Abstract
The isogeometric analysis associated with a novel quasi-3D shear deformation theory is proposed to investigate size-dependent behaviours of functionally graded microplates. The modified couple stress theory with only one material length scale parameter is employed to effectively capture the size-dependent effects within the microplates. Meanwhile, the quasi-3D theory which is constructed from a novel seventh-order shear deformation refined plate theory with four unknowns is able to consider both shear deformations and thickness stretching effect without requiring shear correction factors. The NURBS-based isogeometric analysis is integrated to exactly describe the geometry and approximately calculate the unknown fields with higher-order derivative and continuity requirements. The proposed approach is successfully applied to study the static bending, free vibration and buckling responses of rectangular and circular functionally graded microplates with various types of boundary conditions in which some benchmark numerical examples are presented. A number of investigations are also conducted to illustrate the effects of the material length scale, material index, and aspect ratios on the responses of the microplates.
Highlights
Graded materials (FGMs) are composite materials formed of two or more constituent phases in which material properties vary smoothly within the structure
The bending, free vibration and buckling behaviours of functionally graded (FG) microplates based on the modified couple stress theory (MCST) and four-variable refined plate and quasi-3D theories are investigated using Isogeometric Analysis (IGA)
A brief review on non-uniform rational B-splines (NURBS) which serves as the basis functions of IGA will be presented. It is followed by a novel NURBS-based formulation for couple-stress microplate bending, free vibration and buckling that rely upon the refined plate theory and the quasi-3D theory
Summary
ADepartment of Mechanical and Construction Engineering, Northumbria University, Newcastle upon Tyne NE1 8ST, United Kingdom bDepartment of Computational Engineering, Vietnamese-German University, Binh Duong New City, Vietnam cLaboratory Soete, Faculty of Engineering and Architecture, Ghent University, 9000 Ghent, Belgium dFaculte des Sciences, de la Technologie et de la Communication, University of Luxembourg, Luxembourg eDepartment of Physical Therapy, Graduate Institute of Rehabilitation Science, China Medical University, Taichung 40402, Taiwan fCenter for Interdisciplinary Research in Technology (CIRTech), Ho Chi Minh University of Technology (HUTECH), Ho Chi Minh City 700000, Vietnam
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