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Potential Method in Mathematical Theories of Multi-Porosity Media

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Potential Method in Mathematical Theories of Multi-Porosity Media/ by Merab Svanadze.
作者:	Svanadze, Merab.
面頁冊數:	XVI, 302 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical physics. -
電子資源:	https://doi.org/10.1007/978-3-030-28022-2
ISBN:	9783030280222

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

Potential Method in Mathematical Theories of Multi-Porosity Media[electronic resource] /by Merab Svanadze. - 1st ed. 2019. - XVI, 302 p. 1 illus.online resource. - Interdisciplinary Applied Mathematics,510939-6047 ;. - Interdisciplinary Applied Mathematics,19.

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.

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.

ISBN: 9783030280222

Standard No.: 10.1007/978-3-030-28022-2doiSubjects--Topical Terms:

527831
Mathematical physics.

LC Class. No.: QC19.2-20.85

Dewey Class. No.: 519

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