Crack-tip Stress Fields on Anisotropic Plate

Abstract

The basic equation of elastic mechanics has been established according to the anisotropic material properties. The crack-tip stress problem has been investigated for the mixed loading condition. In order to determine the stress fields in an anisotropic plate, the pan-complex variable means must be utilized. Typical analytic function including the material parameter was analyzed fully. The special functions have been determined to be satisfactory for the stress boundary conditions. The pan-complex variable means as well as polar coordinate transform method were adopted so as to solve the mixed loading problems on cracked anisotropic plate. Finally, the explicit expressions of the singular stress fields were obtained with the real variables. The means in the paper ought to be of benefit to the stress fields and fracture character analysis of anisotropic plates.