Adaptive Techniques for Localization Analysis

Steinmann, P. and Willam, K. (1992) Adaptive Techniques for Localization Analysis. In: Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, CA, USA, 8-13 November 1992, pp. 139-164. ISBN 0791811344

Abstract

In this paper we address the adaptive resolution of localized failure bands. To this end the theoretical framework of localization within the `classical' continuum theory is revisited and examples for the analysis of the localization tensor are presented. The prominent role of element design and orientation is demonstrated for a single element with the `Weak Localization Element Test', and at the structural level with the eigen-analysis of a flat steel bar. Next, the basic h-adaptivity strategy for capturing localization within BVP is examined. Finally, the crucial influence of mesh alignment is highlighted with two adaptive calculations of the non-uniform tension test of a flat specimen in plane stress.

• Item Type: Conference Proceedings
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Steinmann, Professor Paul
• Authors: Steinmann, P., and Willam, K.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: American Society of Mechanical Engineers, Applied Mechanics Division, AMD
• ISSN: 01608835
• ISBN: 0791811344