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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A simple shear deformation theory for nonlocal beams [PDF]
, 2018 In this paper, a simple beam theory accounting for shear deformation effects with one unknown is proposed for static bending and free vibration analysis of isotropic nanobeams.
Patel, Vipulkumar Ishvarbhai +3 more
core +2 more sources
Free Vibrations Analysis of Functionally Graded Rectangular Nano-plates based on Nonlocal Exponential Shear Deformation Theory [PDF]
Mechanics of Advanced Composite Structures, 2015 In the present study the free vibration analysis of the functionally graded rectangular nanoplates is investigated. The nonlocal elasticity theory based on the exponential shear deformation theory has been used to obtain the natural frequencies of the ...
Korosh Khorshidi +2 more
doaj +1 more source
Fractal and Fractional, 2022 This article develops a novel nonlocal theory of generalized thermoelastic material based on fractional time derivatives and Eringen’s nonlocal thermoelasticity. An ultra-short pulse laser heats the surface of the medium’s surrounding plane.
Aatef Hobiny, Ibrahim Abbas
doaj +1 more source
Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity [PDF]
, 2009 We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is ...
Duruk, Nilay +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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Influence of the nonlocal parameter on the transverse vibration of double-walled carbon nanotubes [PDF]
, 2015 A high-order nonlocal continuum beam model is proposed, which can be applied to study the transverse vibrations of double-walled carbon nanotubes (DWCNTs), including those that could have initial deformations due to defects or external actions.
Ambrosini, Ricardo Daniel +1 more
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Vibration of Timoshenko Beams Using Non-classical Elasticity Theories
Shock and Vibration, 2012 This paper presents a comparison among classical elasticity, nonlocal elasticity, and modified couple stress theories for free vibration analysis of Timoshenko beams.
J.V. Araújo dos Santos, J.N. Reddy
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The Cauchy Problem for a One Dimensional Nonlinear Peridynamic Model [PDF]
, 2008 This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions are discussed.
H.A. Erbay +16 more
core +2 more sources
Analysis of a micro piezoelectric vibration energy harvester by nonlocal elasticity theory
Advances in Mechanical Engineering, 2016 A theoretical model of a micro piezoelectric energy harvester is proposed based on the nonlocal elasticity theory, which is operated in the flexural mode for scavenging ambient vibration energy.
Hao Chen +3 more
doaj +1 more source