Axisymmetric Generalized Interpolation Material Point Method for Fully Coupled Thermomechanical Evaluation of Transient Responses

In this paper, an axisymmetric generalized interpolation material point method for fully coupled thermomechanical analysis (AxiCTGIMP) is developed for evaluating the transient responses, where both the thermoelastic and thermoplastic effects are taken into account. The generalized interpolation material point method (GIMP) discretization in space for the coupled governing equations is described in detail. A staggered solution scheme is designed to split the coupled system into the parts related to the temperature and displacement fields, respectively, which are then solved individually with explicit time integration. The AxiCTGIMP is then verified and validated with two benchmark examples: the thick-walled cylinder and the Taylor-bar impact test. The simulation results show good agreements with available analytical solutions, experimental data and other numerical results. In addition, the results indicate that the proposed solution procedure is more accurate than the original MPM while it is much more efficient than the fully three-dimensional simulation for the axisymmetric thermomechanical problems.