Modified midpoint integration rule for the trilinear element in large deformation elasticity
Numerical Analysis
2018-04-23 v2
Abstract
In this paper we suggest two modified one-point Gauss integration rules for the Q1 bi- or trilinear element. The modifications both stabilize the hourglass modes of the one-point rule, and one of them is accurate also on severely distorted elements. We investigate the performance of the integration rules for the hexahedron element, and combine standard one-point integration of the volumetric terms with the modified rules for the isochoric terms to handle near incompressible situations.
Keywords
Cite
@article{arxiv.1803.00771,
title = {Modified midpoint integration rule for the trilinear element in large deformation elasticity},
author = {Mirza Cenanovic and Peter Hansbo and David Samvin},
journal= {arXiv preprint arXiv:1803.00771},
year = {2018}
}
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