Numerical Calculation Of Fracture Parameters Of Piezoelectric Material Based On ABAQUS

The unique mechanical properties and mechanical properties of piezoelectric materials have been widely used. However, the material is brittle, so the piezoelectric materials with the initial defects are prone to crack under the action of external loads. In this paper, we first summarize the existing research on the fracture behavior of piezoelectric materials, mainly focused on the study of piezoelectric fracture analysis and the research on the fracture criterion of piezoelectric materials which including the stress intensity factor criterion and energy release rate criterion. Because of the mechanical and electrical properties of piezoelectric materials, there are many difficulties in the study of the semi-conduction boundary conditions and the stress free boundary conditions, therefore the problem can be simplified model with insulation and stress crack free boundary conditions. ABAQUS is only for the calculation of the basic parameters of the ordinary isotropic materials under monotonic loading conditions, while the piezoelectric materials is not directly used in the calculation of the basic fracture parameters, so the combination of numerical method is used to calculate the basic fracture parameters. In this paper, three basic fracture parameters of piezoelectric material are calculated, and the numerical calculation method with advantages of three fracture parameters are calculated respectively.Then the software ABAQUS established piezoelectric finite element model of center crack panels, using the virtual crack closure method to calculate the mechanical load and electrical load under different crack length of the energy release rate, calculation results are in excellent agreement with the analytical solutions. According to the relationship between the energy release rate and the crack tip stress intensity factor, the crack tip stress intensity factor and the electric displacement intensity factor are calculated by using the calculated energy release rate. Because of the mechanical and electrical characteristics of piezoelectric materials, the input of material constants in ABAQUS software is different from that of ordinary materials, which need to be based on the constitutive equation of piezoelectric materials, if polarization axis deflection angle for different material constants of the input sequence are also different. The energy release rate, the stress intensity factor and the electric displacement intensity factor, which are calculated according to the conversion of the piezoelectric material constants to the polarization axis deflection of 45 degrees, are calculated at the same time. The crack tip stress intensity factor and the electric displacement intensity factor of the crack tip are shown to be related to the applied load and the crack length when the polarization axis is 45 degrees.In the end, the equivalent integral method is applied to the calculation of piezoelectric materials. The results are compared with the analytical solution, so the method is feasible. In this paper, the numerical method can be used to calculate the three basic fracture parameters of the piezoelectric material.