Application of differential quadrature method to delaminated first-order shear deformable composite plates

摘要

In this work the differential quadrature method is applied to first-order shear deformable composite plates having a through-width delamination. The semi-layerwise modeling technique is applied to capture the delamination, the governing equations of the plate are presented based on some previous works. The methods of two and four equivalent single layers are applied to provide some numerical results. In this paper four cases with two different lay-ups are applied depending on the position of delamination. The plates are subjected to a concentrated transverse force in the middle in each case. First, the convergence of deflection by the differential quadrature method is compared to that by analytical and spatial finite element models for simply-supported plates. It was recognized that the solution deviates between an upper and lower bounds. The convergence of mode-II and mode-III energy release rates was also investigated and it was found that the method of two equivalent single layers provides a "peak-valley" oscillatory phenomenon of the mode-II component. Second, the differential quadrature method using four equivalent single layers was applied to fully clamped plates with delamination. The upper and lower bounds the solution deviates within were observed, moreover the importance of proper grid structure was highlighted in order to avoid the waviness of the mode-III energy release rate.