A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates

https://northumbria-test.eprints-hosting.org/id/document/265204

A review of continuum mechanics models for size-dependent analysis of beams and plates

Functionally graded graphene reinforced composite structures: a review

Nonlinear vibration of metal foam cylindrical shells reinforced with graphene platelets

Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory

Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory

In this paper, vibration characteristics of magneto-electro-thermo-elastic functionally graded (METE-FG) nanobeams is investigated in the framework of third order shear deformation theory. Magneto-electro-thermo-elastic properties of FG nanobeam are supposed to vary smoothly and continuously along the thickness based on power-law form. To capture the small size effects, Eringen’s nonlocal elasticity theory is adopted. By using the Hamilton’s principle, the nonlocal governing equations are derived and then solved analytically to obtain the natural frequencies of METE-FG nanobeams. The reliability of proposed model and analytical method in predicting natural frequencies of METE-FG nanobeam is evaluated with comparison to some cases in the literature. Numerical results are provided indicating the influences of several parameters including magnetic potential, external electric voltage, temperature fields, power-law exponent, nonlocal parameter and slenderness ratio on the frequencies of METE-FG nanobeams. It ...

Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment:

A nonlocal higher-order refined magneto-electro-viscoelastic beam model for dynamic analysis of smart nanostructures

This paper investigates buckling response of higher-order shear deformable nanobeams made of functionally graded piezoelectric (FGP) materials embedded in an elastic foundation. Material properties of FGP nanobeam change continuously in thickness direction based on power-law model. To capture small size effects, Eringen’s nonlocal elasticity theory is adopted. Employing Hamilton’s principle, the nonlocal governing equations of FGP nanobeams embedded in elastic foundation are obtained. To predict buckling behavior of embedded FGP nanobeams, the Navier-type analytical solution is applied to solve the governing equations. Numerical results demonstrate the influences of various parameters such as elastic foundation, external electric voltage, power-law index, nonlocal parameter and slenderness ratio on the buckling loads of size-dependent FGP nanobeams.

Mohammad Reza Barati

Papers

A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates

Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory

Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment:

A nonlocal higher-order refined magneto-electro-viscoelastic beam model for dynamic analysis of smart nanostructures

Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium