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Helsing, J. and Peters, G. (1999) Integral Equation Methods and Numerical Solutions of Crack and Inclusion Problems in Planar Elastostatics. SIAM Journal on Applied Mathematics, 59, 965-982.

has been cited by the following article:

• TITLE: Mode Stresses for the Interaction between Straight and Curved Cracks Problem in Plane Elasticity

  AUTHORS: M. R. Aridi, N. M. A. Nik Long, Z. K. Eshkuvatov

  KEYWORDS: Hypersingular Integral Equation, Complex Variable Function Method, Stress Intensity Factor

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.5, April 25, 2014

  ABSTRACT: In this paper, the complex variable function method is used to obtain the hypersingular integral equations for the interaction between straight and curved cracks problem in plane elasticity. The curved length coordinate method and suitable quadrature rule are used to solve the integrals for the unknown function, which are later used to evaluate the stress intensity factor, SIF. Three types of stress modes are presented for the numerical results.