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Low-frequency scattering by a body in lubricated contact. (English) Zbl 0552.73023

This paper considers the scattering of a harmonic elastic wave by an object in fully lubricated contact with its surroundings. Integral equations are derived and the uniqueness properties of the equations are studied in detail. The special case of low frequency is considered. Bounds are determined for the first order scattering together with estimates of the effects of altering the material constants. Variational principles are formulated, capable of providing both upper and lower bounds.
Reviewer: A.Jeffrey

MSC:

74J99 Waves in solid mechanics
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
74J20 Wave scattering in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
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