Quadrangular grid method for stress wave propagation in 2D orthotropic materials

Abstract

Quadrangular grid method is presented for simulating the propagation of elastic stress waves in two dimensional orthotropic midia. The investigated lumps are constructed among the auxiliary quadrangular grids.The dynamic equations of the investigated lump are given by integreting along the boundary of the investigated lump. The algorithm is obtained by computing the nodal displacements and the central point stresses of the quadrangular grids alternately in time domain. The numerical results are compared with the solutions of the finite element method. The results demonstrate that the quadrangular grid method is of much higher calculational speed than the finite element method. The stress wave propagation is simulated numerically in an orthotropic plate with a hole. Finally, stress wave propagation in two layers of different media is studied and the example shows the features of the reflected and refracted wave propagations.