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Constitutive equations and nonlinear waves. (English) Zbl 0906.73022

On the basis of three axioms and four assumptions relating to wave propagation in solids described by constitutive equations involving both material time derivatives and space derivatives of the Cauchy stress tensor and Eulerian strain tensor, the author derives restrictions on these equations from the kinematic compatibility conditions governing propagating discontinuities. The aims are obfuscated by poor English.

MSC:

74J10 Bulk waves in solid mechanics
74A20 Theory of constitutive functions in solid mechanics
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