Crane hook stress analysis upon boundary interpolated reproducing kernel particle method

The mechanical property of a crane hook is analyzed by using the boundary interpolated reproducing kernel particle method (BIRKPM). It is deduced by combining the interpolated reproducing kernel particle (IRKP) method with the boundary integral equation (BIE) method which aims to solve elastic mechanics plane stress. In the BIRKPM, the shape function constructed by the IRKP method possesses interpolation character at any scatter node. Because of this property, the boundary conditions can be applied directly for the BIRKPM and the new method has high precision and less computing time. When using this method to analyze a laminated crane hook, the results could agree well with the results concluded from the finite element method, and this could prove the validity of the new method.