relation: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/3218/
title: Free vibration analysis of functionally graded shells using an edge-based smoothed finite element method
creator: Pham, Tien Dat
creator: Nguyen, Nam Hoang
creator: Pham, Quoc Hoa
creator: Do, Van Thom
creator: Nguyen, Dinh Duc
subject: Engineering Mechanics
description: An edge-based smoothed finite element method (ES-FEM) combined with the mixed interpolation of tensorial components technique (MITC) for triangular elements (ESMITC3) for vibration analyses of functionally graded shells is investigated in this work. In the formulation of the ES-MITC3, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains that formed by two adjacent MITC3 triangular shell elements sharing an edge. This strain smoothing technique can improve significantly the accuracy and  convergence of the original MITC3. The material properties of functionally graded shells are assumed to vary through the thickness direction by a power rule distribution of volume fractions of the constituents. The numerical examples demonstrated that the present ES-MITC3 method is free of shear locking and achieves the high accuracy compared to the exact solutions and others existing elements in the literature.
date: 2018-09-07
type: Conference or Workshop Item
type: PeerReviewed
identifier:   Pham, Tien Dat and Nguyen, Nam Hoang and Pham, Quoc Hoa and Do, Van Thom and Nguyen, Dinh Duc  (2018) Free vibration analysis of functionally graded shells using an edge-based smoothed finite element method.  In: 2018 Theme Meeting on Multiscale Modelling of Materials for Sustainable Development (ACCMS), 7-9 September 2018, Hanoi, Vietnam.    (In Press)