Finite element formulations for 3d convex polyhedra in nonlinear continuum mechanics

Kraus M, Steinmann P (2012)

Publication Language: English

Publication Type: Journal article

Publication year: 2012

Journal

International Journal of Computational Methods in Engineering Science and Mechanics Taylor & Francis

Publisher: Taylor & Francis

Book Volume: 19

Pages Range: 121-134

Journal Issue: 2

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.

Authors with CRIS profile

Markus Kraus Lehrstuhl für Technische Mechanik (LTM) Paul Steinmann Lehrstuhl für Technische Mechanik (LTM)

How to cite

APA:

Kraus, M., & Steinmann, P. (2012). Finite element formulations for 3d convex polyhedra in nonlinear continuum mechanics. International Journal of Computational Methods in Engineering Science and Mechanics, 19(2), 121-134.

MLA:

Kraus, Markus, and Paul Steinmann. "Finite element formulations for 3d convex polyhedra in nonlinear continuum mechanics." International Journal of Computational Methods in Engineering Science and Mechanics 19.2 (2012): 121-134.

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