Free vibrations of functionally graded polymer composite nanoplates reinforced with graphene nanoplatelets

2018 ◽  
Vol 81 ◽  
pp. 108-117 ◽  
Author(s):  
Mohammad Arefi ◽  
Elyas Mohammad-Rezaei Bidgoli ◽  
Rossana Dimitri ◽  
Francesco Tornabene
Keyword(s):  
Polymer Composite ◽  
Free Vibrations ◽  
Graphene Nanoplatelets ◽  
Functionally Graded

scholarly journals Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations

2019 ◽  
Vol 9 (8) ◽  
pp. 1580 ◽  
Author(s):  
Mohammad Arefi ◽  
Elyas Mohammad-Rezaei Bidgoli ◽  
Rossana Dimitri ◽  
Francesco Tornabene ◽  
J. N. Reddy
Keyword(s):  
Polymer Composite ◽  
Equations Of Motion ◽  
Shear Deformation Theory ◽  
Free Vibration Analysis ◽  
Free Vibrations ◽  
Graphene Nanoplatelets ◽  
Functionally Graded ◽  
Polar Coordinates ◽  
Geometrical Parameters ◽  
Size Dependent

This paper presents a free vibration analysis of functionally graded (FG) polymer composite curved nanobeams reinforced with graphene nanoplatelets resting on a Pasternak foundation. The size-dependent governing equations of motion are derived by applying the Hamilton’s principle and the differential law consequent (but not equivalent) to Eringen’s strain-driven nonlocal integral elasticity model equipped with the special bi-exponential averaging kernel. The displacement field of the problem is here described in polar coordinates, according to the first order shear deformation theory. A large parametric investigation is performed, which includes different FG patterns, different boundary conditions, but also different geometrical parameters, number of layers, weight fractions, and Pasternak parameters.

Modelling and Analysis of Piezolaminated Functionally Graded Polymer Composite Structures Reinforced with Graphene Nanoplatelets under Strong Electroelastic Fields

2018 ◽  
Vol 875 ◽  
pp. 3-8 ◽  
Author(s):  
Narasimha Rao Mekala ◽  
Rüdiger Schmidt ◽  
Kai Uwe Schröder
Keyword(s):  
Polymer Composite ◽  
Electric Fields ◽  
Composite Structures ◽  
Strong Electric Field ◽  
Constitutive Relations ◽  
Graphene Nanoplatelets ◽  
Functionally Graded ◽  
Electroelastic Fields ◽  
Uniform Dispersion ◽  
Piezoelectric Layers

This paper focuses on the electromechanical modelling and analysis of piezolaminated functionally graded polymer composites reinforced with graphene nanoplatelets considering strong electric field nonlinearities. Non-uniform distribution of reinforcement of graphene nanoplatelets is assumed along the thickness direction in multilayer polymer nanocomposites, whereas uniform dispersion GPLs in each layer is assumed. Modified Halpin-Tsai micromechanics is used to determine the effective Young’s modulus of GPLs considering the effects of geometry and dimension changes. Electro-elastic nonlinear constitutive relations are used to model the piezoelectric layers under strong applied electric fields. Through variational formulation, a finite element is derived to model and analyse the layered GPL/polymer composite structures. Various simulations are performed to study the effects of several parameters like distribution pattern and size of GPLs by applying actuation voltages to piezoelectric layers.

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