Abstract Crack is the key factor of structures for the normal operation. A superposed element method(SEM) is proposed for crack analysis. Firstly,the structure containing cracks is divided into two independent meshes. One is the global mesh without cracks,and the other is the local mesh of the crack together with its adjacent zone. Then,the global mesh and the local mesh are superposed together;the finite element format is adopted for the local mesh. Outside of the coverage of the local mesh,the finite element format is adopted for the complete elements;and the numerical manifold technology is adopted for the incomplete elements on the basis of the global mesh. Finally,in order to couple with the global mesh,the penalty stiffness coefficients are adopted at the boundary of local mesh. The case studies show that the preprocessing of the SEM is quite simple,and its calculation precision is relatively high. The proposed method is suitable for the dynamic simulation of crack propagation process.
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Received: 26 December 2011
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