T. Cowan
Rotationally invariant distortion resistant finite-elements
Cowan, T.; Coombs, W.M.
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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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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