Evaluation of mode Ⅲ stress intensity factors for bi-material notched bodies using the fractal-like finite element method

摘要

The fractal-like finite element method (FFEM) is extended to compute the stress intensity factors (SIFs) for bi-material notched bodies subject to anti-plane shear loading. The notched bodies are formed by bonding two materials together (isotropic-isotropic/isotropic-orthotropic). Also, a strain energy-based approach is developed and used to compute mode Ⅲ SIFs for a bi-material notch using standard finite element (FE) commercial packages for comparison with corresponding data produced using the FFEM. Various numerical results for bi-material crackedotched bodies under anti-plane shear are presented to demonstrate the accuracy and efficiency of the FFEM. Many new results for bi-material notched bodies are also introduced.