The Implementation of Ogden Material Model using Invariants of Strains and the Assessment of its Numerical Convergence

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Other Title
  • ひずみの主不変量を用いたOgden材料モデルの実装と数値解の収束性の評価

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Description

In this paper, a numerical implementation of solid element and shell element with the Ogden material model is presented. This formulation derives the efficient constitutive law of Ogden material using invariants of the right Cauchy-Green tensor in the extension form of the Mooney-Rivlin's law, without solving eigenvalue problems or coordinate system transformations. This paper also validates the relationship between the present expression of the constitutive law and numerical stability. The convergence rates using the Newton-Raphson method are also illustrated through some numerical examples.

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Details 詳細情報について

  • CRID
    1390569944002456192
  • NII Article ID
    130008056250
  • DOI
    10.11421/jsces.2007.20070008
  • ISSN
    13478826
    13449443
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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