Dynamic fracture analysis of functionally graded materials under thermal shock loading by using the radial integration boundary element method

A coupled thermoelastic radial integration boundary element method is applied to analyze the dynamic fracture mechanics of functionally graded materials (FGMs) subjected to the thermal shock loadings. The dynamic stress intensity factor (DSIF) of the crack tip is defined by the crack open displacement (COD) near the crack tip. The effects of material gradating direction versus crack direction and the coupling effects on the stress intensity factor are studied for two- and three-dimensional crack structures. The results demonstrate that the present method is very accuracy and efficiency to analyze the dynamic fracture mechanics for the cracked FGMs. The research also provides a theoretical basis for engineering design, and can extend the application range of the boundary element method.