Integral parameters for thermal fracture J′, θ and [formula omitted

Abstract

This paper discusses the difference between parameters J', J θ and J ∗ in the case of linear elastic bodies under heat loading conditions. It shows for non-singular temperature at the crack tip that (i) J' ≈ J θ ; (ii) for temperature-dependent elastic parameters, J' and/or J θ must be evaluated in an incremental way; (iii) for constant elastic parameters J' and/or J θ are equal to the values obtained from the current state and they are equal to J ∗ . The physical meaning of the above mentioned parameters is discussed.