Energy relations in the thermomechanical fracture of materials

Abstract

This work is devoted to the theoretical substantiation of the thermodynamic equation of the limiting state deduced earlier. The analysis of the energy state of the ideal crystal lattice in the process of its deformation and fracture demonstrates the existence of the ultimate value of the ratio of mechanical energy to thermal energy under thermomechanical loading. This observation specifies the relationship between the eleasticity modulus, heat capacity, the coefficient of linear thermal expansion, and the work of fracture of the material. This relationship is consistent with the well-known energy, deformation, and power equations of the limiting state. We also analyze the characteristics of interatomic bonds in the process of fracture and present the results of numerical calculation of the ratio of mechanical energy to thermal energy for different potentials of interaction.