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Structural Engineering and Mechanics Volume 63, Number 3, August10 2017 , pages 329-345 DOI: https://doi.org/10.12989/sem.2017.63.3.329 |
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Study on dynamic interaction between crack and inclusion or void by using XFEM |
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Shouyan Jiang and Chengbin Du
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| Abstract | ||
| This paper devoted to study dynamic interaction between crack and inclusion or void by developing the eXtended Finite Element Methods (XFEM). A novel XFEM approximation is presented for these structures containing multi discontinuities (void, inclusion, and crack). The level set methods are used so that elements that include a crack segment, the boundary of a void, or the boundary of an inclusion are not required to conform to discontinuous edges. The investigation covers the effects of a single circular or elliptical void / stiff inclusion, and multi stiff inclusions on the crack propagation path under dynamic loads. Both the void and the inclusion have a significant effect on the dynamic crack propagation path. The crack initially curves towards into the void, then, the crack moves round the void and propagates away the void. If a large void lies in front of crack tip, the crack may propagate into the void. If an enough small void lies in front of crack tip, the void may have a slight or no influence on the crack propagation path. For a stiff inclusion, the crack initially propagates away the inclusion, then, after the crack moves round the inclusion, it starts to propagate along its original path. As a (the ratio of the elastic modulus of the inclusion to that of the matrix) increases, a larger curvature of the crack path deflection can be observed. However, as a increases from 2 to 10, the curvature has an evident increase. By comparison, the curvature has a slight increase, as a from 10 to 1000. | ||
| Key Words | ||
| extended finite element methods; dynamic interaction; crack; inclusion; void | ||
| Address | ||
| Shouyan Jiang and Chengbin Du: Department of Engineering Mechanics, Hohai University, Nanjing 210098, China | ||