Pham, Q.H. and Nguyen, T.-A. and Do, N.-T. and Tran, V.K. and Nguyen, M.-N. (2024) Static and vibration analyses of functionally graded porous shell structures by using an averaged edge/node-based smoothed MITC3 element. Computers and Mathematics with Applications, 153. pp. 56-70. ISSN 08981221
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In this paper, a combined scheme of edge/node-based smoothed finite element method (ENS-FEM) and the mixed interpolation of the tensorial components for the three-node triangular element (MITC3) named aENS-MITC3 is developed to investigate the static and free vibration for functionally graded (FG) porous shells. The effective material properties of FG porous shells are estimated using the rule of mixture, which incorporates an additional term for porosity in the through-thickness direction. The improved first-order shear deformation theory (FSDT) is used to accurately describe the shear stress distributing evenly throughout the thickness and is zero on the top and bottom surfaces of the doubly curved shell. Using Hamilton's principle, the governing equation of FG porous shells is established. The obtained numerical results of aENS-MITC3 are compared with other existing methods in the literature to show the effectiveness of the present method. Then, the effect of geometric parameters, porosity coefficients and power law indexes on the displacements and natural frequencies of FG porous curved shells are examined. © 2023 Elsevier Ltd
Item Type: | Article |
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Divisions: | Offices > Office of International Cooperation |
Identification Number: | 10.1016/j.camwa.2023.10.037 |
Uncontrolled Keywords: | Finite element method; Numerical methods; Shear deformation; Shear stress; Shells (structures); Vibration analysis, Average edge/node-based smoothed finite element method; Edge nodes; First-order shear deformation theory; Functionally graded; Functionally graded porous shell; Improved first-order shear deformation theory; MITC3 element; Node-based smoothed finite element methods; Porous shells; Strain smoothing techniques, Porosity |
Additional Information: | cited By 0 |
URI: | http://eprints.lqdtu.edu.vn/id/eprint/11005 |