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Triangular composite finite elements. (English) Zbl 0985.74068
Summary: We study composite triangles consisting of four three-node triangles. It is shown that the original element does not satisfy the Babuška-Brezzi condition nor pass the patch test. We describe remedies for these shortcomings. It is shown that the resulting elements are very robust for large deformation problems. In addition, composite triangular elements generated from four-node quadrilaterals are briefly examined; their accuracy is found to be not as good as the composite triangles.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
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