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An effective method of verifying Hadamard’s condition for a nonlinearly elastic compressible medium. (English. Russian original) Zbl 0785.73022
J. Appl. Math. Mech. 56, No. 2, 252-260 (1992); translation from Prikl. Mat. Mekh. 56, No. 2, 296-305 (1992).
Summary: A new effective criterion is proposed for the validity of Hadamard’s condition in a nonlinearly elastic compressible body. The verification of Hadamard’s condition reduces to analysing a simply structured system of inequalities, so that its validity can be investigated by analytical means, using the same technique for all compressible materials.

MSC:
74B20 Nonlinear elasticity
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