Frictional slip plane growth by localization detection and the extended finite element method (XFEM)

✍ Scribed by Scott E. Sanborn; Jean H. Prévost

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 710 KB
• Volume: 35
• Category: Article
• ISSN: 0363-9061
• DOI: 10.1002/nag.958

✦ Synopsis

Abstract

This paper is concerned with developing a numerical tool for detecting instabilities in elasto‐plastic solids (with an emphasis on soils) and inserting a discontinuity at these instabilities allowing the boundary value problem to proceed beyond these instabilities. This consists of implementing an algorithm for detection of strong discontinuities within a finite element (FE) framework. These discontinuities are then inserted into the FE problem through the use of a displacement field enrichment technique called the extended finite element method (XFEM). The newly formed discontinuities are governed by a Mohr–Coulomb frictional law that is enforced by a penalty method. This implementation within an FE framework is then tested on a compressive soil block and a soil slope where the discontinuity is inserted and grown according to the localization detection. Copyright © 2010 John Wiley & Sons, Ltd.