We consider the finite elasticity problem for incompressible materials, proposing a simple bidimensional problem for which we provide an indication on the solution stability. Furthermore, we study the stability of discrete solutions, obtained by means of some well-known mixed finite elements, and we present several numerical experiments.
A stability study of some mixed finite elements for large deformation elasticity problems / F. Auricchio, L. Beirão da Veiga, C. Lovadina, A. Reali. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 194:9-11(2005), pp. 1075-1092.
A stability study of some mixed finite elements for large deformation elasticity problems
L. Beirão da VeigaSecondo
;C. Lovadina;
2005
Abstract
We consider the finite elasticity problem for incompressible materials, proposing a simple bidimensional problem for which we provide an indication on the solution stability. Furthermore, we study the stability of discrete solutions, obtained by means of some well-known mixed finite elements, and we present several numerical experiments.
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