Stress intensity factors for V-notched strip under tension or in-plane bending

• Published in: International journal of fracture Vol. 70; no. 1; pp. 81 - 97
• Main Author: Chen, Dai-Heng
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer 1995
• Subjects: Exact sciences and technology; Fracture mechanics (crack, fatigue, damage...); Fracture mechanics, fatigue and cracks; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Singularity; Stress analysis; Stress intensity factors; Numerical methods; Notches
• ISSN: 0376-9429; 1573-2673
• DOI: 10.1007/bf00018137

The singular stress field around a sharp notch tip is expressed as a sum of two independent fields: a symmetric field with a stress singularity 1/r exp 1- lambda 1 and a skew-symmetric field with a stress singularity 1/r exp 1- lambda 2 . The intensities of the symmetric and skew-symmetric singular stress fields are defined in terms of constants K sub I and K sub II , respectively. In this study, a plane problem of a strip with single or double edge notches under tension or in-plane bending is considered. The bisector of the notch may be inclined to the edge, so that the two singular stress fields with different singularities may be created simultaneously at the notch tip. The body force method is used to calculate the stress intensity factors K sub I and K sub II . In numerical analysis, basic density functions of the body forces are introduced to characterize the stress singularity at the notch tip. The advantages of this technique are the high accuracy of results, due to the smoothness of the unknown weight functions, and the presence of the direct relation between the values of K sub I and K sub II and the values of unknown weight functions. The stress intensity factors are systematically calculated for the various geometrical conditions.