Geometrically nonlinear analysis of functionally graded plates using isogeometric analysis
Abstract
Purpose
The purpose of this paper is to propose an efficient and accurate numerical model that employs isogeometric analysis (IGA) for the geometrically nonlinear analysis of functionally graded plates (FGPs). This model is utilized to investigate the effects of boundary conditions, gradient index, and geometric shape on the nonlinear responses of FGPs.
Design/methodology/approach
A geometrically nonlinear analysis of thin and moderately thick functionally graded ceramic-metal plates based on IGA in conjunction with first-order shear deformation theory and von Kármán strains is presented. The displacement fields and geometric description are approximated with nonuniform rational B-splines (NURBS) basis functions. The Newton-Raphson iterative scheme is employed to solve the nonlinear equation system. Material properties are assumed to vary along the thickness direction with a power law distribution of the volume fraction of the constituents.
Findings
The present model for analysis of the geometrically nonlinear behavior of thin and moderately thick FGPs exhibited high accuracy. The shear locking phenomenon is avoided without extra numerical efforts when cubic or high-order NURBS basis functions are utilized.
Originality/value
This paper shows that IGA is particularly well suited for the geometrically nonlinear analysis of plates because of its exact geometrical modelling and high-order continuity.
Keywords
Acknowledgements
This work was supported by Jiangsu Province Graduate Students Research and Innovation Plan (Grant No. CXZZ13_023) and the National Natural Science Foundation of China (Grant No. 51179063). Tinh Quoc Bui would like to acknowledge the support of the JSPS program for his research fellowship. The authors would like to thank anonymous reviewers for their valuable and constructive comments.
Citation
Yin, S., Yu, T., Bui, T.Q. and Nguyen, M.N. (2015), "Geometrically nonlinear analysis of functionally graded plates using isogeometric analysis", Engineering Computations, Vol. 32 No. 2, pp. 519-558. https://doi.org/10.1108/EC-09-2013-0220
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited