S. Morganti1, F. Fahrendorf2, L. De Lorenzis3, J. A. Evans4, T. J. R. Hughes5,* and A. Reali6
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1125-1150, 2021, DOI:10.32604/cmes.2021.016832
Abstract We investigate primal and mixed u−p isogeometric collocation methods for application to nearly-incompressible
isotropic elasticity. The primal method employs Navier’s equations in terms of the displacement unknowns, and the
mixed method employs both displacement and pressure unknowns. As benchmarks for what might be considered
acceptable accuracy, we employ constant-pressure Abaqus finite elements that are widely used in engineering applications. As a basis of comparisons, we present results for compressible elasticity. All the methods were completely
satisfactory for the compressible case. However, results for low-degree primal methods exhibited displacement
locking and in general deteriorated in the nearly-incompressible case. The results for… More >
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