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The Implementation of Ogden Material Model using Invariants of Strains and the Assessment of its Numerical Convergence
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- TANAKA Masato
- 慶應義塾大学大学院理工学研究科
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- NOGUCHI Hirohisa
- 慶應義塾大学理工学部
Bibliographic Information
- Other Title
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- 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.
Journal
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- Transactions of the Japan Society for Computational Engineering and Science
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Transactions of the Japan Society for Computational Engineering and Science 2007 (0), 20070008-20070008, 2007
JAPAN SOCIETY FOR COMPUTATIONAL ENGINEERING AND SCIENCE
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Details 詳細情報について
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- CRID
- 1390569944002456192
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- NII Article ID
- 130008056250
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- ISSN
- 13478826
- 13449443
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- Text Lang
- ja
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- Data Source
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- JaLC
- CiNii Articles
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- Abstract License Flag
- Disallowed