ORCID Profile
0000-0002-3560-7481
Current Organisation
University of Adelaide
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Publisher: Elsevier BV
Date: 11-2017
Publisher: World Scientific Pub Co Pte Ltd
Date: 22-02-2017
DOI: 10.1142/S0219876217500116
Abstract: A cell-based smoothed three-node Mindlin plate element (CS-MIN3) was recently proposed and proven to be robust for static and free vibration analyses of Mindlin plates. The method improves significantly the accuracy of the solution due to softening effect of the cell-based strain smoothing technique. In addition, it is very flexible to apply for arbitrary complicated geometric domains due to using only three-node triangular elements which can be easily generated automatically. However so far, the CS-MIN3 has been only developed for isotropic material and for analyzing intact structures without possessing internal cracks. The paper hence tries to extend the CS-MIN3 by integrating itself with functionally graded material (FGM) and enriched functions of the extended finite element method (XFEM) to give a so-called extended cell-based smoothed three-node Mindlin plate (XCS-MIN3) for free vibration analysis of cracked FGM plates. Three numerical ex les with different conditions are solved and compared with previous published results to illustrate the accuracy and reliability of the XCS-MIN3 for free vibration analysis of cracked FGM plates.
Publisher: Elsevier BV
Date: 08-2016
Publisher: Elsevier BV
Date: 12-2019
Publisher: Elsevier BV
Date: 02-2017
Publisher: Springer Science and Business Media LLC
Date: 18-11-2015
Publisher: Springer Science and Business Media LLC
Date: 21-01-2015
Publisher: International Institute of Acoustics and Vibration (IIAV)
Date: 12-2016
Publisher: Springer Science and Business Media LLC
Date: 02-07-2016
Publisher: Springer Singapore
Date: 04-09-2020
Publisher: Elsevier BV
Date: 02-2016
Publisher: Elsevier BV
Date: 08-2021
Publisher: Elsevier BV
Date: 10-2017
Publisher: Elsevier BV
Date: 12-2018
Publisher: Elsevier BV
Date: 09-2015
Publisher: World Scientific Pub Co Pte Lt
Date: 09-2018
DOI: 10.1142/S0219876218500457
Abstract: Proper generalized decomposition (PGD), a method looking for solutions in separated forms, was proposed recently for solving highly multidimensional problems. In the PGD, the unknown fields are constructed using separated representations, so that the computational complexity scales linearly with the dimension of the model space instead of exponential scaling as in standard grid-based methods. The PGD was proven to be effective, reliable and robust for some simple benchmark fluid–structure interaction (FSI) problems. However, it is very hard or even impossible for the PGD to find the solution of problems having complex boundary shapes (i.e., problems of fluid flow with arbitrary complex geometry obstacles). The paper hence further extends the PGD to solve FSI problems with arbitrary boundaries by combining the PGD with the immersed boundary method (IBM) to give a so-called immersed boundary proper generalized decomposition (IB-PGD). In the IB-PGD, a forcing term constructed by the IBM is introduced to Navier–Stokes equations to handle the influence of the boundaries and the fluid flow. The IB-PGD is then applied to solve Poisson’s equation to find the fluid pressure distribution for each time step. The numerical results for three problems are presented and compared to those of previous publications to illustrate the robustness and effectiveness of the IB-PGD in solving complex FSI problems.
Publisher: Springer Science and Business Media LLC
Date: 09-09-2017
Publisher: Elsevier BV
Date: 11-2015
Publisher: Informa UK Limited
Date: 12-02-2018
Publisher: Springer Singapore
Date: 11-10-2020
Location: No location found
No related grants have been discovered for Linh LE.