Asymptotic Solutions and Estimations of Some Three-dimensional Problems for Bodies Weakened by Plane Crack Systems
✍ Scribed by B.V. Sobol
- Publisher
- Elsevier
- Year
- 2011
- Tongue
- English
- Weight
- 465 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1877-7058
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✦ Synopsis
A selection of the author's [1,3,4,8] and some other researchers' works deal with the formulation and investigation of a series of problems relating to elastic space, half-space and layer equilibrium, containing systems of plane cracks. A few cases where such cracks are perpendicular or parallel to the boundary have been considered. There have also been studied some issues of interaction between two cracks aligned symmetrically, an infinite chain and a twiceperiodical system of cracks lying in the same plane. A case where a three-periodical system of cracks fills the elastic space has been discussed as well. It is important to note that over the last decades there have been developed a few highly effective numerical methods for the solution of mechanical problems [2]. However, analytical methods are still of equal importance as they support not only quantitative, but also qualitative investigations of these and other effects.
Here we are focusing on the numerical and comparative qualitative analysis of the above problems. We have established some features of mutual interaction between the cracks and the borders on the stress-intensity factor in the contour vicinity for each particular case.