Investigation of the interaction of two collinear cracks in anisotropic elasticity materials by means of the nonlocal theory |
| |
| Affiliation: | 1. College of Mathematics, Taiyuan University of Technology, Taiyuan, China;2. School of Engineering and Materials Science, Queen Mary, University of London, London E1 4NS, UK;3. Department of Aeronautics, Imperial College London, South Kensington Campus, London SW7 2BY, UK;1. Henan Key Engineering Laboratory for Anti-fatigue Manufacturing Technology and School of Mechanical Engineering, Zhengzhou University, Zhengzhou 450001, China;2. School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, China;1. Young Researchers and Elite Club, Hashtgerd Branch, Islamic Azad University, Alborz, Iran;2. Department of Mechanical Engineering, Hashtgerd Branch, Islamic Azad University, P.O. Box 33615-178, Alborz, Iran;1. Department of Civil Engineering, The University of Hong Kong, Hong Kong, China;2. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China |
| |
| Abstract: | In this paper, the interaction of two collinear cracks in anisotropic elasticity materials subjected to an anti-plane shear loading is investigated by means of the nonlocal theory. By use of the Fourier transform, the problem can be solved with the help of a pair of triple integral equations, in which the unknown variable is the displacement on the crack surface. To solve the triple integral equations, the displacement on the crack surface is expanded in a series of Jacobi polynomials. Unlike the classical elasticity solutions, it is found that no stress singularity is present at the crack tip. The nonlocal elastic solutions yield a finite hoop stress at the crack tip, thus allowing us to use the maximum stress hypothesis as a fracture criterion. The magnitude of the finite stress field depends on the crack length, the distance between two cracks and the lattice parameter of materials. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
