Abstract
Most of numerical studies on the crack propagation have dealt with homogeneous materials using FEM. In this context, the purpose of current study is to introduce a numerical method for simulating the crack propagation in 2-D functionally graded materials (FGMs) by an enriched Petrov-Galerkin natural element method (PG-NEM). The displacement field is basically approximated in terms of Laplace interpolation functions in NEM, but it is enriched by the near-tip singular field. Whether the crack is propagated or not is judged in terms of the equivalent mode-I SIF and the fracture toughness. And, the crack propagation direction is predicted by the maximum principal stress (MTS) criterion. Two numerical examples are presented, one for the validation of proposed method and the other for the parametric investigation of crack trajectory in FGMs. It is justified that the enriched PG-NEM successfully and accurately predicts the crack trajectories in FGMs. And, it is found that the power index of Young’s modulus of FGMs influences the crack propagation length.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
