Numerical Computation of Complex Stress Intensity Factors of Interface Cracks in Bi-Materials Based on Photoelastic Theory

Abstract:

This paper presents a new numerical method for obtaining the complex stress intensity factor with an interface crack in bi-materials using photoelastic isochromatic fringe numbers N. The theoretical solution of stress field at the crack tip was deduced from Muskhelishvilis stress function and an undetermined term σ₀ which is a function of material properties was added to this theoretical solution. A partial differential iterative equation with fast convergence was formed by applying the photoelastic theory. The complex stress intensity factor K=K₁+iK₂ and σ₀ were obtained by Newton-Raphson iteration method and K domain was discussed. The simulant photoelastic isochromatic fringe pattern could be generated through image processing and numerical calculation according to K and σ₀. The simulant isochromatic fringe pattern accords with experimental photoelastic isochromatic fringe pattern, so it is practicable for this numerical method of obtaining the complex stress intensity factor.

• Periodical: Applied Mechanics and Materials (Volumes 444-445)
• Pages: 50-54
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.444-445.50
• Online since: October 2013
• Authors: Peng Cheng Li, Bang Cheng Yang
• Keywords: Bi-Materials, Complex Stress Intensity Factor, Interface Crack, K Domain, Photoelastic Isochromatic Fringe

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