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Simulation of Crack Propagation in Functionally Graded Materials Under Mixed-Mode and Non-Proportional Loading

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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.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL, 61801, USA

    Jeong-Ho Kim & Glaucio H. Paulino

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  1. Jeong-Ho Kim
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  2. Glaucio H. Paulino
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Kim, JH., Paulino, G.H. Simulation of Crack Propagation in Functionally Graded Materials Under Mixed-Mode and Non-Proportional Loading. Mechanics and Materials in Design 1, 63–94 (2004). https://doi.org/10.1023/B:MAMD.0000035457.78797.c5

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  • DOI: https://doi.org/10.1023/B:MAMD.0000035457.78797.c5

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