Nonlocal Elasticity Effect on Linear Vibration of Nano-circular Plate Using Adomian Decomposition Method [PDF]
Journal of Applied and Computational Mechanics, 2020 In this study, the small scale effect on the linear free-field vibration of a nano-circular plate has been investigated using nonlocal elasticity theory.
Mohammad Shishesaz +2 more
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Analytic solutions for free vibration analysis of laminated beams in three-dimensional statement [PDF]
EPJ Web of Conferences, 2019 In this research we consider free vibrations of laminated beams in terms of three-dimensional linear theory of elasticity. Analytic solutions for natural frequencies of laminated beams are obtained by using an asymptotic splitting method.
Golushko Sergey +2 more
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Gradient elasticity solutions of 2D nano-beams
Applications in Engineering Science, 2023 In this study, the exact analytical solutions of a two-dimensional linear homogeneous isotropic nano-beam in gradient elasticity are studied. Four different types of two-dimensional cantilever beams and related boundary conditions are considered.
Teoman Özer
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Thermal deformation of a long elastic strip
RUDN Journal of Engineering Research, 2021 A general method is proposed for the formulation and solution of temperature problems of the theory of elasticity for thin-walled bodies for a given temperature distribution with the preservation of the order of differential equations and the fulfilment ...
Evgeny M. Zveryaev
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Elastic-plastic analysis of shells by variational method on the basis of high-degree polynomials
Structural Mechanics of Engineering Constructions and Buildings, 2023 The purpose of the research is to develop a variational method for calculation of three-dimensional structures based on approximating functions with finite carriers of an arbitrary degree of approximation.
Farid S. Khayrullin, Oleg M. Sakhbiev
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Free Vibration Behavior of a Gradient Elastic Beam with Varying Cross Section
Shock and Vibration, 2014 Based on strain gradient elasticity theory, a finite element procedure is proposed for computation of natural frequencies for the microbeams of constant width and linear varying depth.
Mustafa Özgür Yayli
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On Finite Element Computations of Contact Problems in Micropolar Elasticity
Advances in Materials Science and Engineering, 2016 Within the linear micropolar elasticity we discuss the development of new finite element and its implementation in commercial software. Here we implement the developed 8-node hybrid isoparametric element into ABAQUS and perform solutions of contact ...
Victor A. Eremeyev +2 more
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Solution of the Thermoelastic Problem for a Two-Dimensional Curved Beam with Bimodular Effects
Mathematics, 2022 In classical thermoelasticity, the bimodular effect of materials is rarely considered. However, all materials will present, in essence, different properties in tension and compression, more or less.
Xiao-Ting He +3 more
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Couple stress 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 couple stress theory of elasticity have been developed.2-D theory is developed from general 2-D equations of linear couple stress elasticity using a special curvilinear system of coordinates related to the
Zozulya V.V.
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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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