Associated computational plasticity schemes for nonassociated frictional materials

Krabbenhoft, K. and Karim, M.R. and Lyamin, A.V. and Sloan, S.W. (2012) Associated computational plasticity schemes for nonassociated frictional materials. International Journal for Numerical Methods in Engineering, 90 (9). pp. 1089-1117. ISSN 0029-5981, DOI https://doi.org/10.1002/Nme.3358.

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Abstract

A new methodology for computational plasticity of nonassociated frictional materials is presented. The new approach is inspired by the micromechanical origins of friction and results in a set of governing equations similar to those of standard associated plasticity. As such, procedures previously developed for associated plasticity are applicable with minor modification. This is illustrated by adaptation of the standard implicit scheme. Moreover, the governing equations can be cast in terms of a variational principle, which after discretization is solved by means of a newly developed second-order cone programming algorithm. The effects of nonassociativity are discussed with reference to localization of deformations and illustrated by means of a comprehensive set of examples.

Item Type: Article
Funders: UNSPECIFIED
Additional Information: 942XZ Times Cited:6 Cited References Count:49
Uncontrolled Keywords: Friction, Mathematical programming, Nonassociated flow, Plasticity, Soil, Discretizations, Frictional materials, Governing equations, Implicit schemes, Localization of deformation, Micro-mechanical, Nonassociativity, Second-order cone programming, Variational principles, Soils, Variational techniques
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Faculty of Engineering
Depositing User: Mr Jenal S
Date Deposited: 03 Jan 2014 02:47
Last Modified: 03 Jan 2014 02:47
URI: http://eprints.um.edu.my/id/eprint/8788

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