A Caltech Library Service

A variational constitutive model for porous metal plasticity

Weinberg, K. and Mota, A. and Ortiz, M. (2006) A variational constitutive model for porous metal plasticity. Computational Mechanics, 37 (2). pp. 142-152. ISSN 0178-7675.

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item:


This paper presents a variational formulation of viscoplastic constitutive updates for porous elastoplastic materials. The material model combines von Mises plasticity with volumetric plastic expansion as induced, e.g., by the growth of voids and defects in metals. The finite deformation theory is based on the multiplicative decomposition of the deformation gradient and an internal variable formulation of continuum thermodynamics. By the use of logarithmic and exponential mappings the stress update algorithms are extended from small strains to finite deformations. Thus the time-discretized version of the porous-viscoplastic constitutive updates is described in a fully variational manner. The range of behavior predicted by the model and the performance of the variational update are demonstrated by its application to the forced expansion and fragmentation of U-6%Nb rings.

Item Type:Article
Related URLs:
URLURL TypeDescription ReadCube access
Ortiz, M.0000-0001-5877-4824
Additional Information:© Springer-Verlag Berlin Heidelberg 2005. Received: 29 July 2004 / Accepted: 14 March 2005 / Published online: 6 July 2005 We are grateful for the financial support provided by the US Department of Energy through Caltech’s ASC Center for the Simulation of the Dynamic Response of Materials.
Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
Subject Keywords:Constitute; Finite deformation; Plasticity; Variational; Voids
Issue or Number:2
Record Number:CaltechAUTHORS:20171128-111130155
Persistent URL:
Official Citation:Weinberg, K., Mota, A. & Ortiz, M. Comput Mech (2006) 37: 142.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83514
Deposited By: Lydia Suarez
Deposited On:29 Nov 2017 00:41
Last Modified:04 Feb 2020 22:03

Repository Staff Only: item control page