Size-dependant behaviour of functionally graded microplates based on the modified strain gradient elasticity theory and isogeometric analysis

Thai, Son, Thai, Huu-Tai, Vo, Thuc and Patel, Vipulkumar Ishvarbhai (2017) Size-dependant behaviour of functionally graded microplates based on the modified strain gradient elasticity theory and isogeometric analysis. Computers & Structures, 190. 219 - 241. ISSN 0045-7949

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Official URL: https://doi.org/10.1016/j.compstruc.2017.05.014

Abstract

This paper presents a robust numerical model, which takes into account both size-dependent and shear deformation effects, for the bending, buckling and free vibration analyses of functionally graded microplates. The size-dependent effect is captured by using the modified strain gradient elasticity theory with three length scale parameters, whilst the shear deformation effect is accounted by using the third-order shear deformation theory. The rule of mixture is employed to describe the distributions of material phrases through the plate thickness. By using Hamilton's principle, the governing equations are derived and then discretized by employing an Isogeometric Analysis (IGA) approach, where the Non-Uniform Rational B-Splines (NURBS) basis functions are adopted to meet the C 2 -continuity requirement. Physical mesh convergence and verification studies are performed to prove the accuracy and reliability of the present model. In addition, parametric studies are also carried out to investigate the size effect in conjunction with the influences of gradient index, shear deformation effect and boundary conditions on the responses of microplates.

Item Type: Article
Uncontrolled Keywords: Size effects; Modified strain gradient elasticity theory; Third-order shear deformation plate theory; Functionally graded materials; Isogeometric analysis
Subjects: H200 Civil Engineering
H300 Mechanical Engineering
H400 Aerospace Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Thuc Vo
Date Deposited: 23 Jun 2017 10:12
Last Modified: 23 Jun 2017 10:16
URI: http://nrl.northumbria.ac.uk/id/eprint/31178

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