Solution in integrals of a 3D BVP of thermoelasticity: Green’s functions and integration formula for thermal stresses within a semi-bounded parallelepiped

2017 ◽  
Vol 228 (12) ◽  
pp. 4471-4490 ◽  
Author(s):  
Victor Şeremet ◽  
Dumitru Şeremet
Keyword(s):  
Green's Functions ◽  
Thermal Stresses ◽  
Green’S Functions ◽  
Integration Formula

Thermal Stresses in an Orthotropic Elastic Semispace

1972 ◽  
Vol 39 (1) ◽  
pp. 87-90 ◽  
Author(s):  
A. Y. Ako¨z ◽  
T. R. Tauchert
Keyword(s):  
Temperature Field ◽  
Green's Functions ◽  
Thermal Stresses ◽  
Green’S Functions ◽  
Elastic Solid ◽  
Displacement Boundary ◽  
Steady State Temperature ◽  
Method Of Solution ◽  
Displacement Potentials ◽  
General Method

The thermal stresses in an orthotropic semi-infinite elastic solid subject to plane strain are investigated. A general method of solution based upon displacement potentials is presented for the case of a steady-state temperature field. Results are presented for both stress-free and zero-displacement boundary conditions. The stresses are written in terms of Green’s functions, where the Green’s functions represent stresses induced by a line source of temperature on the bounding plane.

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