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In this paper, we consider an interface mode III crack with a process zone located in front of the fracture tip. The zone is described by imperfect transmission conditions. After application of the Fourier transform, the original problem is reduced to a vectorial Wiener- Hopf equation whose kernel contains oscillatory factors. We perform the factorization numerically using an iterative algorithm and discuss convergence of the method depending on the problem parameters. In the analysis of the solution, special attention is paid to its behaviour near both ends of the process zone. Qualitative analysis was performed to determine admissible values of the process zone's length for which equilibrium cracks exist.
|Number of pages||16|
|Journal||Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|Early online date||02 Sept 2019|
|Publication status||Published - 21 Oct 2019|
- Matrix factorization
- Process zone
- Wiener-Hopf method
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MATRIXASSAY : Novel Cell Migration Assay based on Microtissue Technology and Tissue-Specific Matrices
01 Jun 2016 → 31 May 2020
Project: Externally funded research