Overview
- Applies the potential method to non-classical three-dimensional problems of the modern mathematical theories of elasticity and thermoelasticity for quadruple porosity materials
- Suggests future areas of research by presenting readers with numerous perspectives to explore after they have finished
- Provides a self-contained overview of theory and research, addressing a wide audience of mathematicians, physicists, engineers, and researchers from a variety of fields
Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 51)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
- Potential method book
- Potential method elasticity
- Porosity math
- Porosity materials
- Boundary Value Problems
- Multi-Porosity Media
- Galerkin-type solutions
- Laplace transform space
- Quadruple porosity materials
- Thermoelastic stress analysis
- Thermoelasticity theory
- Singular integral equation
- Potential Method
- Elasticity
- Mathematics and Solid Mechanics
- partial differential equations
About this book
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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Authors and Affiliations
Bibliographic Information
Book Title: Potential Method in Mathematical Theories of Multi-Porosity Media
Authors: Merab Svanadze
Series Title: Interdisciplinary Applied Mathematics
DOI: https://doi.org/10.1007/978-3-030-28022-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-28021-5Published: 11 November 2019
Softcover ISBN: 978-3-030-28024-6Published: 11 November 2020
eBook ISBN: 978-3-030-28022-2Published: 01 November 2019
Series ISSN: 0939-6047
Series E-ISSN: 2196-9973
Edition Number: 1
Number of Pages: XVI, 302
Number of Illustrations: 1 b/w illustrations
Topics: Mathematical Applications in the Physical Sciences, Numerical Analysis, Partial Differential Equations, Mathematical Modeling and Industrial Mathematics, Solid Mechanics, Geophysics and Environmental Physics