Nonlocal continuum model for large deformation analysis of SLGSs using the kp-Ritz element-free method

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

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Original languageEnglish
Pages (from-to)1-9
Journal / PublicationInternational Journal of Non-Linear Mechanics
Online published10 Nov 2015
Publication statusPublished - Mar 2016


A geometrically nonlinear large deformation analysis of SLGSs is presented using the element-free kp-Ritz method. Classical plate theory (CLP) is applied to describe the geometrically nonlinear behavior of SLGSs. Nonlocal elasticity theory is incorporated into CLP to take the small-scale effect into consideration. The system nonlinear equations are derived from the Ritz procedure based on the total Lagrangian formulation. The modified Newton-Raphson method and arc-length continuation are employed to solve the nonlinear equations. The efficiency of the element-free kp-Ritz method is verified through comparison with results reported in previous research. Numerical cases are studied to examine the influence of boundary conditions, aspect ratio, side length and nonlocal parameters on the nonlinear large deformation behavior of SLGSs. An interesting phenomenon is observed in that the nonlocal parameter effect is related to the mathematical expression of the transverse load.

Research Area(s)

  • Element-free kp-Ritz method, Nonlinear large deformation, Nonlocal elasticity theory, SLGSs