Finite cover method for linear and non-linear analyses of heterogeneous solids

Kenjiro Terada, Mitsuteru Asai, Michihiro Yamagishi

研究成果: Contribution to journalArticle査読

114 被引用数 (Scopus)

抄録

We introduce the finite cover method (FCM) as a generalization of the finite element method (FEM) and extend it to analyse the linear and non-linear mechanical behaviour of heterogeneous solids and structures. The name 'FCM' is actually an alias for the manifold method (MM) and the basic idea of the method has already been established for linear analyses of structures with homogeneous materials. After reviewing the concept of physical and mathematical covers for approximating functions in the FCM, we present the formulation for the static equilibrium state of a structure with arbitrary physical boundaries including material interfaces. The problem essentially involves the discontinuities in strains, and possibly has the discontinuities in displacement caused by interfacial debonding or rupture of material interfaces. We simulate such non-linear mechanical behaviour after presenting simple numerical examples that demonstrate the equivalence between the approximation capabilities of the FCM and those of the FEM.

本文言語英語
ページ(範囲)1321-1346
ページ数26
ジャーナルInternational Journal for Numerical Methods in Engineering
58
9
DOI
出版ステータス出版済み - 11 7 2003
外部発表はい

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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