Boundary Element Analysis of Generalized Stress Intensity Factors of Plane V-notch Problems
Since there exist multiple stress singularities at a general V-notch structure, it is difficult to model the singular stress field by conventional methods. Analytical solutions of the notch stress intensity factors (SIFs) have been found only for a few special cases. Extensive studies have been carried o ut to deal with the singular stress fields of V-notch problems. Chen 1 derived the notch SIFs of s ome plane V-notch problems by using the body force method. With the solutions of stress singulari ties, Labossiere and Dunn 2 and Hwu and Kuo 3 computed the stress intensity factors through t he near tip displacement and stress fields from the conventional finite element analysis as well as t he calculation of the path-independent H-integral.In this study, a new BE approach is proposed to determine the singular stress fields of plane V-not ch structures in conjunction with asymptotic expansions of the stress distributions near the notch ti ps. To find the stress field near a tip, a small sector around the notch tip is isolated from the V-notc h structure as a free body. Based on the expression of the asymptotic expansion, the evaluation of stress singularities in the notch tip region is transformed into an eigenvalue problem of ordinary di fferential equations. The eigenvalue problem is then solved by the interpolating matrix method 4 to obtain the singularity orders and the associated eigenvectors of the V-notch. Further, the bounda ry integral equation is applied to treat the remaining region of the notched structure. Thus the displ acement and stress fields of the V-notch structure and the notch SIFs are finally determined. The e xample shows that the new approach is accurate and effective in simulating singular stress field in the V-notch structure.
Zhongrong Niu Changzheng Cheng Zhou Huanlin Naman Recho
Department of Engineering Mechanics,Hefei University of Technology,Hefei,230009 China ERMESS/EPF-Ecoles d’Ingénieurs,Sceaux and LaMI/Univ.B.Pascal,Clermont Fd.France
国际会议
南京
英文
1-2
2009-10-18（万方平台首次上网日期，不代表论文的发表时间）