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Potential Method in Mathematical Theories of Multi-Porosity Media
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Catalogue Information
Field name
Details
Dewey Class
519
Title
Potential Method in Mathematical Theories of Multi-Porosity Media ([EBook]) / by Merab Svanadze.
Author
Svanadze, Merab
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2019.
Publication
Cham : Springer International Publishing , 2019.
Physical Details
XVI, 302 pages: 1 illus. : online resource.
Series
Interdisciplinary Applied Mathematics
; 51
ISBN
9783030280222
Summary Note
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.:
Contents note
Preface -- Introduction -- Fundamental Solutions in Elasticity -- Galerkin-Type Solutions and Green's Formulas in Elasticity -- Problems of Steady Vibrations of Rigid Body -- Problems of Equilibrium of Rigid Body -- Problems of Steady Vibrations in Elasticity -- Problems of Quasi-Static in Elasticity -- Problems of Pseudo-Oscillations in Elasticity -- Problems of Steady Vibrations in Thermoelasticity -- Problems of Pseudo-Oscillations in Thermoelasticity -- Problems of Quasi-Static in Thermoelasticity -- Problems of Heat Conduction for Rigid Body -- Future Research Perspectives.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-28022-2
Links to Related Works
Subject References:
Geophysics
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Geophysics and Environmental Physics
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Mathematical Applications in the Physical Sciences
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Mathematical models
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Mathematical Physics
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Mechanics
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Mechanics, Applied
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Numerical Analysis
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Partial differential equations
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Authors:
author
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Svanadze, Merab
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Corporate Authors:
SpringerLink (Online service)
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Series:
Interdisciplinary Applied Mathematics
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Classification:
519
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519 (DDC 23)
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