Professor William Coombs w.m.coombs@durham.ac.uk
Professor
Observations on Mohr-Coulomb plasticity under plane strain
Coombs, W.M.; Crouch, R.S.; Heaney, C.E.
Authors
R.S. Crouch
C.E. Heaney
Abstract
Linear elastic-perfect plasticity using the Mohr-Coulomb yield surface is one of the most widely used pressure-sensitive constitutive models in engineering practice. In the area of geotechnical engineering a number of problems, such as cavity expansion, embankment stability and footing bearing capacity, can be examined using this model together with the simplifying assumption of plane-strain. This paper clarifies the situation regarding the direction of the intermediate principal stress in such an analysis and reveals a unique relationship between hydrostatic pressure and the principal stress ratio for Mohr-Coulomb and Tresca perfect plasticity under those plane-strain conditions. The rational relationship and direction of the intermediate principal stress are illustrated through both material point and finite-element simulations. The latter involves the analysis of a rigid strip footing bearing onto a weightless soil and the finite deformation expansion of a cylindrical cavity.
Citation
Coombs, W., Crouch, R., & Heaney, C. (2013). Observations on Mohr-Coulomb plasticity under plane strain. Journal of Engineering Mechanics, 139(9), 1218-1228. https://doi.org/10.1061/%28asce%29em.1943-7889.0000568
Journal Article Type | Article |
---|---|
Publication Date | 2013 |
Deposit Date | Sep 13, 2011 |
Publicly Available Date | Aug 30, 2013 |
Journal | Journal of Engineering Mechanics |
Print ISSN | 0733-9399 |
Electronic ISSN | 1943-7889 |
Publisher | American Society of Civil Engineers |
Peer Reviewed | Peer Reviewed |
Volume | 139 |
Issue | 9 |
Pages | 1218-1228 |
DOI | https://doi.org/10.1061/%28asce%29em.1943-7889.0000568 |
Keywords | Intermediate principal stress, Mohr-Coulomb, Tresca, Elasto-plasticity, Plane-strain analysis, Geomaterials. |
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