Analysis of Interaction of Multiple Cracks Based on Tip Stress Field Using Extended Finite Element Method

A new method is presented to study the interaction of multiple cracks, especially for areas near crack tips by using extended finite element method. In order track a geometric tracking technique proposed enriched elements and nodes along instead narrow band level set This allows accurately determine calculate enrichment values. constructing multicrack matrix, which involves numbering cracks solving global stiffness matrix. this approach, stress fields around can be studied. The integral employed propagation its direction calculating intensify factor. developed model has been coded in MATLAB environment validated against analytical solutions. application demonstrated through number examples. results illustrate influence as they approach each other.