Lothar Jentsch; David Natroshvili : Three-dimensional mathematical Problems of thermoelasticity of anisotropic Bodies

Author(s) :

Lothar Jentsch; David Natroshvili

Title :

Three-dimensional mathematical Problems of thermoelasticity of anisotropic Bodies

Electronic source :

[gzipped dvi-file] 219 kB
[gzipped ps-file] 413 kB

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 98-3, 1998

Mathematics Subject Classification :

31B10 [ Integral representations of harmonic functions (higher-dimensional) ]

31B25 [ Boundary behavior of harmonic functions (higher-dim.) ]

35C15 [ Integral representations of solutions of PDE ]

35E05 [ Fundamental solutions (PDE with constant coefficients) ]

35J55 [ Systems of elliptic equations, boundary value problems ]

45F15 [ Systems of singular linear integral equations ]

73B30 [ Thermodynamics of solids ]

73B40 [ Anisotropic materials ]

73C15 [ Uniqueness theorems in elasticity ]

73D30 [ Linear vibrations of solids ]

73C35 [ Mixed boundary value problems in elasticity ]

73K20 [ Composite structures in mechanics of solids ]

Abstract :

CHAPTER I. Basic Equations. Fundamental Matrices.

Thermo-Radiation Conditions

1. Basic differential equations of thermoelasticity theory

2. Fundamental matrices

3. Thermo-radiating conditions. Somigliana type integral representations

CHAPTER II. Formulation of Boundary Value and Interface Problems

4. Functional spaces

5. Formulation of basic and mixed BVPs

6. Formulation of crack type problems

7. Formulation of basic and mixed interface problems

CHAPTER III. Uniqueness Theorems

8. Uniqueness theorems in pseudo-oscillation problems

9. Uniqueness theorems in steady state oscillation problems

CHAPTER IV. Potentials and Boundary Integral Operators

10. Thermoelastic steady state oscillation potentials

11. Pseudo-oscillation potentials

CHAPTER V. Regular Boundary Value and Interface Problems

12. Basic BVPs of pseudo-oscillations

13. Basic exterior BVPs of steady state oscillations

14. Basic interface problems of pseudo-oscillations

15. Basic interface problems of steady state oscillations

CHAPTER VI. Mixed and Crack Type Problems

16. Basic mixed BVPs

17. Crack type problems

18. Mixed interface problems of steady state oscillations

19. Mixed interface problems of pseudo-oscillations

Keywords :

boundary value problems, thermoelasticity, anisotropic bodies, interface problems, mixed and crack type problems

Language :

english

Publication time :

2/1998

Notes :

supported by DFG under grants number 436 GEO 17/2/95, 436 GEO 17/4/96, 436 GEO 17/2/97