Journal ArticleDOI
An isogeometric approach for size-dependent geometrically nonlinear transient analysis of functionally graded nanoplates
TLDR
In this paper, a suitable and simple computational formulation based on Isogeometric Analysis (IGA) integrated with higher-order shear deformation theory (HSDT) is introduced for size-dependent geometrically nonlinear transient analysis of functionally graded material (FGM) nanoplates.Abstract:
In the present investigation, a suitable and simple computational formulation based on Isogeometric Analysis (IGA) integrated with higher-order shear deformation theory (HSDT) is introduced for size-dependent geometrically nonlinear transient analysis of functionally graded material (FGM) nanoplates. The material properties of FGM based on the Mori–Tanaka schemes and the rule of mixture are used. The nonlinear transient nonlocal governing equations approximated according to IGA based on HSDT, which satisfies naturally the higher-order derivatives continuity requirement in weak form of the FGM nanoplates, are formed using the von Karman strains and solved by Newmark time integration scheme. The effect of nonlocal approach on the behaviors of the FGM nanoplates with several volume fraction exponents is investigated. Several numerical results are presented to demonstrate the reliability of the proposed method.read more
Citations
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Journal ArticleDOI
A review on the mechanics of functionally graded nanoscale and microscale structures
Mergen H. Ghayesh,Ali Farajpour +1 more
TL;DR: In this article, a review of the mechanical properties of functionally graded nanoscale and micro-scale structures is presented, where various scale-dependent theories of elasticity for FG nanostructures such as FG nanobeams and nanoplates are explained.
Journal ArticleDOI
Porosity-dependent nonlinear transient responses of functionally graded nanoplates using isogeometric analysis
P. Phung-Van,P. Phung-Van,Chien H. Thai,Hung Nguyen-Xuan,Hung Nguyen-Xuan,M. Abdel Wahab,M. Abdel Wahab +6 more
TL;DR: In this article, the porosity-dependent nonlinear transient analysis of porous functionally graded (FG) nanoplates using isogeometric finite element approach was performed using a modified rule of mixture.
Journal ArticleDOI
Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams
Bekir Akgöz,Ömer Civalek +1 more
TL;DR: In this paper, thermal and shear deformation effects on the vibrational response of nonhomogeneous microbeams made of functionally graded (FG) materials are carried out, and the results are given together with other beam theories.
Journal ArticleDOI
Free vibration, buckling and bending analyses of multilayer functionally graded graphene nanoplatelets reinforced composite plates using the NURBS formulation
TL;DR: In this paper, a NURBS formulation based on the four-variable refined plate theory (RPT) for free vibration, buckling and static bending analyses of multilayer functionally graded graphene platelets reinforced composite (FG GPLRC) plates, for the first time, is proposed.
Journal ArticleDOI
An isogeometric approach of static and free vibration analyses for porous FG nanoplates
TL;DR: In this article, the porosity-dependent analysis of functionally graded nanoplates, which are made of two kinds of porous materials, based on isogeometric approach for the first time was presented.
References
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Average stress in matrix and average elastic energy of materials with misfitting inclusions
Trevor A. Mori,K Tanaka +1 more
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On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
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Journal ArticleDOI
A Simple Higher-Order Theory for Laminated Composite Plates
TL;DR: In this paper, a higher-order shear deformation theory of laminated composite plates is developed, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.