Mode III crack approaching the wedge-shaped elastic inclusion
| Autor: | Victor V. Tikhomirov |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Materials science
business.product_category Mathematical analysis Crack tip opening displacement 02 engineering and technology 021001 nanoscience & nanotechnology Crack growth resistance curve Wedge (mechanical device) Physics::Geophysics Crack closure 020303 mechanical engineering & transports Transformation (function) 0203 mechanical engineering Point (geometry) Inclusion (mineral) 0210 nano-technology business Stress intensity factor |
| Zdroj: | St. Petersburg Polytechnical University Journal: Physics and Mathematics. 3:144-152 |
| ISSN: | 2405-7223 |
| DOI: | 10.1016/j.spjpm.2017.06.001 |
| Popis: | The problem on an antiplane semi-infinite crack approaching an elastic wedge-shaped inclusion is considered. The problem has been solved exactly using the Mellin integral transformation and the Wiener–Hopf method. The asymptotic behavior of the stress intensity factor KIII in the crack tip was studied for short distances from the crack to the inclusion vicinity. Depending on the composition parameters, the crack was shown to be stable (KIII → 0) or unstable (KIII → ∞). Provided that the interface has a corner point, the crack growth can be unstable (unlike the smooth interface) for some parameter values even though the crack approaches, from a soft material, a relatively harder inclusion. Alternatively, the possibility of KIII → 0 exists provided the crack approaching a soft inclusion from a hard material. |
| Databáze: | OpenAIRE |
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