Potential Method in Mathematical Theories of Multi-Porosity Media

• Main Author: Svanadze, Merab (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Interdisciplinary Applied Mathematics, 51
• Subjects: Mathematical physics.; Numerical analysis.; Partial differential equations.; Mathematical models.; Mechanics.; Mechanics, Applied.; Geophysics.; Mathematical Applications in the Physical Sciences.; Numerical Analysis.; Partial Differential Equations.; Mathematical Modeling and Industrial Mathematics.; Solid Mechanics.; Geophysics and Environmental Physics.

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 in...

Table of Contents:

• 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.