Geometrically nonlinear analysis of functionally graded plates using isogeometric analysis

Published on Apr 15, 2015in Engineering Computations1.322
· DOI :10.1108/EC-09-2013-0220
Shuohui Yin18
Estimated H-index: 18
(Hohai University),
Tiantang Yu32
Estimated H-index: 32
(Hohai University)
+ 1 AuthorsMinh N. Nguyen29
Estimated H-index: 29
(RUB: Ruhr University Bochum)
Sources
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 Karman 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 geometricall...
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