Journal ArticleDOI
Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium
TLDR
In this paper, the buckling response of higher-order shear deformable nanobeams made of functionally graded piezoelectric (FGP) materials embedded in an elastic foundation was investigated.Abstract:
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.read more
Citations
More filters
Journal ArticleDOI
A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates
TL;DR: In this article, wave propagation analysis of an inhomogeneous functionally graded (FG) nanoplate subjected to nonlinear thermal loading is investigated by the means of nonlocal strain gradient theory.
Journal ArticleDOI
Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory
TL;DR: In this paper, the damping vibration characteristics of hygro-thermally affected functionally graded (FG) viscoelastic nanobeams embedded in a nonlocal strain gradient elasticity theory are investigated.
Journal ArticleDOI
A nonlocal higher-order refined magneto-electro-viscoelastic beam model for dynamic analysis of smart nanostructures
TL;DR: In this article, a nonlocal higher-order refined magneto-electro-viscoelastic beam model for vibration analysis of smart nanostructures under different boundary conditions is presented.
Journal ArticleDOI
A nonlocal strain gradient refined beam model for buckling analysis of size-dependent shear-deformable curved FG nanobeams
TL;DR: In this article, the buckling characteristics of a curved functionally graded (FG) nanobeam based on nonlocal strain gradient elasticity theory accounting the stress for not only the nonlocal stress field but also the strain gradients stress field were investigated.
Journal ArticleDOI
New 2D and quasi-3D shear deformation theories for free vibration of functionally graded plates on elastic foundations
TL;DR: In this article, a two-dimensional and quasi-three-dimensional shear deformation model is proposed to model the free vibration of FG plates resting on elastic foundations using a new shear strain shape function.
References
More filters
Journal ArticleDOI
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
TL;DR: In this article, the integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels.
Journal ArticleDOI
On nonlocal elasticity
TL;DR: In this article, a theory of non-local elasticity is presented via the vehicles of global balance laws and the second law of thermodynamics via the use of a localized Clausius-Duhem inequality and a variational statement of Gibbsian global thermodynamics.
Journal ArticleDOI
Nonlocal polar elastic continua
TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.
Journal ArticleDOI
Free vibration characteristics of a functionally graded beam by finite element method
TL;DR: In this paper, the dynamic characteristics of functionally graded beam with material graduation in axially or transversally through the thickness based on the power law are presented. But the model is more effective for replacing the non-uniform geometrical beam with axially and transversely uniform geometrically graded beam.
Journal ArticleDOI
Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories
TL;DR: In this article, the fundamental frequency analysis of functionally graded (FG) beams having different boundary conditions is analyzed within the framework of the classical, the first-order and different higher-order shear deformation beam theories.