Geometrically nonlinear analysis of functionally graded plates using isogeometric analysis. Issue 2 (20th April 2015)

• Record Type: Journal Article
• Authors: Yin, Shuohui; Yu, Tiantang; Bui, Tinh Quoc; Nguyen, Minh Ngoc
• Is Part Of: Engineering computations. Volume 32:Issue 2(2015)
• Page Start: 519
• Page End: 558
• Publication Date: 2015-04-20
• Subjects: Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-09-2013-0220
• Languages: English
• ISSNs: 0264-4401

Abstract

<abstract> <title> <x content-type="archive" xml:space="preserve">Abstract</x> </title> <sec> <title content-type="abstract-heading">Purpose</title> <p> – 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. </p> </sec> <sec> <title content-type="abstract-heading">Design/methodology/approach</title> <p> – 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. </p> </sec> <sec> <title content-type="abstract-heading">Findings</title> <p> – 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. </p> </sec> <sec> <title content-type="abstract-heading">Originality/value</title> <p> – 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.</p> </sec> </abstract>