Abstract
We consider the finite elasticity problem for incompressible materials, proposing a simple bidimensional problem for which we provide indications on the solution stability. Furthermore, we study the stability of the discrete solution, obtained by means of some well-known finite elements, and we present several numerical experiments in order to evaluate and compare the performance of the different discrete schemes under investigation on the considered model problem.
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Auricchio, F., da Veiga, L.B., Lovadina, C., Reali, A. (2009). Stability of Some Finite Element Methods for Finite Elasticity Problems. In: Carstensen, C., Wriggers, P. (eds) Mixed Finite Element Technologies. CISM International Centre for Mechanical Sciences, vol 509. Springer, Vienna. https://doi.org/10.1007/978-3-211-99094-0_6
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DOI: https://doi.org/10.1007/978-3-211-99094-0_6
Publisher Name: Springer, Vienna
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