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A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media. (English) Zbl 0876.73030
Summary: The conditions for the strong ellipticity of the equilibrium equations of compressible, isotropic, nonlinearly elastic solids are expressed in terms of the stored-energy function regarded as a function of the principal stretches. The applicability of this reformulation is illustrated with two specific examples.

MSC:
74B20 Nonlinear elasticity
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