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Explicit solution of one boundary value problem in the full coupled theory of elasticity for solids with double porosity

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Abstract

Our goal was to consider the two-dimensional version of the full coupled linear equilibrium theory of elasticity for materials with double porosity and to construct explicitly the solutions of BVPs, in the form of absolutely and uniformly convergent series that is useful in engineering practice. In this paper, the Neumann-type BVPs of statics for an elastic circle and for a plane with circular hole are considered. The uniqueness theorems of the considered boundary value problems are proved.

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  1. I. Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University, 2, University St., 0186, Tbilisi, Georgia

    I. Tsagareli & L. Bitsadze

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  1. I. Tsagareli
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  2. L. Bitsadze
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Correspondence to L. Bitsadze.

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Tsagareli, I., Bitsadze, L. Explicit solution of one boundary value problem in the full coupled theory of elasticity for solids with double porosity. Acta Mech 226, 1409–1418 (2015). https://doi.org/10.1007/s00707-014-1260-8

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  • DOI: https://doi.org/10.1007/s00707-014-1260-8

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