First and Second Complex-step Derivative Approximation of Strain Energy Function and its application to Hyperelastic Model

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Other Title
  • 複素数階微分によるひずみエネルギ関数の１階・２階微分と超弾性モデルへの適用

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Description

Numerical approximation techniques of stress and consistent tangent moduli using complex-step derivative approximation (CSDA) are presented, and its applications to nonlinear hyperelastic models are demonstrated. The stress calculated by this technique does not suffer from inherent subtractive cancellations that limit the accuracy of finite difference approximations, such as the forward Euler method and so on. Therefore, the accuracy of output has as same as analytical one. In addition, once the proposed approximation method is coded in a subroutine, it can be used for other hyperelastic material models with no modification. The implementation and the accuracy of this approach are first demonstrated with a simple Mooney-Rivlin model. Subsequently, an anisotropic hyperelastic material model is applied to analyze the simple tensile test.

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Details 詳細情報について

  • CRID
    1390006994048655360
  • NII Article ID
    130008056305
  • DOI
    10.11421/jsces.2011.20110009
  • ISSN
    13478826
    13449443
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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