Numerical studies of hyperplasticity with single, multiple and a continuous field of yield surfaces

✍ Scribed by Itai Einav; Alexander M. Puzrin; Guy T. Houlsby

• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 352 KB
• Volume: 27
• Category: Article
• ISSN: 0363-9061
• DOI: 10.1002/nag.303

✦ Synopsis

Abstract

The development of a new constitutive model would normally require a new procedure to be established for derivation of the incremental response. However, for models generated within the framework of hyperplasticity (using single, multiple or continuous yield surfaces), this derivation can be carried out using standard procedures. In this paper we present first the unified incremental response for a model using a single internal variable for general loading conditions. Next, we develop and explore three different numerical techniques for implementation of this procedure. One of the approaches, which seems superior, is extended to the multi‐surface hyperplastic formulation. Finally, to allow integration of continuous hyperplastic models within the same multi‐surface hyperplastic setting, the issue of discretization of the continuous field of yield surfaces is addressed. Copyright © 2003 John Wiley & Sons, Ltd.