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On the encounter of an acoustic shear pulse with a phase boundary in an elastic material: reflection and transmission behavior

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Abstract

The fully dynamical motion of a phase boundary is considered for a specific class of elastic materials whose stress-strain relation in simple shear is nonmonotone. It is shown that a preexisting stationary phase boundary in a prestressed layer composed of such a material can be set in motion by a finite amplitude shear pulse. An infinity of solutions is possible according to the present theory, each of which is characterized by different reflected and transmitted waves at the phase boundary. A global analysis gives exact bounds on the size of the solution family for different shear pulse amplitudes. For certain ranges of shear pulse amplitudes a completely reflecting solution will exist, while for an in general different range of shear pulse amplitudes a completely transmitting solution will exist. The properties of these different solutions are examined. In particular, it is observed that the ringing of a shear pulse between the external boundaries and the internal phase boundary gives rise to periodic phase boundary motion for both the case of a completely reflecting phase boundary and a completely transmitting phase boundary.

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  1. Department of Metallurgy, Mechanics and Materials Science, Michigan State University, 48824-1226, East Lansing, MI, USA

    Thomas J. Pence

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Pence, T.J. On the encounter of an acoustic shear pulse with a phase boundary in an elastic material: reflection and transmission behavior. J Elasticity 25, 31–74 (1991). https://doi.org/10.1007/BF00041701

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  • DOI: https://doi.org/10.1007/BF00041701

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