Potential Method in Mathematical Theories of Multi-Porosity Media by Merab Svanadze

Potential Method in Mathematical Theories of Multi-Porosity Media by Merab Svanadze

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.

“This monograph is a valuable contribution to mathematical physics” (Vladimir Mityushev, zbMATH 1481.74007, 2022)

SKU	Nicht verfügbar
ISBN 13	9783030280246
ISBN 10	3030280241
Titel	Potential Method in Mathematical Theories of Multi-Porosity Media
Autor	Merab Svanadze
Serie	Interdisciplinary Applied Mathematics
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Springer Nature Switzerland AG
Erscheinungsjahr	2020-11-11
Seitenanzahl	302
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar