Mixed-Mode Crack Propagation in Functionally Graded Materials
This paper presents numerical simulation of mixed-mode crack propagation in functionally graded materials by means of a remeshing algorithm in conjunction with the finite element method. Each step of crack growth simulation consists of the calculation of the mixedmode stress intensity factors by means of a non-equilibrium formulation of the interaction integral method, determination of the crack growth direction based on a specific fracture criterion, and local automatic remeshing along the crack path. A specific fracture criterion is tailored for FGMs based on the assumption of local homogenization of asymptotic crack-tip fields in FGMs. The present approach uses a user-defined crack increment at the beginning of the simulation. Crack trajectories obtained by the present numerical simulation are compared with available experimental results.
Omer Van der Biest, Michael Gasik, Jozef Vleugels
J. H. Kim and G. H. Paulino, "Mixed-Mode Crack Propagation in Functionally Graded Materials", Materials Science Forum, Vols. 492-493, pp. 409-414, 2005