Renald Brenner , Olivier Castelnau , Pierre Gilormini
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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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