Analytical solution of a semi-permeable crack in a 2D piezoelectric medium based on the PS model

作者：Fan CuiYing; Zhao YanFei; Zhao MingHao^*; Pan Ernian

来源：Mechanics Research Communications, 2012, 40: 34-40.

DOI：10.1016/j.mechrescom.2012.01.001

• Piezoelectric fracture
• Dislocation density method
• Polarization saturation (PS)
• Semi-permeable crack
• Intensity factor

This paper considers a straight but nonlinear crack in a two-dimensional piezoelectric plane. Different to the existing theoretical solution of the well-known polarization saturation (PS) model, we assume the crack to be semi-permeable. By introducing the dislocation density along the crack line, we derive the analytical solution for the field quantities. Numerical results show that the effect of different boundary conditions on the electric yielding zone and the stress intensity factor is significant and should not be ignored. The influence of the saturated electric displacement on the stress intensity factor and the electric displacement in the crack cavity is also demonstrated.

• 出版日期2012-3
• 单位郑州大学