Frictional contact analysis of a finite plate with multiple elliptical holes and closed cracks
任意多孔多裂纹板的裂纹闭合接触分析

Based on the mathematical programming procedure of the contact problem with friction and using the complex potential method in the anisotropic plane theory of elasticity, an efficient approach is presented to deal with the frictional contact of a finite anisotropic plate containing multiple elliptical holes and cracks subjected to arbitrary loads. The complementary parameters introduced to the contact boundary are expanded into Fourier series, and the linear complementary model considering the crack closure is obtained by means of the Faber series expansion, conformal mapping and the least square boundary collocation technique. Some examples are given to demonstrate the validity and effectiveness of the method. Numerical results indicate that the present method enjoys many advantages such as high accuracy, good convergence, and is convenient to be used to investigate effects of crack closure on the fracture parameters of structures.