Nonlinear static and transient isogeometric analysis of functionally graded microplates based on the modified strain gradient theory

Research output: Contribution to journalArticle

Authors

  • Son Thai
  • Huu-Tai Thai
  • Thuc P. Vo
  • H. Nguyen-Xuan

External departments

  • La Trobe University
  • Ton Duc Thang University
  • China Medical University Taichung

Details

Original languageEnglish
Pages (from-to)598-612
Number of pages15
JournalEngineering Structures
Volume153
Early online date1 Nov 2017
DOIs
Publication statusPublished - 15 Dec 2017
Publication type

Research output: Contribution to journalArticle

Abstract

The objective of this study is to develop an effective numerical model within the framework of an isogeometric analysis (IGA) to investigate the geometrically nonlinear responses of functionally graded (FG) microplates subjected to static and dynamic loadings. The size effect is captured based on the modified strain gradient theory with three length scale parameters. The third-order shear deformation plate theory is adopted to represent the kinematics of plates, while the geometric nonlinearity is accounted based on the von Kármán assumption. Moreover, the variations of material phrases through the plate thickness follow the rule of mixture. By using Hamilton’s principle, the governing equation of motion is derived and then discretized based on the IGA technique, which tailors the non-uniform rational B-splines (NURBS) basis functions as interpolation functions to fulfil the C2-continuity requirement. The nonlinear equations are solved by the Newmark’s time integration scheme with Newton-Raphson iterative procedure. Various examples are also presented to study the influences of size effect, material variations, boundary conditions and shear deformation on the nonlinear behaviour of FG microplates.