%A Tien Dat Pham
%A Nam Hoang Nguyen
%A Quoc Hoa Pham
%A Van Thom Do
%A Dinh Duc Nguyen
%T Free vibration analysis of functionally graded shells using an edge-based smoothed finite element method
%X 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.
%C Hanoi, Vietnam
%D 2018
%L SisLab3218