Analysis of nonlinear dynamic response and delamination fatigue growth for delaminated piezoelectric laminated beam-plates

The delamination growth may occur in piezoelectric laminated beam-plates with delamination under cycle load and it will cause structure failure. Based on the variational principle of moving boundary and considering the contact effect between delamination regions, the nonlinear governing equations of the piezoelectric laminated beam-plates with delamination are derived, and the corresponding boundary and matching conditions are given. According to the Griffith criterion, the formulas of energy release rate along the delamination front are obtained. Applying the Paris law, the delamination growth rate is arrived and using cyclic skip method, the delamination growth lengths along the delamination fronts under cycle load are finally determined. In the numerical examples, the delamination growth of piezoelectric laminated beam-plates with asymmetric delamination is calculated, and the effects of voltages, asymmetry of delamination and delamination length on energy release rate and delamination growth length are discussed.