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Mathematical Theory of Elasticity
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Table of contents:1. Creators of the Theory of Elasticity2. Mathematical Preliminaries3. Fundamentals of Linear Elasticity4. Formulation of Problems of Elasticity5. Variational Formulation of Elastostatics6. Variational Principles of Elastodynamics7. Complete Solutions of Elasticity8. Formulation of Two-dimensional Problems9. Solutions to Particular Three-Dimensional Boundary Value Problems of Elastostatics10. Solutions to Particular Two-Dimensional Boundary Value Problems of Elastostatics11. Solutions to Particular Three-Dimensional Initial-Boundary Value Problems of Elastodynamics12. Solutio...
Table of contents:
1. Creators of the Theory of Elasticity
2. Mathematical Preliminaries
3. Fundamentals of Linear Elasticity
4. Formulation of Problems of Elasticity
5. Variational Formulation of Elastostatics
6. Variational Principles of Elastodynamics
7. Complete Solutions of Elasticity
8. Formulation of Two-dimensional Problems
9. Solutions to Particular Three-Dimensional Boundary Value Problems of Elastostatics
10. Solutions to Particular Two-Dimensional Boundary Value Problems of Elastostatics
11. Solutions to Particular Three-Dimensional Initial-Boundary Value Problems of Elastodynamics
12. Solutions to Particular Two-Dimensional Initial-boundary Value Problems of Elastodynamics
13. One-Dimensional Solutions of Elastodynamics
Name Index
Subject Index
The purpose of this book is to present Mathematical Theory of Elasticity and its applications to a wide range of readers, including graduate students and researchers in modern theory of continuum mechanics. The book provides classical results on elasticity as well as the new findings of classical type obtained in recent years by various researchers, including the authors and the collaborators. Accessible both to those who are new to the field as well as those who have already gained as insight into the subject, the volume serves a bridge between ‘Mathematical Theory of Elasticity’ through specific applications given in exercise and problems, as well as through an extensive coverage of the areas of Elastostatics, Thermoelastostatics, Elastodynamics, and Thermoelastodynamics.
1. Creators of the Theory of Elasticity
2. Mathematical Preliminaries
3. Fundamentals of Linear Elasticity
4. Formulation of Problems of Elasticity
5. Variational Formulation of Elastostatics
6. Variational Principles of Elastodynamics
7. Complete Solutions of Elasticity
8. Formulation of Two-dimensional Problems
9. Solutions to Particular Three-Dimensional Boundary Value Problems of Elastostatics
10. Solutions to Particular Two-Dimensional Boundary Value Problems of Elastostatics
11. Solutions to Particular Three-Dimensional Initial-Boundary Value Problems of Elastodynamics
12. Solutions to Particular Two-Dimensional Initial-boundary Value Problems of Elastodynamics
13. One-Dimensional Solutions of Elastodynamics
Name Index
Subject Index
The purpose of this book is to present Mathematical Theory of Elasticity and its applications to a wide range of readers, including graduate students and researchers in modern theory of continuum mechanics. The book provides classical results on elasticity as well as the new findings of classical type obtained in recent years by various researchers, including the authors and the collaborators. Accessible both to those who are new to the field as well as those who have already gained as insight into the subject, the volume serves a bridge between ‘Mathematical Theory of Elasticity’ through specific applications given in exercise and problems, as well as through an extensive coverage of the areas of Elastostatics, Thermoelastostatics, Elastodynamics, and Thermoelastodynamics.