Potential Method in Mathematical Theories of Multi-Porosity Media (Hardcover, 1st ed. 2019)

This monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials. These models offer several new possibilities for the study of important problems in engineering and mechanics involving multi-porosity materials, including geological materials (e.g., oil, gas, and geothermal reservoirs); manufactured porous materials (e.g., ceramics and pressed powders); and biomaterials (e.g., bone and the human brain). Proceeding from basic to more advanced material, the first part of the book begins with fundamental solutions in elasticity, followed by Galerkin-type solutions and Green's formulae in elasticity and problems of steady vibrations, quasi-static, and pseudo-oscillations for multi-porosity materials. The next part follows a similar format for thermoelasticity, concluding with a chapter on problems of heat conduction for rigid bodies. The final chapter then presents a number of open research problems to which the results presented here can be applied. All results discussed by the author have not been published previously and offer new insights into these models. Potential Method in Mathematical Theories of Multi-Porosity Media will be a valuable resource for applied mathematicians, mechanical, civil, and aerospace engineers, and researchers studying continuum mechanics. Readers should be knowledgeable in classical theories of elasticity and thermoelasticity.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Interdisciplinary Applied Mathematics, 51
Release date:	November 2019
First published:	2019
Authors:	Merab Svanadze
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	302
Edition:	1st ed. 2019
ISBN-13:	978-3-03-028021-5
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Science & Mathematics > Physics > Applied physics & special topics > Geophysics Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General Promotions
LSN:	3-03-028021-7
Barcode:	9783030280215

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