非线性复合材料整体性能的修正仿射理论

Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-09-01 DOI:10.1016/S1620-7742(01)01382-4

Renald Brenner , Olivier Castelnau , Pierre Gilormini

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引用次数: 21

摘要

推导了非均匀线性热弹性材料的相内应力和应变二阶矩的表达式；它们被用来量化由非线性复合材料均匀化的“经典仿射”公式预测的相内不均匀性。与“修正割线”方法类似，提出了一种解释相内异质性的“修正仿射”公式。

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A modified affine theory for the overall properties of nonlinear composites

The expressions of the intraphase second moments of stress and strain in heterogeneous linear thermoelastic materials are derived; they are used to quantify the intraphase heterogeneity predicted by the ‘classical affine’ formulation for the homogenization of nonlinear composites. By analogy with the ‘modified secant’ approach, a ‘modified affine’ formulation that accounts for intraphase heterogeneity is proposed.

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

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