2007 年 10 巻 p. 187-192
A coupling of the traditional finite element method (FEM) with the recently developed scaled boundary finite element method (SBFEM) is applied for analyzing two-dimensional (2D) linear elastic fracture mechanics problems. Since shape functions of SBFEM are compatible with finite element shape functions and no discontinuity occurs across the interface, the FEM can be coupled with SBFEM without any special treatment that require for the coupling with others methods. The SBFEM has an ability to analytically compute stress and displacement field of singularities region at the crack-tip more accurately without any a priori assumptions. The SBFEM was employed for the modelling of near cracks region, where their capabilities can be exploited to the greatest benefit, and the FEM for areas away from cracks, where no singularities in the stress fields are expected to arise. The effectiveness of the proposed coupled method was examined by computing the mixed mode SIFs and T-stress in 2D cracked structures. The computed results are in excellent agreement with those obtained from existing numerical methods.
