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Longitudinal vibration of Bishop nanorods model based on nonlocal strain gradient theory
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2022In this study, the longitudinal vibration of nanorods is investigated in the framework of nonlocal strain gradient theory and Bishop's rod model for the first time in the literature. Unlike simple rod theory, radial deformation and radial inertia are considered in Bishop rod theory.
Ufuk Gul, Metin Aydogdu
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Nonlinear mechanics of nanoscale tubes via nonlocal strain gradient theory
International Journal of Engineering Science, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghayesh, M., Farajpour, A.
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A nonlocal strain gradient plasticity theory for finite deformations
International Journal of Plasticity, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Free vibrations of elastic beams by modified nonlocal strain gradient theory
International Journal of Engineering Science, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Apuzzo +4 more
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Applied Mathematics and Computation, 2018
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Arash Imani Aria, Hasan Biglari
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Arash Imani Aria, Hasan Biglari
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International Journal of Structural Stability and Dynamics, 2013
This paper presents the snap-through and bifurcation elastic stability analysis of nano-arch type structures with the Winkler foundation under transverse loadings by the strain gradient and stress gradient (nonlocal) theories. The equations of equilibrium are derived by using the variational method and virtual displacement theorem of minimum total ...
Kaviani, Fareed, Mirdamadi, Hamid Reza
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This paper presents the snap-through and bifurcation elastic stability analysis of nano-arch type structures with the Winkler foundation under transverse loadings by the strain gradient and stress gradient (nonlocal) theories. The equations of equilibrium are derived by using the variational method and virtual displacement theorem of minimum total ...
Kaviani, Fareed, Mirdamadi, Hamid Reza
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A coupled nonlinear nonlocal strain gradient theory for functionally graded Timoshenko nanobeams
Microsystem Technologies, 2020A coupled nonlinear nonlocal strain gradient theory (NSGT) is developed for functionally graded Timoshenko nanoscale (FGTN) beams. This highly nonlinear-scale-dependent continuum model is solved numerically for dynamical responses for the first time. Hamilton’s energy minimisation technique is used for rotation-equation of the nanobeam in addition to ...
Alireza Gholipour, Mergen H. Ghayesh
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Applied Mathematics and Computation, 2021
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Pham Toan Thang +2 more
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Pham Toan Thang +2 more
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On the Use of Nonlocal Strain Gradient Theory for Flexomagnetic Nanobeams
Volume 3: Advances in Thermal Technologies; Advances in Semiconductor Manufacturing; Clean Energy Technologies & Systems; Cyber Physical Systems + AI / MLAbstract Direct flexomagnetism transduces mechanical loads into magnetic effects in nanostructures. Structural models that account for flexomagnetic effect require accurate flexomagnetic coefficient for designing nanoelectromechanical systems (NEMS).
Lala Samprit Ray, Bishweshwar Babu
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Torsional vibration of nano-cone based on nonlocal strain gradient elasticity theory
The European Physical Journal Plus, 2017This paper investigates free torsional vibration behavior of a nonlinear nano-cone, based on the nonlocal strain gradient elasticity theory. The nano-cone is made of homogeneous and isotropic materials. Moreover, the cross-sectional area of the nano-cone varies in the longitudinal direction by a nonlinear function.
Mohsen Mahdavi Adeli +3 more
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