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