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Plane Waves and Uniqueness Theorems in the Coupled Linear Theory of Elasticity for Solids with Double Porosity

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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.

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Acknowledgement

The authors are grateful to the reviewers for fruitful suggestions.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Elettronica e Ingegneria Informatica, Università di Salerno, Fisciano, (SA), Italy

    Michele Ciarletta & Francesca Passarella

  2. Institute for Fundamental and Interdisciplinary Mathematics Research, Ilia State University, K. Cholokashvili Ave., 3/5, 0162, Tbilisi, Georgia

    Merab Svanadze

Authors
  1. Michele Ciarletta
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  2. Francesca Passarella
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  3. Merab Svanadze
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Correspondence to Merab Svanadze.

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Ciarletta, M., Passarella, F. & Svanadze, M. Plane Waves and Uniqueness Theorems in the Coupled Linear Theory of Elasticity for Solids with Double Porosity. J Elast 114, 55–68 (2014). https://doi.org/10.1007/s10659-012-9426-x

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  • DOI: https://doi.org/10.1007/s10659-012-9426-x

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