Transient thermo-mechanical analysis of dynamic curving cracks in functionally graded materials

Abstract

Mixed-mode dynamic crack growth behavior along an arbitrarily smoothly varying path in functionally graded materials (FGMs) under transient thermo-mechanical loading is studied. An asymptotic analysis in conjunction with displacement potentials is used to develop transient thermo-mechanical stress fields around the propagating crack-tip. Asymptotic temperature field equations are derived for exponentially varying thermal properties, and later, these equations are used to derive transient thermo-mechanical stress fields for a curving crack in FGMs. The effect of the transient parameters (loading rate, crack-tip acceleration, and temperature change) and temperature gradient on the maximum principal stress and circumferential stress associated with the propagating crack-tip is discussed. Finally, using the minimum strain energy density criterion, the effect of temperature gradient, crack-tip speeds, and T-stress on crack growth directions is determined and discussed.

Research on Stress Intensity Factor of the Interface Crack in the Hard Cladding Material Structure under Mechanical Impact Load

“…Gupta Sachin etal. investigated the mixed-mode dynamic crack growth behavior along an arbitrarily smoothly varying path in the functional gradient materials under the action of the transient thermo-mechanical load [3]. Khandelwal R. etal.…”