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Rotationally invariant distortion resistant finite-elements

Cowan, T.; Coombs, W.M.

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Authors

T. Cowan



Abstract

The predictive capability of conventional iso-parametric finite-elements deteriorates with mesh distortion. In the case of geometrically non-linear analysis, changes in geometry causing severe distortion can result in negative Jacobian mapping between the local and global systems resulting in numerical breakdown. This paper presents a finite-element formulation that is resistant to irregular mesh geometries and large element distortions whilst remaining invariant to rigid body motion. The predictive capabilities of the family of finite-elements are demonstrated using a series of geometrically non-linear analyses including an elastic cantilever beam and an elasto-plastic double notched specimen.

Citation

Cowan, T., & Coombs, W. (2014). Rotationally invariant distortion resistant finite-elements. Computer Methods in Applied Mechanics and Engineering, 275, 189-203. https://doi.org/10.1016/j.cma.2014.02.016

Journal Article Type Article
Publication Date Jun 15, 2014
Deposit Date Apr 15, 2014
Publicly Available Date Mar 28, 2024
Journal Computer Methods in Applied Mechanics and Engineering
Print ISSN 0045-7825
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 275
Pages 189-203
DOI https://doi.org/10.1016/j.cma.2014.02.016
Keywords Finite-elements, Mesh distortion, Geometric non-linearity, Elasto-plasticity, Shape functions.

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Accepted Journal Article (556 Kb)
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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering, 275, 2014, 10.1016/j.cma.2014.02.016.




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