Numerical factorization of a matrix-function with exponential factors in an anti-plane problem for a crack with process zone

P. Livasov*, G. Mishuris

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

6 Dyfyniadau (Scopus)
85 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

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.

Iaith wreiddiolSaesneg
Rhif yr erthygl20190109
Nifer y tudalennau16
CyfnodolynPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Cyfrol377
Rhif cyhoeddi2156
Dyddiad ar-lein cynnar02 Medi 2019
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 21 Hyd 2019

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