Reuleaux plasticity: improving Mohr-Coulomb and Drucker-Prager

Coombs, W.M.; Crouch, R.S.

Abstract

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.

Citation

Coombs, W., & Crouch, R. (2011, September). Reuleaux plasticity: improving Mohr-Coulomb and Drucker-Prager. Presented at Geotechnical Engineering: New Horizons. Proceedings of the 21st European Young Geotechnical Engineers' Conference, Rotterdam, the Netherlands

• Presentation Conference Type: Conference Paper (published)
• Conference Name: Geotechnical Engineering: New Horizons. Proceedings of the 21st European Young Geotechnical Engineers' Conference
• Publication Date: Sep 1, 2011
• Deposit Date: Sep 13, 2011
• Publicly Available Date: Nov 27, 2015
• Publisher: IOS Press
• Pages: 241-247
• Book Title: Geotechnical engineering : new horizons, 21st European Young Geotechnical Engineers' Conference, 2011, Rotterdam ; proceedings.
• ISBN: 9781607508076
• DOI: https://doi.org/10.3233/978-1-60750-808-3-241
• Keywords: Geomaterials, Computational plasticity, Analytical stress return, Mohr-Coulomb, Drucker-Prager
• Public URL: https://durham-repository.worktribe.com/output/1158468