A novel approach for a thermo-mechanically coupled and gradient-enhanced damage model
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Material damage leads to an increase in temperature due to energy dissipation. Furthermore, a non-uniform temperature distribution can result in damage evolution due to the internal stress in a physical body. To model this behavior, we apply the extended Hamilton’s principle to create a new thermo-mechanically coupled gradient-enhanced damage model, which includes the damage and temperature evolution. In order to accelerate the computation speed, we adopt the neighbored element method to calculate the Laplace operator for the damage variable and temperature in the governing equation. The numerical examples show the robustness and efficiency of our method in the thermal shock problem.
