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Dislocations in nonlocal simplified strain gradient elasticity: Eringen meets Aifantis
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On torsion of nonlocal Lam strain gradient FG elastic beams [PDF]
Abstract The nonlocal strain gradient theory of elasticity is the focus of numerous studies in literature. Eringen’s nonlocal integral convolution and Lam’s strain gradient model are unified by a variational methodology which leads to well-posed structural problems of technical interest. The proposed nonlocal Lam strain gradient approach is presented
Raffaele Barretta +2 more
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Bending and buckling of nonlocal strain gradient elastic beams
Composite Structures, 2017Abstract Featured by the two material length parameters in the nonlocal strain gradient theory, it is still unknown that what are the boundary conditions of nonlocal strain gradient beams, since the equations of motion and boundary conditions of these beam models appear in the same form as those of the classical ones.
Xiao-Jian Xu, Zheng Ma
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A physically-based nonlocal strain gradient theory for crosslinked polymers
International Journal of Mechanical Sciences, 2023Yiyuan Jiang, Yujin Hu
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Strain gradient nonlocal Biot poromechanics
International Journal of Engineering Science, 2020Abstract Experimental observation demonstrates that both negative and positive dispersion relations are possible for porous media, which classical Biot theory fails to predict and interpret. The present paper establishes a higher-order strain gradient nonlocal poroelasticity considering both the size effects and heterogeneity structure effects to ...
L.H. Tong +4 more
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Size-dependent vibrational behavior of functionally graded (FG) Timoshenko nano-beams is investigated by strain gradient and stress-driven nonlocal integral theories of elasticity.
Raffaele Barretta +2 more
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Nonlinear forced vibrations of nonlocal strain gradient microbeams
Mechanics Based Design of Structures and Machines, 2020This paper investigates nonlinear forced vibrations of homogeneous Euler-Bernoulli microbeams with clamped-clamped boundary conditions.
Amin Vahidi-Moghaddam +4 more
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Closed form solution for a nonlocal strain gradient rod in tension
International Journal of Engineering Science, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaowu Zhu
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Generalized thermoelasticity model of nonlocal strain gradient Timoshenko nanobeams
Archives of Civil and Mechanical Engineering, 2021The aim of this study is to establish a thorough model for appraisal of size-dependent thermoelastic vibrations of Timoshenko nanobeams by capturing small-scale effect on both structural and thermal fields. With the intention of incorporating size effect within motion and heat conduction equations, nonlocal strain gradient theory (NSGT) as well as ...
Xuejie Yue +2 more
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International Journal of Structural Stability and Dynamics, 2021
This paper is concerned with studying the size-dependent nonlinear dynamic pull-in instability and vibration of functionally graded Euler–Bernoulli nanobeams (FG-EBNs) with the von Kármán hypothesis based on the nonlocal strain gradient theory (NLSGT). To this end, the partial differential equation (PDE) is developed by Hamilton’s principle considering
Hosseini, S. M. J. +3 more
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This paper is concerned with studying the size-dependent nonlinear dynamic pull-in instability and vibration of functionally graded Euler–Bernoulli nanobeams (FG-EBNs) with the von Kármán hypothesis based on the nonlocal strain gradient theory (NLSGT). To this end, the partial differential equation (PDE) is developed by Hamilton’s principle considering
Hosseini, S. M. J. +3 more
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