International Journal of Mechanics and Materials in Design, Vol. 1, No. 3, pp. 63-94, 2004
J.H. Kim and G.H. Paulino
Department of Civil & Environmental Engineering, University of Illinois at Urbana-Champaign,
Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL 61801, U.S.A.
Abstract
Automatic simulation of crack propagation in homogeneous and functionally graded materials is performed by means of a remeshing algorithm in conjunction with the finite element method. The crack propagation is performed under mixed-mode and non-proportional loading. Each step of crack growth simulation consists of calculation of mixed-mode stress intensity factors by means of a novel formulation of the interaction integral method, determination of crack growth direction based on a specific fracture criterion, and local automatic remeshing along the crack path. The present approach requires 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.
KEY WORDS: functionally graded material (FGM), fracture mechanics, stress intensity factors, interaction integral, two-state integral, finite element method (FEM), automatic crack propagation.