Hygro-thermal vibration analysis of bilayer graphene sheet system via nonlocal strain gradient plate theory

2018 ◽  
Vol 40 (9) ◽  
Author(s):  
Farzad Ebrahimi ◽  
Mohammad Reza Barati
Keyword(s):  
Graphene Sheet ◽  
Strain Gradient ◽  
Vibration Analysis ◽  
Plate Theory ◽  
Bilayer Graphene ◽  
Thermal Vibration ◽  
Gradient Plate ◽  
Nonlocal Strain Gradient

Nonlocal stress-strain gradient vibration analysis of heterogeneous double-layered plates under hygro-thermal and linearly varying in-plane loads

2017 ◽  
Vol 24 (19) ◽  
pp. 4630-4647 ◽  
Author(s):  
Mohammad Reza Barati
Keyword(s):  
Strain Gradient ◽  
Vibration Analysis ◽  
Plate Theory ◽  
Nonlocal Parameter ◽  
Load Factor ◽  
Governing Equations ◽  
Layered Plates ◽  
Accurate Analysis ◽  
Thermal Environments ◽  
Nonlocal Strain Gradient

This paper develops a nonlocal strain gradient plate model for vibration analysis of double-layered graded nanoplates under linearly variable in-plane mechanical loads in hygro-thermal environments. For more accurate analysis of nanoplates, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. The double-layered nanoplate is modeled via a four-variable shear deformation plate theory needless of shear correction factors. Governing equations of a nonlocal strain gradient nanoplate on elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations. Effects of different factors such as in-plane loading, load factor, nonlocal parameter, length scale parameter, moisture percentage rise, temperature rise, elastic foundation, and boundary conditions on vibration characteristics of a double-layered nanoplate have been examined.

Vibration analysis of graphene sheets resting on the orthotropic elastic medium subjected to hygro-thermal and in-plane magnetic fields based on the nonlocal strain gradient theory

2017 ◽  
Vol 232 (13) ◽  
pp. 2469-2481 ◽  
Author(s):  
Farzad Ebrahimi ◽  
Mohammad Reza Barati
Keyword(s):  
Magnetic Field ◽  
Graphene Sheet ◽  
Strain Gradient ◽  
Vibration Analysis ◽  
Nonlocal Parameter ◽  
Strain Gradient Theory ◽  
Graphene Sheets ◽  
Gradient Theory ◽  
Governing Equations ◽  
Nonlocal Strain Gradient

This paper develops a nonlocal strain gradient plate model for vibration analysis of the graphene sheets under in-plane magnetic field and hygro-thermal environments. For more accurate analysis of the graphene sheets, the proposed theory contains two-scale parameters related to the nonlocal and strain gradient effects. The graphene sheet is modeled via a two-variable shear deformation plate theory needless of shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations for different boundary conditions. Effects of different factors such as moisture concentration rise, temperature rise, nonlocal parameter, length scale parameter, elastic foundation, and magnetic field on vibration characteristics of the graphene sheets are examined.

Vibration analysis of nonlocal strain gradient embedded single-layer graphene sheets under nonuniform in-plane loads

2017 ◽  
Vol 24 (20) ◽  
pp. 4751-4763 ◽  
Author(s):  
Farzad Ebrahimi ◽  
Mohammad Reza Barati
Keyword(s):  
Boundary Conditions ◽  
Graphene Sheet ◽  
Strain Gradient ◽  
Vibration Analysis ◽  
Nonlocal Parameter ◽  
Single Layer Graphene ◽  
Load Factor ◽  
Graphene Sheets ◽  
Governing Equations ◽  
Nonlocal Strain Gradient

This paper develops a nonlocal strain gradient plate model for vibration analysis of graphene sheets under nonuniform in-plane mechanical loads. For more accurate analysis of graphene sheets, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. Graphene sheet is modeled via a two-variable shear deformation plate theory needless of shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations for different boundary conditions. Effects of different factors such as in-plane loading, load factor, nonlocal parameter, length scale parameter, elastic foundation, and boundary conditions on vibration characteristics of graphene sheets are examined.

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