Three-Dimensional Problems of Elasticity and Thermoelasticity
eBook - PDF

Three-Dimensional Problems of Elasticity and Thermoelasticity

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Three-Dimensional Problems of Elasticity and Thermoelasticity

About this book

North-Holland Series in Applied Mathematics and Mechanics, Volume 25: Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity focuses on the theory of three-dimensional problems, including oscillation theory, boundary value problems, and integral equations. The publication first tackles basic concepts and axiomatization and basic singular solutions. Discussions focus on fundamental solutions of thermoelasticity, fundamental solutions of the couple-stress theory, strain energy and Hooke's law in the couple-stress theory, and basic equations in terms of stress components. The manuscript then examines uniqueness theorems and singular integrals and integral equations. The book ponders on the potential theory and boundary value problems of elastic equilibrium and steady elastic oscillations. Topics include basic theorems of the oscillation theory, existence of solutions of boundary value problems, integral equations of the boundary value problems, and boundary properties of potential-type integrals. The publication also reviews mixed dynamic problems, couple-stress elasticity, and boundary value problems for media bounded by several surfaces. The text is a dependable source of data for mathematicians and readers interested in three-dimensional problems of the mathematical theory of elasticity and thermoelasticity.

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Yes, you can access Three-Dimensional Problems of Elasticity and Thermoelasticity by V.D. Kupradze in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mechanics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2012
Print ISBN
9780444851482
eBook ISBN
9780080984636
Topic
Physical Sciences
Subtopic
Mechanics

Table of contents

  1. Front Cover
  2. Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. CHAPTER I. BASIC CONCEPTS AND AXIOMATIZATION
  7. CHAPTER II. BASIC SINGULAR SOLUTIONS
  8. CHAPTER III. UNIQUENESS THEOREMS
  9. CHAPTER IV. SINGULAR INTEGRALS AND INTEGRAL EQUATIONS
  10. CHAPTER V. THE POTENTIAL THEORY
  11. CHAPTER VI. BOUNDARY VALUE PROBLEMS OF ELASTIC EQUILIBRIUM (STATICS)
  12. CHAPTER VII. BOUNDARY VALUE PROBLEMS OF STEADY ELASTIC OSCILLATIONS
  13. CHAPTER VIII. MIXED DYNAMIC PROBLEMS
  14. CHAPTER IX. COUPLE-STRESS ELASTICITY
  15. CHAPTER X. THEORY OF THERMOELASTICITY
  16. CHAPTER XI. BOUNDARY VALUE PROBLEMS FOR MEDIA BOUNDED BY SEVERAL SURFACES
  17. CHAPTER XII. BOUNDARY-CONTACT PROBLEMS FOR INHOMOGENEOUS MEDIA
  18. CHAPTER XIII. METHOD OF GENERALIZED FOURIER SERIES
  19. CHAPTER XIV. REPRESENTATION OF SOLUTIONS BY SERIES AND QUADRATURES
  20. Bibliography
  21. List of institutions
  22. Subject index
  23. Author index
  24. List of principal notations