generated by a spherical inclusion, although for small particle sizes the discretization of the underlying lattice causes some departures from the predicted values. Plasticity is introduced by decreasing the elastic moduli locally whilst maintaining stress continuity. Results are presented for a spherical inclusion in a plastic matrix and are found to be in good agreement with the predictions of Wilner (1988 J. Mech. Phys. Solids 36 141-65).
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Citations
Cited by
Lattice-Boltzmann method for complex flows
Aidun, C. K., & Clausen, J. R. (2010) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-121108-145519 · Cited by 1,991
A 3D distinct lattice spring model for elasticity and dynamic failure
Zhao, G., Fang, J., & Zhao, J. (2011) · International Journal for Numerical and Analytical Methods in Geomechanics · doi:10.1002/nag.930 · Cited by 321
Metadata
- Authors
- Buxton, G. A., Care, C. M., & Cleaver, D. J.
- Venue
- Modelling and Simulation in Materials Science and Engineering
- Publisher
- IOP Publishing
- Published
- 2001-10-02
- Volume
- 9
- Issue
- 6
- Pages
- 485-497
- ISSN
- 0965-0393 (ISSN-L)
- 1361-651X
- OpenAlex
- W2146348585
- Cited by
- 174
- References
- 0
- FWCI
- 5.01
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A lattice spring model of heterogeneous materials with plasticity. https://app.cochat.ai/papers/10.1088/0965-0393/9/6/302
- The paper
- Buxton, G. A., Care, C. M., & Cleaver, D. J. (2001). A lattice spring model of heterogeneous materials with plasticity. Modelling and Simulation in Materials Science and Engineering. https://doi.org/10.1088/0965-0393/9/6/302
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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.
