Finite element formulations for 3D convex polyhedral in nonlinear continuum mechanics

Kraus, M. and Steinmann, P. (2017) Finite element formulations for 3D convex polyhedral in nonlinear continuum mechanics. Computer Assisted Mechanics and Engineering Sciences, 19(2), pp. 121-134.

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Publisher's URL: https://cames.ippt.pan.pl/index.php/cames/article/view/96

Abstract

In this paper, we present finite element formulations for general three-dimensional convex polyhedra for use in a common finite element framework that are well suited, e.g., for modeling complex granular materials and for mesh refinements. Based on an universally applicable interpolant for any convex polyhedron, different interpolation schemes are investigated in the context of nonlinear elastostatics. The modeling benefits and the numerical performance regarding the mechanical response and the computational cost are analyzed by several examples.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Kraus, M., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computer Assisted Mechanics and Engineering Sciences
Publisher:Central European Association for Computational Mechanics
ISSN:1232-308X
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