Singular stress analysis near sharp corners in anisotropic notched plates subjected to bending loads

• Published in: Applied Mathematical Modelling Vol. 55; pp. 183 - 204
• Main Author: Chen, Chung-De
• Format: Journal Article
• Language: English
• Published: New York Elsevier Inc 01.03.2018; Elsevier BV
• Subjects: Anisotropic material; Anisotropy; Bending; Corners; First-order shear deformation plate theory; Mellin transforms; Plate theory; Shear deformation; Singular stress fields; Singularity (mathematics); Stress analysis; Stress singularity; Stroh formalism; Studies; First-order shear deformation plate theory; Anisotropic material; Stress singularity; Stroh formalism
• ISSN: 0307-904X; 1088-8691; 0307-904X
• DOI: 10.1016/j.apm.2017.10.023

•Analytical derivation of the stress singularities of an anisotropic notched plate.•The Stroh formalism is used to model the material anisotropy.•The results are validated by finite element and some reduction cases.•The full solutions of stress singularity orders and stress intensities are obtained. This paper presents an analytical approach to determine the singular stress fields near sharp corners in anisotropic notched plate subjected to bending. The first-order shear deformation plate theory (FSDPT) is used and the material anisotropy is modeled by the Stroh formalism. Based on the Mellin transform method, the stress singularity orders as well as the stress intensities are determined analytically. The results presented in this paper give us the singular behaviors for various plate angle α, material orientation angles ϕ and the anisotropic parameters ε. These new findings are helpful in reducing or even eliminating the singularities near the sharp corner.