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Potential Method in Mathematical Theories of Multi-Porosity Media

Part of the book series: Interdisciplinary Applied Mathematics ((IAM,volume 51))

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Abstract

This chapter is divided into seven main sections. In Sect. 1.1, a brief review of the theories of multi-porosity materials is presented. In Sect. 1.2, the short history of the potential method is introduced. In Sect. 1.3, the basic notations are given. These notations are used throughout this work. In Sects. 1.4 and 1.5, the basic equations of thermoelasticity and elasticity of quadruple porosity solids are presented, respectively. In Sect. 1.6, these equations are rewritten in the matrix form. Finally, in Sect. 1.7, the stress operators of the considered theories are given.

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    Merab Svanadze

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Svanadze, M. (2019). Introduction. In: Potential Method in Mathematical Theories of Multi-Porosity Media. Interdisciplinary Applied Mathematics, vol 51. Springer, Cham. https://doi.org/10.1007/978-3-030-28022-2_1

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