Transient thermo-mechanical analysis of dynamic curving cracks in functionally graded materials
Date of Original Version
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. © Springer-Verlag 2012.
Gupta, Sachin, Sandeep Abotula, Vijaya B. Chalivendra, Arun Shukla, and Ravi Chona. "Transient thermo-mechanical analysis of dynamic curving cracks in functionally graded materials." Acta Mechanica 223, 7 (2012): 1485-1506. doi:10.1007/s00707-012-0661-9.