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Stress-driven nonlocal integral elasticity for axisymmetric nano-plates
International Journal of Engineering Science, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Marotti de Sciarra +2 more
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Finite Element Nonlocal Integral Elasticity Approach
2021In the current chapter, a finite element theory has been developed based on the nonlocal integral elasticity using Hamilton’s principle. Formulations have been derived using Euler-Bernoulli beam theory and classical plate theory in order to study the bending, buckling and vibration behavior of nanostructures.
Maysam Naghinejad +3 more
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Mathematics and Mechanics of Solids, 2021
Beam theories such as the Timoshenko beam theory are in agreement with the elasticity theory. However, due to the different nonlocal averaging processes, they are expected to yield different results in their nonlocal forms. In the present work, the free vibration behavior of nonlocal nanobeams is studied using the nonlocal integral Timoshenko beam ...
Hooman Danesh, Mahdi Javanbakht
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Beam theories such as the Timoshenko beam theory are in agreement with the elasticity theory. However, due to the different nonlocal averaging processes, they are expected to yield different results in their nonlocal forms. In the present work, the free vibration behavior of nonlocal nanobeams is studied using the nonlocal integral Timoshenko beam ...
Hooman Danesh, Mahdi Javanbakht
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On nonlocal integral models for elastic nano-beams
International Journal of Mechanical Sciences, 2017Abstract Nonlocal integral constitutive laws, for application to nano-beams, are investigated in a general setting. Both purely nonlocal and mixture models involving convolutions with averaging kernels are taken into account. Evidence of boundary effects is enlightened by theoretical analysis and numerical computations.
Romano, Giovanni +2 more
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Nonlocal integral elasticity analysis of beam bending by using finite element method
Structural Engineering and Mechanics, 2015In this study, a 2-D finite element formulation in the frame of nonlocal integral elasticity is presented. Subsequently, the bending problem of a nanobeam under different types of loadings and boundary conditions is solved based on classical beam theory and also 3-D elasticity theory using nonlocal finite elements (NL-FEM).
S A M Ghannadpour, H R Ovesy
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Longitudinal and torsional vibrations of size-dependent rods via nonlocal integral elasticity
International Journal of Mechanical Sciences, 2017Abstract The size-dependent longitudinal and torsional dynamic problems for small-scaled rods are modeled by utilizing an integral formula of two-phase nonlocal theory. The energies diffused from surrounding particles in a reference domain can be taken into account in the rod model by using the two-phase nonlocal theory, which depends on the internal
Xiaowu Zhu
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Contribution of nonlocal integral elasticity to modified strain gradient theory
The European Physical Journal Plus, 2021The nonlocal integral elasticity and the modified strain gradient theory are consistently integrated in the framework of the nonlocal modified gradient theory of elasticity. The equivalent differential formulation of the constitutive law, equipped with appropriate nonstandard boundary conditions, is introduced.
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Beam Buckling Analysis by Nonlocal Integral Elasticity Finite Element Method
International Journal of Structural Stability and Dynamics, 2016In this study, a finite element method (FEM) based on the size dependent nonlocal integral elasticity theory is implemented for buckling analysis of nanoscaled beams with various boundary conditions. The method is based on the principle of total potential energy.
Taghizadeh, M. +2 more
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Nonlocal elasticity defined by Eringen’s integral model: Introduction of a boundary layer method
International Journal of Solids and Structures, 2014 AbstractIn this paper we consider a nonlocal elasticity theory defined by Eringen’s integral model and introduce, for the first time, a boundary layer method by presenting the exponential basis functions (EBFs) for such a class of problems. The EBFs, playing the role of the fundamental solutions, are found so that they satisfy the governing equations ...
B Boroomand
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International Journal of Structural Stability and Dynamics, 2022
Previously it was shown that nonlocal piezoelectric differential models will lead to inconsistent bending response for Euler–Bernoulli beams under different loadings and boundary conditions. In this paper, the general strain- and stress-driven two-phase local/nonlocal integral piezoelectric models are applied to analyze the elastic buckling and free ...
Ren, Yanming, Qing, Hai
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Previously it was shown that nonlocal piezoelectric differential models will lead to inconsistent bending response for Euler–Bernoulli beams under different loadings and boundary conditions. In this paper, the general strain- and stress-driven two-phase local/nonlocal integral piezoelectric models are applied to analyze the elastic buckling and free ...
Ren, Yanming, Qing, Hai
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