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Steel and Composite Structures Volume 54, Number 3, February 10 2025 , pages 241-250 DOI: https://doi.org/10.12989/scs.2025.54.3.241 |
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Crack propagation in functionally graded porous plates by enriched Petrov-Galerkin natural element method |
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J.R. Cho
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| Abstract | ||
| Enriched meshfree methods have been effectively used to predict the stress intensity factors (SIFs) and crack trajectories for homogeneous structures, but their applications to heterogenous materials were rarely reported. In this context, an enriched Petrov-Galerkin natural element method (PG-NEM) is introduced to simulate and examine the crack growth in 2-D heterogeneous functionally graded (FG) porous plates. The global displacement is approximated using Laplace interpolation (L/I) functions and enriched by introducing the crack-tip singular displacement and stress fields. The mixed-mode SIFs of FG plates characterized by the spatially varying elastic modulus are computed by the modified interaction integral method, and the crack trajectories are predicted by the maximum principal stress (MPS) criterion and the equivalent mode-I SIF. The advantage of proposed method is verified by comparing with the unriched PG-NEM and ANSYS. It is found that the prediction accuracy in crack trajectory is remarkably improved such that the crack trajectory of present method coincides well with one of ANSYS. Moreover, the present enriched method successfully simulates the crack trajectories of FG plates with the porosity as well as the spatially varying elastic modulus, and it is found that the crack growth characteristics are remarkably influenced by these parameters. | ||
| Key Words | ||
| 2-D enriched PG-NEM; crack growth length; crack propagation trajectory; crack propagation; exponentially varying elastic modulus; functionally graded porous plates; porosity distribution | ||
| Address | ||
| J.R. Cho: Department of Naval Architecture and Ocean Engineering, Hongik University, Sejong 30016, Korea | ||