eprintid: 3218 rev_number: 9 eprint_status: archive userid: 354 dir: disk0/00/00/32/18 datestamp: 2018-12-12 15:12:23 lastmod: 2018-12-12 15:12:23 status_changed: 2018-12-12 15:12:23 type: conference_item metadata_visibility: show creators_name: Pham, Tien Dat creators_name: Nguyen, Nam Hoang creators_name: Pham, Quoc Hoa creators_name: Do, Van Thom creators_name: Nguyen, Dinh Duc creators_id: hoangnn@vnu.edu.vn creators_id: ducnd@vnu.edu.vn title: Free vibration analysis of functionally graded shells using an edge-based smoothed finite element method ispublished: inpress subjects: Mechanics divisions: fac_fema abstract: 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 date_type: published full_text_status: none pres_type: speech event_title: 2018 Theme Meeting on Multiscale Modelling of Materials for Sustainable Development (ACCMS) event_location: Hanoi, Vietnam event_dates: 7-9 September 2018 event_type: conference refereed: TRUE citation: 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)