On the dynamic interaction between a penny-shaped crack and an expanding spherical inclusion in 3-D solid
✍ Scribed by Z.M. Xiao; J. Luo
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 387 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0013-7944
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✦ Synopsis
Three-dimensional stress investigation on the interaction between a penny-shaped crack and an expanding spherical inclusion in an infinite 3-D medium is studied in this paper. The spherical transformation area (the inclusion) expands in a self-similar way. By using the superposition principle, the original physical problem is decomposed into two subproblems. The transient elastic filed of the medium with an expanding spherical inclusion is derived with the dynamic GreenÕs function. A time domain boundary integral equation method (BIEM) is then adopted to solve the current problem. The numerical scheme applied here uses a constant shape function for elements away from the crack front, and a square root crack-tip shape function for elements near the crack tip to describe the proper behavior of the unknown quantities near the crack front. A collocation method as well as a time stepping scheme is applied to solve the BIEs. Numerical examples for the Mode I stress intensity factor are presented to assess the dynamic effect of the expanding inclusion.