Uniform Strain Elements for Three-Node Triangular and Four-Node Tetrahedral Meshes
- Sandia National Laboratories
A family of uniform strain elements is presented for three-node triangular and four-node tetrahedral meshes. The elements use the linear interpolation functions of the original mesh, but each element is associated with a single node. As a result, a favorable constraint ratio for the volumetric response is obtained for problems in solid mechanics. The uniform strain elements do not require the introduction of additional degrees of freedom and their performance is shown to be significantly better than that of three-node triangular or four-node tetrahedral elements. In addition, nodes inside the boundary of the mesh are observed to exhibit superconvergent behavior for a set of example problems.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (US); Sandia National Labs., Livermore, CA (US)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 4174
- Report Number(s):
- SAND99-0505J
- Journal Information:
- International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering
- Country of Publication:
- United States
- Language:
- English
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