Nonlinear free vibrations analysis of geometrically imperfect FG nano-beams based on stress-driven nonlocal elasticity with initial pretension force
Sign Up to like & getrecommendations! Published in 2021 at "Composite Structures"
DOI: 10.1016/j.compstruct.2020.112856
Abstract: Abstract Size-dependent flexural nonlinear free vibrations of geometrically imperfect straight Bernoulli-Euler functionally graded nano-beams are investigated by the stress-driven nonlocal integral model (SDM). By using the Galerkin method, the governing equations is reduced to a… read more here.
Keywords: nonlinear free; free vibrations; stress driven; nano beams ... See more keywords
Constitutive boundary conditions for nonlocal strain gradient elastic nano-beams
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DOI: 10.1016/j.ijengsci.2018.05.009
Abstract: Abstract Nonlocal strain gradient integral model of elasticity, extension of the fully nonlocal integral law, is widely adopted to assess size effects in nano-beams. The bending moment is sum of convolutions of elastic curvature and… read more here.
Keywords: strain gradient; nonlocal strain; nano beams; boundary conditions ... See more keywords
Buckling loads of nano-beams in stress-driven nonlocal elasticity
Sign Up to like & getrecommendations! Published in 2019 at "Mechanics of Advanced Materials and Structures"
DOI: 10.1080/15376494.2018.1501523
Abstract: Abstract Size-dependent buckling of compressed Bernoulli-Euler nano-beams is investigated by stress-driven nonlocal continuum mechanics. The nonlocal elastic strain is obtained by convoluting the stress field with a suitable smoothing kernel. Incremental equilibrium equations are established… read more here.
Keywords: elasticity; driven nonlocal; stress driven; nano beams ... See more keywords
Nonlocal strain gradient beam model for nonlinear secondary resonance analysis of functionally graded porous micro/nano-beams under periodic hard excitations
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DOI: 10.1080/15397734.2019.1624176
Abstract: Abstract Functionally graded porous materials (FGPMs) have a wide range of applications as hollow members in biomedical and aeronautical engineering. In the FGPMs, the porosity is varied over the material volume because of the density… read more here.
Keywords: strain gradient; functionally graded; micro nano; nano beams ... See more keywords
Nonlinear flexure of Timoshenko–Ehrenfest nano-beams via nonlocal integral elasticity
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DOI: 10.1140/epjp/s13360-020-00661-9
Abstract: Nonlinear flexural behavior of elastic nano-beams under static loads is investigated in the framework of the Eringen’s nonlocal integral elasticity. The integro-differential and boundary conditions of equilibrium for inflected Timoshenko–Ehrenfest elastic beams with von Karman… read more here.
Keywords: nonlinear flexure; timoshenko ehrenfest; integral elasticity; nonlocal integral ... See more keywords
Buckling Analysis of a Bi-Directional Strain-Gradient Euler–Bernoulli Nano-Beams
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DOI: 10.1142/s021945542050114x
Abstract: Investigated herein is the buckling of Euler–Bernoulli nano-beams made of bi-directional functionally graded material with the method of initial values in the frame of gradient elasticity. Since th... read more here.
Keywords: nano beams; bernoulli nano; buckling analysis; euler bernoulli ... See more keywords
Hygro-Thermal Vibrations of Porous FG Nano-Beams Based on Local/Nonlocal Stress Gradient Theory of Elasticity
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DOI: 10.3390/nano11040910
Abstract: In this manuscript the dynamic response of porous functionally-graded (FG) Bernoulli–Euler nano-beams subjected to hygro-thermal environments is investigated by the local/nonlocal stress gradient theory of elasticity. In particular, the influence of several parameters on both… read more here.
Keywords: local nonlocal; nonlocal stress; nano beams; gradient ... See more keywords