Nonlinear flexure mechanics of beams: stress gradient and nonlocal integral theory
Materials Research Express, 2021 In order to study the intrinsic size-effects, the stress gradient theory is implemented to a nano-scale beam model in nonlinear flexure. The nonlocal integral elasticity model is considered as a suitable counterpart to examine the softening behavior of ...
Mahdad Fazlali +2 more
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On the mechanics of FG nanobeams: A review with numerical analysis
Forces in Mechanics, 2023 Since the classical continuum theories are insufficient to account the small size effects of nanobeams, the nonlocal continuum theories such as Eringen's nonlocal elasticity theory, couple stress theory, strain gradient theory and surface elasticity ...
Atteshamuddin S. Sayyad +2 more
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The effect of small scale on the vibrational response of nano-column based on differential quadrature method [PDF]
Transport Phenomena in Nano and Micro Scales, 2016 The present paper deals with the dynamic behavior of nano-column subjected to follower force using the nonlocal elasticity theory. The nonlocal elasticity theory is used to analyze the mechanical behavior of nanoscale materials.
Amin Pourasghar +2 more
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Nonlocal Elasticity Response of Doubly-Curved Nanoshells [PDF]
Symmetry, 2020 In this paper, we focus on the bending behavior of isotropic doubly-curved nanoshells based on a high-order shear deformation theory, whose shape functions are selected as an accurate combination of exponential and trigonometric functions instead of the classical polynomial functions.
Mohammad Hassan Dindarloo +3 more
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Nonlocal Elasticity Effect on Linear Vibration of Nano-circular Plate Using Adomian Decomposition Method [PDF]
Journal of Applied and Computational Mechanics, 2020 In this study, the small scale effect on the linear free-field vibration of a nano-circular plate has been investigated using nonlocal elasticity theory.
Mohammad Shishesaz +2 more
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Pull-in Instability Analysis of a Nanocantilever Based on the Two-Phase Nonlocal Theory of Elasticity [PDF]
Journal of Applied and Computational Mechanics, 2022 This paper deals with the pull-in instability of cantilever nano-switches subjected to electrostatic and intermolecular forces in the framework of the two-phase nonlocal theory of elasticity.
Gennadi Mikhasev +2 more
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A nonlocal sinusoidal plate model for micro/nanoscale plates [PDF]
, 2014 A nonlocal sinusoidal plate model for micro/nanoscale plates is developed based on Eringen’s nonlocal elasticity theory and sinusoidal shear deformation plate theory.
Lee, Jaehong +3 more
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Axial and Torsional Free Vibrations of Elastic Nano-Beams by Stress-Driven Two-Phase Elasticity [PDF]
Journal of Applied and Computational Mechanics, 2019 Size-dependent longitudinal and torsional vibrations of nano-beams are examined by two-phase mixture integral elasticity. A new and efficient elastodynamic model is conceived by convexly combining the local phase with strain- and stress-driven purely ...
Andrea Apuzzo +5 more
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Derivation of the Camassa-Holm equations for elastic waves [PDF]
, 2015 In this paper we provide a formal derivation of both the Camassa-Holm equation and the fractional Camassa-Holm equation for the propagation of small-but-finite amplitude long waves in a nonlocally and nonlinearly elastic medium.
Erbay, Husnu Ata +3 more
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Nonlocal theory of curved rods. 2-D, high order, Timoshenko’s and Euler-Bernoulli models
Curved and Layered Structures, 2017 New models for plane curved rods based on linear nonlocal theory of elasticity have been developed. The 2-D theory is developed from general 2-D equations of linear nonlocal elasticity using a special curvilinear system of coordinates related to the ...
Zozulya V.V.
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