Potential Method in Mathematical Theories of Multi-Porosity Media

Language: English

Published by Springer, 2019

3030280217 / 9783030280215

Series: Book 50 of 53 - Interdisciplinary Applied Mathematics

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Zustand: Hervorragend | Seiten: 320 | Sprache: Englisch | Produktart: Bücher | 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.

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Title
Potential Method in Mathematical Theories of Multi-Porosity Media
Author
Svanadze, Merab
Publisher
Springer
Publication year
2019
Condition
Hervorragend
Binding
Hardcover
Language
English
ISBN 10
3030280217
ISBN 13
9783030280215
Series
Book 50 of 53: Interdisciplinary Applied Mathematics
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Buchpark

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