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A shortcoming of the classical nonlinear extension of the self-consistent model. (Insuffisance de l’extension classique du modèle autocohérent au comportement non linéaire.) (French. Abridged English version) Zbl 0834.73013

Summary: The classical extension of the self-consistent model to nonlinear materials is applied to an isotropic two-phase aggregate of incompressible power-law elastic spheres. It is shown that the response obtained in uniaxial tension exceeds the recently derived upper bound in many cases.

MSC:

74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
74B20 Nonlinear elasticity