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Wave propagation in singly-constrained and nearly-constrained elastic materials. (English) Zbl 0760.73013
It is a known fact that the slowness surface of an unconstrained material exhibits three sheets. The occurrence of composite materials, such as those obtained by fibre-reinforcing of isotropic ones, has increased the interest of discussing the change of the shape of the slowness surface due to the introduced constraint. In the paper the anomalous wave propagation is investigated for the case when the material suffers a single constraint; other cases derived for the situation when a slight relaxing of the constraint is performed, are also considered. Two interesting cases are discussed, the incompressibility constraint and the inextensibility one. The Mooney-Rivlin material is found as a special case of the discussion.

MSC:
74J10 Bulk waves in solid mechanics
74E30 Composite and mixture properties
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