Transient thermal stress intensity factors for Mode I edge-cracks

Stress intensity factors are analytically derived for an edge-cracked circular disk subjected to transient thermal stresses using symplectic technique. The transient temperature function for the time independent boundary conditions is obtained by a generalized symplectic approach and the method of separation of variables. From the obtained temperature function, quasi-static solutions of the thermoelasticity problem are derived analytically. The stress intensity factors together with the close form solutions for both displacements and stresses are found simultaneously. The results obtained are in good accordance with those cited in the literature for some special cases of steady state problem. In addition, a parametric study is performed in the numerical examples.

► Established a Hamiltonian system for fracture analysis of transient thermoelasticity.
► Derived symplectic eigen-functions which compose a complete space.
► Represented the formula of SIF by the combination of coefficients of eigen-functions.
► Obtained the close form solutions for both displacements and stresses simultaneously.
► Analyzed the variations of the SIF with various influence factors.