Thermomechanical Behaviour

Abstract

In the weld and base material complex strains occur being the result of welding heat source acting on the welded structure. The deformation of welded structure is thermo-elastic or thermo-elastic-plastic. Thermo-mechanical coupling in thermo-elastic material is described by the following state equations

$$S - \frac{{\partial \Psi }} {{\partial E}}S = - \frac{{\partial \Psi }}{{\partial {\theta _r}}}$$

((5.1.1))

In thermo-elasticity the free energy Ψ depends on temperature θ_r and strain

$$\Psi = \Psi ({\theta _{r,}}E)$$

((5.1.2))