Lessons for incompressible and near-incompressible elasticity drawn from the driven cavity flow problem

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Abstract

A range of low order elements are applied to the driven cavity flow problem. These include pure displacement elements, mixed pressure-displacement and enhanced strain elements, with the latter sometimes being combined with mixed pressure-displacement formulations. The problem is analysed in two ways; first using Chapelle and Bathe's numerical implementation of the 'inf-sup test' and secondly via a direct numerical analysis with increasing bulk modulus. As a result of these two sets of tests, insights are gained into the potential performance of these elements for the general incompressible (or nearly incompressible) elasticity and elasto-plasticity problems.

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Crisfield, M. A., & Norris, V. C. (2000). Lessons for incompressible and near-incompressible elasticity drawn from the driven cavity flow problem. Computers and Structures, 75(5), 529–538. https://doi.org/10.1016/S0045-7949(99)00101-7

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