Finite element analysis of finite strain micromorphic Drucker-Prager plasticity
Pages 31 - 43
Abstract
A new Drucker-Prager-like plasticity formulation accounting for length scale and additional micro degrees of freedom (MDOF).A semi-implicit numerical algorithm for finite strain plasticity analysis of micromorphic materials.The important effect of micro-scale parameters on the stress state.The consistent linearization of a 3D finite strain elastoplastic micromorphic continuum FE model. Earlier, Isbuga and Regueiro (2011) and Regueiro and Isbuga (2011) presented three dimensional finite element analysis of finite strain micromorphic isotropic elasticity based on the approach of Eringen and Suhubi (1964). We present the extension of this work to plasticity, following the formulation of Regueiro (2009, 2010) and Isbuga (2012). We assume the existence of an intermediate configuration and apply the separate multiplicative decomposition of the deformation gradient tensor and the micro-deformation tensor. In this paper, we investigate the effect of elastic length scale together with the boundary layer effect on micro-displacement tensor field for uniaxial strain and plane strain conditions, involving elastoplasticity with a Drucker-Prager yield function. We emphasize the importance of the additional degrees of freedom introduced by the micromorphic continuum formulation.
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- Finite element analysis of finite strain micromorphic Drucker-Prager plasticity
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Published: 01 December 2017
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