Potential Method in Mathematical Theories of Multi-Porosity Media

By:

Merab Svanadze

Format:

Paperback / softback

Series:

Interdisciplinary Applied Mathematics

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Description

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 conductionfor 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.

Release date Australia

November 11th, 2020

Author

Merab Svanadze

Audience

Professional & Vocational

Edition

1st ed. 2019

Illustrations

1 Illustrations, black and white; XVI, 302 p. 1 illus.

Pages

302

Series

Interdisciplinary Applied Mathematics

ISBN-13

9783030280246

Product ID

34036657

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