The stress intensity factor calculation of cracked layered media subjected to unsymmetrical loading

D. Peng, R. Jones, P. Huang, B. Wu

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This paper uses a Fourier transform technique, which uses dislocation density functions, to solve the problem of layered media with finite cracks perpendicular to the interface. This approach reduces the problem to the solution of two coupled integral equations each with a singular kernel which are the solved using Cauchy-Chebyshev polynomials. Two specified loading cases that are symmetric loading and asymmetric loading were considered in this paper respectively. Their corresponding analytical solutions were obtained. With these solutions, the analytical solution of offset loading relative to the crack location can be easily obtained by simple superposition. This has potential applications for solving fracture problems in structures such as broken sidewalks, airport runways, etc. A simple example is used to demonstrate the method proposed in this paper. This paper is the only paper to consider fractures perpendicular to the interface in two layered structures, subjected to asymmetric loading. Furthermore, it is the first paper to illustrate how to account for the effect of off-centred loading for the layered structures with cracks.

Original languageEnglish
Article number102658
Number of pages13
JournalTheoretical and Applied Fracture Mechanics
Publication statusPublished - Oct 2020


  • Fourier transform
  • Singular integral equations
  • Stress intensity factors
  • Superposition

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