D. Pantuso et Kj. Bathe, ON THE STABILITY OF MIXED FINITE-ELEMENTS IN LARGE-STRAIN ANALYSIS OFINCOMPRESSIBLE SOLIDS, Finite elements in analysis and design, 28(2), 1997, pp. 83-104
Some mixed finite elements for large deformation analysis of incompres
sible solids are studied. The elements are based on the displacement/p
ressure and enhanced strain mixed formulations. Specifically, it is sh
own that a quadrilateral 4-node element that satisfies the inf-sup con
dition in linear analysis - and hence is an effective element in such
conditions - fails in large strain analysis. The reasons for this elem
ent behavior are explored. Some comparisons of element predictive capa
bilities are given. (C) 1997 Elsevier Science B.V.