自洽模型的经典割延与修正割延之间的相似性

Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-07-01 DOI:10.1016/S1620-7742(01)01362-9

Pierre Gilormini , Renald Brenner , Olivier Castelnau

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引用次数: 5

摘要

在各向同性不可压缩幂律相的各向同性混合物中，如果施加相同的宏观应变(或应力)，由自洽模型的经典和修正割线扩展所预测的应变(或应力场)的第一和第二矩是相同的。这直接证明了修改后的扩展确实预测了这种复合材料的更柔软的整体行为。

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A similarity between the classical and modified secant extensions of the self-consistent model

The first and second moments of the strain (or stress) fields predicted by the classical and modified secant extensions of the self-consistent model in isotropic mixtures of isotropic incompressible power-law phases are shown to be identical if the same macroscopic strain (or stress) is applied. This proves directly that the modified extension does predict a softer overall behavior for such composites.

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Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics

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