Title: A sub-grid model for localisation in metals under high-rate loading: formulations and preliminary results

Authors: Q.H. Zuo, P.J. Maudlin

Addresses: Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA. ' Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

Abstract: A sub-grid model (or two-component element), which incorporates a thin localisation band within a continuum element, has been developed for strain localisation problems. The model has been implemented in a three-dimensional, explicit analysis code (EPIC). Formulations and some preliminary numerical results of a single element under shear and of a three-dimensional analysis of a plate are presented.

Keywords: sub-grid models; strain localisation; shear bands; ellipticity loss; model implementations; explicit codes; EPIC; metals; high-rate loading; two-component elements; ductile materials; thermal softening; flow stress.

DOI: 10.1504/IJTAMM.2009.029208

International Journal of Theoretical and Applied Multiscale Mechanics, 2009 Vol.1 No.2, pp.107 - 117

Published online: 10 Nov 2009 *

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