Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeometric analysis

Thai, Son, Thai, Huu-Tai, Vo, Thuc and Reddy, J.N. (2017) Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeometric analysis. Engineering Structures, 150. pp. 905-917. ISSN 0141-0296

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Thai et al - Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeometric analysis AAM.pdf - Accepted Version
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Official URL: http://dx.doi.org/10.1016/j.engstruct.2017.07.073

Abstract

The present study uses the isogeometric analysis (IGA) to investigate the post-buckling behavior of functionally graded (FG) microplates subjected to mechanical and thermal loads. The modified a strain gradient theory with three length scale parameters is used to capture the size effect. The Reddy third-order shear deformation plate theory with the von Kámán nonlinearity (i.e., small strains and moderate rotations) is employed to describe the kinematics of the microplates. Material variations in the thickness direction of the plate are described using a rule of mixtures. In addition, material properties are assumed to be either temperature-dependent or temperature-independent. The governing equations are derived using the principle of virtual work, which are then discretized using the IGA approach, whereby a C2-continuity requirement is fulfilled naturally and efficiently. To trace the post-buckling paths, Newton’s iterative technique is utilized. Various parametric studies are conducted to examine the influences of material variations, size effects, thickness ratios, and boundary conditions on the post-buckling behavior of microplates.

Item Type: Article
Uncontrolled Keywords: Isogeometric analysis, Post-buckling, Thermal effect, Modified strain gradient theory, Microplate, Functionally graded plate
Subjects: H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Paul Burns
Date Deposited: 18 Sep 2019 17:09
Last Modified: 11 Oct 2019 13:16
URI: http://nrl.northumbria.ac.uk/id/eprint/40740

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