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 |
Keywords:
three-node triangles; Babuška-Brezzi condition; patch test; large deformation; composite triangular elements; four-node quadrilateralsReferences:
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