Mixed-Mode Crack Propagation in Functionally Graded Materials


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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.



Materials Science Forum (Volumes 492-493)

Edited by:

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

Online since:

August 2005




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