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Plane Waves and Uniqueness Theorems in the Coupled Linear Theory of Elasticity for Solids with Double Porosity
Authors:Michele Ciarletta  Francesca Passarella  Merab Svanadze
Institution:1. Dipartimento di Ingegneria Elettronica e Ingegneria Informatica, Università di Salerno, Fisciano, (SA), Italy
2. Institute for Fundamental and Interdisciplinary Mathematics Research, Ilia State University, K. Cholokashvili Ave., 3/5, 0162, Tbilisi, Georgia
Abstract:This paper concerns with the coupled linear dynamical theory of elasticity for solids with double porosity. Basic properties of plane harmonic waves are established. Radiation conditions of regular vectors are given. Basic internal and external boundary value problems (BVPs) of steady vibrations are formulated, and finally, uniqueness theorems for regular (classical) solutions of these BVPs are proved.
Keywords:
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