Potential Method in Mathematical Theories of Multi-Porosity Media. 1st ed. 2019

種類:

電子ブック

責任表示:

by Merab Svanadze

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Svanadze, Merab.
• SpringerLink (Online service)

シリーズ名:

Interdisciplinary Applied Mathematics ; 51

ISBN:

9783030280222 [3030280225]    

注記:

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 pr

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