Cowan, T. and Coombs, W. M. (2014) 'Rotationally invariant distortion resistant finite-elements.', Computer methods in applied mechanics and engineering., 275 . pp. 189-203.
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.
|Keywords:||Finite-elements, Mesh distortion, Geometric non-linearity, Elasto-plasticity, Shape functions.|
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||http://dx.doi.org/10.1016/j.cma.2014.02.016|
|Publisher 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.|
|Date accepted:||No date available|
|Date deposited:||13 May 2014|
|Date of first online publication:||June 2014|
|Date first made open access:||No date available|
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