DETERMINATION OF CRACK SURFACE DISPLACEMENTS FOR A RADIAL CRACK EMANATING FROM A SEMI-CIRCULAR NOTCH USING WEIGHT FUNCTION METHOD

• Published in: Acta mechanica solida Sinica Vol. 28; no. 3; pp. 305 - 312
• Main Authors: Tong, Dihua, Wu, Xueren
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.06.2015; Springer Singapore
• Subjects: Classical Mechanics; crack surface displacement; Dugdale strip-yield model; Engineering; radial crack; semi-circular notch; Surfaces and Interfaces; Theoretical and Applied Mechanics; Thin Films; weight function method; 函数方法; 径向裂纹; 损伤容限设计; 断裂力学参数; 测定; 疲劳裂纹扩展; 缺口; 表面位移; semi-circular notch; radial crack; crack surface displacement; weight function method; Dugdale strip-yield model
• ISSN: 0894-9166; 1860-2134
• DOI: 10.1016/S0894-9166(15)30017-3

A radial crack emanating from a semi-circular notch is of significant engineering importance. Accurate determination of key fracture mechanics parameters is essential for damage tolerance design and fatigue crack growth life predictions. The purpose of this paper is to provide an efficient and accurate closed-form weight function approach to the calculation of crack surface displacements for a radial crack emanating from a semi-circular notch in a semi-infinite plate. Results are presented for two load conditions: remote applied stress and uniform stress segment applied to crack surfaces. Based on a correction of stress intensity factor ratio, highly accurate analytical equations of crack surface displacements under the two load conditions are developed by fitting the data obtained with the weight function method. It is demonstrated that the Wu-Carlsson closed-form weight functions are very efficient, accurate and easy-to-use for calculating crack surface displacements for arbitrary load conditions. The method will facilitate fatigue crack closure and other fracture mechanics analyses where accurate crack surface displacements are required.