Geometrically non‐linear method of incompatible modes in application to finite elasticity with independent rotations
- 30 December 1993
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 36 (24) , 4185-4200
- https://doi.org/10.1002/nme.1620362406
Abstract
We discuss a geometrically non‐linear method of incompatible modes. The model problem chosen for the discussion is the finite elasticity with independent rotations. The conditions which ensure the convergence of the method and the methodology to construct incompatible modes are presented. A detailed derivation of variational equations and their linearized form is given for a two‐dimensional plane problem. A couple of geometrically non‐linear two‐dimensional elements with independent rotational freedoms are proposed based on the presented methodology. The elements exhibit a very satisfying performance over a set of problems in finite elasticity.Keywords
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