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Reuleaux plasticity : improving Mohr-Coulomb and Drucker-Prager.

Coombs, W.M. and Crouch, R.S. (2011) 'Reuleaux plasticity : improving Mohr-Coulomb and Drucker-Prager.', in Geotechnical engineering : new horizons, 21st European Young Geotechnical Engineers' Conference, 2011, Rotterdam ; proceedings. Amsterdam: IOS Press, pp. 241-247.


The yielding of soil exhibits both a Lode angle dependency and a dependency on the intermediate principal stress. Ignoring these leads to a loss of realism in geotechnical analysis, yet neither of the widely used Mohr-Coulomb (M-C) or Drucker-Prager (D-P) models include both. This paper presents a simple pressure-dependent plasticity model based on a modified Reuleaux (mR) triangle which overcomes these limitations and yet (like the M-C and D-P formulations) allows for an analytical backward-Euler stress integration solution scheme. This latter feature is not found in more sophisticated (and computationally expensive) models. The mR deviatoric function is shown to provide a significantly improved fit to experimental data when compared with the M-C and D-P functions. Finite deformation finite-element analysis of the expansion of a cylindrical cavity is presented, verifying the use of the mR constitutive model for practical analyses.

Item Type:Book chapter
Keywords:Geomaterials, Computational plasticity, Analytical stress return, Mohr-Coulomb, Drucker-Prager
Full text:(AM) Accepted Manuscript
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Date accepted:No date available
Date deposited:27 November 2015
Date of first online publication:September 2011
Date first made open access:No date available

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