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- Title
Finite cover method with mortar elements for elastoplasticity problems.
- Authors
Kurumatani, M.; Terada, K.
- Abstract
Finite cover method (FCM) is extended to elastoplasticity problems. The FCM, which was originally developed under the name of manifold method, has recently been recognized as one of the generalized versions of finite element methods (FEM). Since the mesh for the FCM can be regular and squared regardless of the geometry of structures to be analyzed, structural analysts are released from a burdensome task of generating meshes conforming to physical boundaries. Numerical experiments are carried out to assess the performance of the FCM with such discretization in elastoplasticity problems. Particularly to achieve this accurately, the so-called mortar elements are introduced to impose displacement boundary conditions on the essential boundaries, and displacement compatibility conditions on material interfaces of two-phase materials or on joint surfaces between mutually incompatible meshes. The validity of the mortar approximation is also demonstrated in the elastic-plastic FCM.
- Subjects
ELASTOPLASTICITY; FINITE element method; ELASTICITY; MATERIAL plasticity; NUMERICAL analysis; MATHEMATICAL analysis
- Publication
Computational Mechanics, 2005, Vol 36, Issue 1, p45
- ISSN
0178-7675
- Publication type
Article
- DOI
10.1007/s00466-004-0641-6