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

  • Markus Kraus
  • Paul Steinmann

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.

Keywords

nonlinear finite elements, polyhedral elements, 3D interpolation, finite elasticity,

References

Published
Jan 25, 2017
How to Cite
KRAUS, Markus; STEINMANN, Paul. Finite element formulations for 3D convex polyhedra in nonlinear continuum mechanics. Computer Assisted Methods in Engineering and Science, [S.l.], v. 19, n. 2, p. 121-134, jan. 2017. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/96>. Date accessed: 02 apr. 2025.
Citation Formats
Issue
Vol 19 No 2 (2012)
Section
Articles