Affiliation:
1. Jiangsu Teachers University of Technology
2. Dalian University of Technology
Abstract
In this paper, a numerical analytical method for singularity problem in V-type notch is presented based on Hamiltonian system. The method has an advantage that all boundary conditions can be considered with one model, and belongs to a general numerical method. Results show that the singularity of the problem relates to the opening angle of the V-type notch where the crack is just a special case. Further, numerical results give rules of stress distribution under various conditions.
Publisher
Trans Tech Publications, Ltd.
Reference7 articles.
1. W.X. Zhong: Duality System in Applied Mechanics and Optimal Control (KAP Press, USA2004).
2. W.X. Zhong: Appl. Math. Mech. Vol. 15(12) (1994), p.1113.
3. X.S. Xu, X.G. Zheng, H.W. Zhang, W.X. Zhong: Chinese J. Appl. Mech. Vol. 16(2) (1999), p.140 (in Chinese).
4. H.W. Zhang, W.X. Zhong: Int. J. Solids Struct. Vol. 40(2) (2003), p.493.
5. A.Y.T. Leung, X.S. Xu, Z.H. Zhou, Y.F. Wu: Eng. Fracture Mech. Vol. 76(2009), p.1866.