A coupled axisymmetric peridynamics with correspondence material model for thermoplastic and ductile fracture problems

A coupled axisymmetric peridynamics with correspondence material model (CA-PD-CMM) is proposed in this work to predict the heat conduction, plastic and fracture behaviors of metals. In this model, the governing equations of axisymmetric thermo-mechanical problems are derived based on the Euler–Lagrange equation and the separation of the deformations along the in- and out-of-plane directions. The force state and heat flux state are given by the PD linearized theory. The theory of continuum damage mechanics is incorporated into the CA-PD-CMM to effectively describe the ductile damage behaviors. Moreover, a secant line technique based on the uniaxial tensile test curve is developed to obtain temperature-dependent parameters of the damage model. Finally, the validity and performance of the proposed CA-PD-CMM are demonstrated by several representative numerical examples.