Investigate the bending and free vibration responses of multi-directional functionally graded plates with variable thickness based on isogeometric analysis

  • Thai Son Department of Civil Engineering, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, District 10, Ho Chi Minh City, Vietnam
  • Lieu X. Qui Department of Civil Engineering, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, District 10, Ho Chi Minh City, Vietnam
Keywords: Third-order shear deformation plate theory, Multi-directional functionally graded materials, Isogeometric analysis, Linear analyses

Abstract

This study investigates the static bending and free vibration behaviour of Multi-directional Functionally Graded (MFGM) plates having a variable thickness. With this regard, the third-order shear deformation plate theory is used to describe the kinematic relation. Material properties of MFGM are assumed to be graded in spatial direction within the plate’s volume and the effective material properties are calculated based on the power-law approach. The governing equations are derived based on Hamilton’s principle and the Isogeometric Analysis (IGA) is employed as a discretization tool to develop system equations. Several numerical examples are conducted to verify the accuracy of the proposed approach and investigate the influence of different geometrical and material parameters on the behaviour of MFGM plates

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Published
29-09-2022
How to Cite
Son, T., & X. Qui, L. (2022). Investigate the bending and free vibration responses of multi-directional functionally graded plates with variable thickness based on isogeometric analysis. Journal of Science and Technology in Civil Engineering (STCE) - HUCE, 16(4), 10-29. Retrieved from https://stce.huce.edu.vn/index.php/en/article/view/2319
Section
Research Papers