On the stabililty of mixed finite elements in large strain analysis of incompressible solids

On the stabililty of mixed finite elements in large strain analysis of incompressible solids

Some mixed finite elements for large deformation analysis of incompressible solids are studied. The elements are based on the displacement/pressure and enhanced strain mixed formulations. Specifically, it is shown that a quadrilateral 4-node element that satisfies the inf-sup condition in linear ana...

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Veröffentlicht in:Finite elements in analysis and design 1997-12, Vol.28 (2), p.83-104
Hauptverfasser: Bathe, K-J, Pantuso, D
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Pantuso, D
description Some mixed finite elements for large deformation analysis of incompressible solids are studied. The elements are based on the displacement/pressure and enhanced strain mixed formulations. Specifically, it is shown that a quadrilateral 4-node element that satisfies the inf-sup condition in linear analysis, and hence is an effective element in such conditions, fails in large strain analysis. The reasons for this element behavior are explored. Some comparisons of element predictive capabilities are given.
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title On the stabililty of mixed finite elements in large strain analysis of incompressible solids
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