Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 79, Issue -, Pages 1-9Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2015.11.001
Keywords
Element-free kp-Ritz method; Nonlinear large deformation; SLGSs; Nonlocal elasticity theory
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Funding
- Research Grants Council of the Hong Kong Special Administrative Region, China [9042047, CityU 11208914]
- National Natural Science Foundation of China [11402142, 51378448]
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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. (C) 2015 Elsevier Ltd. All rights reserved.
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