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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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Acta Mechanica, 2018
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C. Chr. Koutsoumaris, K. G. Eptaimeros
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C. Chr. Koutsoumaris, K. G. Eptaimeros
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Isogeometric analysis of Mindlin nanoplates based on the integral formulation of nonlocal elasticity
Multidiscipline Modeling in Materials and Structures, 2018Purpose It has been revealed that application of the differential form of Eringen’s nonlocal elasticity theory to some cases (e.g. cantilevers) leads to paradoxical results, and recourse must be made to the integral version of Eringen’s nonlocal model. The purpose of this paper, within the framework of integral form of Eringen’s nonlocal theory, is to
Amir Norouzzadeh +2 more
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Nonlinear flexure of Timoshenko–Ehrenfest nano-beams via nonlocal integral elasticity
The European Physical Journal Plus, 2020Nonlinear 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 nonlinear strains are established by using the minimum total potential ...
Mahdad Fazlali +3 more
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Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours
Continuum Mechanics and Thermodynamics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Romano, Giovanni +3 more
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Nonlocal integral elasticity analysis of nanobeams by employing finite element method
AIP Conference Proceedings, 2016This work revolves around the integral form of nonlocal theory of elasticity by employing finite element method to carry out applications for nanobeams. The integral approach of nonlocal theory takes advantage of deducing energy consistent formulas, while the differential approach does not and reveals inconsistencies giving rise to paradoxes.
K. G. Eptaimeros +2 more
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Stress-driven nonlocal integral model for Timoshenko elastic nano-beams
European Journal of Mechanics - A/Solids, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raffaele Barretta +3 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 ...
Abdollahi, R., Boroomand, B.
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023
AbstractUtilization of symmetrical or anti‐symmetrical condition could improve the calculation efficiency. In this paper, a mathematical formulation is proposed to deal with the symmetrical or anti‐symmetrical condition in an integral nonlocal stress gradient model (INSGM), which is transformed equivalently into differential form with constitutive ...
Chang Li, Hai Qing
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AbstractUtilization of symmetrical or anti‐symmetrical condition could improve the calculation efficiency. In this paper, a mathematical formulation is proposed to deal with the symmetrical or anti‐symmetrical condition in an integral nonlocal stress gradient model (INSGM), which is transformed equivalently into differential form with constitutive ...
Chang Li, Hai Qing
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