Finite cover method with mortar elements for elastoplasticity problems

M. Kurumatani, K. Terada

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)45-61
Number of pages17
JournalComputational Mechanics
Volume36
Issue number1
DOIs
Publication statusPublished - 2005 Jun

Keywords

  • Elastoplasticity
  • Finite cover method
  • Generalized elements
  • Meshfree analysis
  • Mortar elements

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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