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| Content Provider | Springer Nature Link |
|---|---|
| Author | Zhou, Zhen Gong Wu, Lin Zhi Wang, Biao |
| Copyright Year | 2006 |
| Abstract | In this paper, the dynamic behavior of two collinear cracks in the anisotropic elasticity material plane subjected to the harmonic anti-plane shear waves is investigated by use of the nonlocal theory. To overcome the mathematical difficulties, a one-dimensional nonlocal kernel is used instead of a two-dimensional one for the anti-plane dynamic problem to obtain the stress field near the crack tips. 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 surfaces. To solve the triple integral equations, the displacement on the crack surfaces is expanded in a series of Jacobi polynomials. Unlike the classical elasticity solutions, it is found that no stress singularity is present near crack tips. The nonlocal elasticity solutions yield a finite hoop stress at the crack tips, thus allowing us to using the maximum stress as a fracture criterion. The magnitude of the finite stress field not only depends on the crack length but also on the frequency of the incident waves and the lattice parameter of the materials. |
| Starting Page | 591 |
| Ending Page | 598 |
| Page Count | 8 |
| File Format | |
| ISSN | 00256455 |
| Journal | Meccanica |
| Volume Number | 41 |
| Issue Number | 6 |
| e-ISSN | 15729648 |
| Language | English |
| Publisher | Kluwer Academic Publishers |
| Publisher Date | 2006-10-31 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Collinear crack Nonlocal theory Anisotropic material Mechanics of solids Mechanical Engineering Automotive and Aerospace Engineering, Traffic Civil Engineering Mechanics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mechanics of Materials Condensed Matter Physics Mechanical Engineering |
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