An improved analytical formula of generalised stress intensity factors for blunt V-notches in orthotropic plates

Abstract

For anisotropic plates with notches, the notch stress field is not only related to the opening depth, notch angle and geometric size, but also closely related to the elastic properties of materials. In order to simplify the assessment method of notch stress and GSIF for single edge blunt V-notches orthotropic thin plate, a semi-analytical formula of notch stress field of anisotropic plate is proposed based on the characteristic equation of generalized biharmonic equation of anisotropic body. By equating geometric dimensions, opening angle and elastic properties of materials with equivalent strength factors of orthotropic materials, the notch stress field and GSIF of planar composite plates are simplified and solved. After a large number of finite element numerical cases and multi-parameter analysis, the empirical formula of dimensionless GSIF is obtained by fitting. The prediction results of the improved formula are compared with the GSIF and stress fields of numerical models under different materials and geometric conditions. The results show that the error between the predicted GSIF results and the numerical results by the semi-analytical formula proposed in this paper is less than 5%, which is more accurate than the traditional analytical formula. The related formulas and conclusions provide a basis for the design optimization and safety evaluation of composite blunt V-notches structures.