Lagrangian Meshfree Formulation for Analysis of Geotechnical Materials
Publication: Journal of Engineering Mechanics
Volume 127, Issue 5
Abstract
A Lagrangian reproducing kernel formulation is introduced as an approximation of field variables under the Galerkin meshfree framework of geomechanics. The reproducing kernel approximation is formulated with reference to the material coordinates, yielding an approach that is applicable to both total and updated Lagrangian formulations. In the method presented, geotechnical materials described by pressure-sensitive multisurface plasticity with a cap hardening rule are considered in the meshfree formulation. The solution obtained from the meshfree method with linear basis was compared to that of bilinear finite elements for elastoplastic analysis of geotechnical materials.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 127 • Issue 5 • May 2001
Pages: 440 - 449
History
Received: Apr 11, 2000
Published online: May 1, 2001
Published in print: May 2001
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