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Observations on Mohr-Coulomb plasticity under plane strain.

Coombs, W.M. and Crouch, R.S. and Heaney, C.E. (2013) 'Observations on Mohr-Coulomb plasticity under plane strain.', Journal of engineering mechanics., 139 (9). pp. 1218-1228.


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.

Item Type:Article
Keywords:Intermediate principal stress, Mohr-Coulomb, Tresca, Elasto-plasticity, Plane-strain analysis, Geomaterials.
Full text:(AM) Accepted Manuscript
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Date accepted:No date available
Date deposited:30 August 2013
Date of first online publication:September 2013
Date first made open access:No date available

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