Development of generalized interpolation material point method for simulating fully coupled thermomechanical failure evolution

Based on the conservation laws of mass, momentum and energy, the generalized interpolation material point (GIMP) method is further developed in this paper for fully coupled thermomechanical problems, with applications to model-based simulation of failure evolution. The fully coupled thermomechanical GIMP method (CTGIMP) considers the effects of both the temperature on deformation and the deformation on temperature. The discrete governing equations are formulated for both thermomechanical motion and heat conduction. A staggered solution scheme is designed to solve the coupled governing equations with explicit time integration. Representative examples with analytical solutions are presented to verify the proposed CTGIMP for coupled thermomechanical analyses. The CTGIMP is then used for model-based simulation of vibration-induced thermoplasticity, and of failure evolution in a snowy slope under the heat convection condition to demonstrate the potential of the proposed procedure in engineering applications.