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Ogden-Roxburgh model : ウィキペディア英語版
Ogden-Roxburgh model
The Ogden-Roxburgh model is an approach which extends hyperelastic material models to allow for the Mullins effect. It is used in several commercial finite element codes.
The basis of pseudo-elastic material models is a hyperelastic second Piola–Kirchhoff stress \boldsymbol_0, which is derived from a suitable strain energy density function W(\boldsymbol):
:
\boldsymbol = 2 \frac_0. Upon unloading and reloading \boldsymbol_0 is multiplied by a positive softening function \eta. The function \eta thereby depends on the strain energy W(\boldsymbol) of the current load and its maximum W_(t) := \max\ in the history of the material:
:
\boldsymbol = \eta(W, W_) \boldsymbol_0, \quad \text \eta
\begin
= 1, \quad & W = W_,\\
< 1, & W < W_
\end \quad .

It was shown that this idea can also be used to extend arbitrary inelastic material models for softening effects.
== References ==

L. Mullins, Rubber Chemistry and Technology, 42, 339 (1969).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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