Some reflections on the Mori-Tanaka and Ponte Castañeda-Willis methods with randomly oriented ellipsoidal inclusions (Q1568145)
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scientific article; zbMATH DE number 1462382
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some reflections on the Mori-Tanaka and Ponte Castañeda-Willis methods with randomly oriented ellipsoidal inclusions |
scientific article; zbMATH DE number 1462382 |
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Some reflections on the Mori-Tanaka and Ponte Castañeda-Willis methods with randomly oriented ellipsoidal inclusions (English)
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18 May 2002
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The authors determine effective elastic properties of randomly oriented ellipsoidal inclusions basing on a formula derived by \textit{P. Ponte Castañeda} and \textit{J. R. Willis} [J. Mech. Phys. Solids 43, No. 12, 1919-1951 (1995; Zbl 0919.73061)]. In the latter formula the authors replace a summation of the terms due to inclusions by an orientational average.
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effective elastic moduli
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self-consistent method
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Mori-Tanaka method
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Ponte Castañeda-Willis formula
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randomly oriented ellipsoidal inclusions
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orientational average
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0.82675123
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0.82325417
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0.8187064
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0.80852836
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0.80817753
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0.8069917
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0.80684304
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0.8059498
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