Frictional slip plane growth by localization detection and the extended finite element method (XFEM) |
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| Authors: | Scott E Sanborn Jean H Prévost |
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| Institution: | Department of Civil and Environmental Engineering, Princeton University, Princeton, NJ, U.S.A. |
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| 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. |
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| Keywords: | strong discontinuity slip plane frictional soil XFEM penalty method |
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