Journal ArticleDOI
On wave propagation of porous nanotubes
TLDR
In this paper, an analytic model of porous nanotubes for the wave propagation analysis is formulated with the help of the nonlocal strain gradient theory, and the dispersion relations between phase velocity and wave number are determined by solving an eigenvalue problem.About:
This article is published in International Journal of Engineering Science.The article was published on 2018-09-01. It has received 63 citations till now. The article focuses on the topics: Dispersion relation & Wave propagation.read more
Citations
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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
On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam
M.H. Jalaei,Ӧ. Civalek +1 more
TL;DR: In this paper, the porosity-dependent material properties of the porous FG nanobeam are described via a modified power-law function, which is considered based on the Kelvin-Voigt model.
Journal ArticleDOI
A review on the mechanics of nanostructures
TL;DR: In this paper, the nonlocal elasticity and nonlocal strain gradient elasticity have been employed to estimate the mechanical behavior of nanostructures, and the results of size-dependent wave propagation analyses are discussed.
Journal ArticleDOI
Nonlinear bending and vibration analysis of functionally graded porous tubes via a nonlocal strain gradient theory
TL;DR: In this paper, the nonlinear bending and vibrational characteristics of porous tubes are analyzed for the first time within the framework of the nonlocal strain gradient theory, a size-dependent model for the tubes with radial inhomogeneity is formulated.
Journal ArticleDOI
Galerkin’s approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions
TL;DR: For the first time, buckling behavior of functionally graded (FG) nanoplates made of anisotropic material (beryllium crystal as a hexagonal material) is investigated and the size-dependent behavior of nanostructured systems is studied for buckling response of the graded anisotrop material.
References
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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
Second gradient of strain and surface-tension in linear elasticity
TL;DR: In this article, a linear theory of deformation of an elastic solid was formulated, in which the potential energy-density is a function of the strain and its first and second gradients.
Journal ArticleDOI
Thermomechanical analysis of functionally graded cylinders and plates
J. N. Reddy,C. D. Chin +1 more
TL;DR: In this paper, the dynamic thermoelastic response of functionally graded cylinders and plates is studied, and a finite element model of the formulation is developed, where the heat conduction and the thermo-elastic equations are solved for a functionally graded axisymmetric cylinder subjected to thermal loading.
Journal ArticleDOI
A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
C.W. Lim,G. Zhang,J. N. Reddy +2 more
TL;DR: In this paper, a higher-order non-local strain gradient elasticity model is proposed, which is based on the nonlocal effects of the strain field and first gradient strain field.
Journal ArticleDOI
On the role of gradients in the localization of deformation and fracture
TL;DR: In this paper, the role of higher order strain gradients in the localization of plastic flow, the formation and propagation of deformation bands, and the determination of the structure of the crack tip is given.
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On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
C.W. Lim,G. Zhang,J. N. Reddy +2 more