Nonlocal integral elasticity for third-order small-scale beams
Acta Mechanica, 2022 AbstractSmall-scale beams are basic structural components of miniaturized electro-mechanical systems whose design requires accurate modeling of size effects. In this research, the size-dependent behavior of nonlocal elastic beams is investigated by adopting the stress-driven elasticity theory.
Vaccaro M. S. +3 more
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Two Dimensional Nonlocal Elasticity Analysis by Local Integral Equation Method [PDF]
Computer Modeling in Engineering & Sciences, 2013 In this paper, a Local Integral Equation Method (LIEM) is presented for solving two-dimensional nonlocal elasticity problems . The approach is based on the Eringen’s model with LIEM and the interpolation using the radial basis functions to obtain the numerical solutions for 2D problems.
Wen, P. H. +2 more
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Acta Mechanica, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eptaimeros, K. G. +2 more
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Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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Young measures in a nonlocal phase transition problem [PDF]
, 1997 A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M, Ren, X
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Stress-driven nonlocal integral model for Timoshenko elastic nano-beams
European Journal of Mechanics - A/Solids, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raffaele Barretta +3 more
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Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase field fracture by nonlocal operator method [PDF]
, 2021 The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional methods. In this paper, we apply the variational principle/weighted residual method based on nonlocal operator method for the derivation of nonlocal ...
Rabczuk, Timon (Prof. Dr.-Ing.) +5 more
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ADVANCING INTEGRAL NONLOCAL ELASTICITY VIA FRACTIONAL CALCULUS: THEORY, MODELING, AND APPLICATIONS
The continuous advancements in material science and manufacturing engineering have revolutionized the material design and fabrication techniques therefore drastically accelerating the development of complex structured materials. These novel materials, such as micro/nano-structures, composites, porous media, and metamaterials, have found important ...
Wei Ding (18423237)
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A nonlocal sinusoidal plate model for micro/nanoscale plates [PDF]
, 2014 A nonlocal sinusoidal plate model for micro/nanoscale plates is developed based on Eringen’s nonlocal elasticity theory and sinusoidal shear deformation plate theory.
Thai, Huu-Tai +3 more
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Nonlocal Analysis of Longitudinal Dynamic Behavior of Nanobars with Surface Energy Effect [PDF]
Mechanics of Advanced Composite Structures, 2019 Due to considerable stored energy in surfaces of nano-scales in comparison with the stored energy in their bulk, considering the surface energy is necessary for the analysis of various behaviors of nano-scales for more precise design and manufacturing ...
Reza Nazemnezhad, Mostafa Moazzeni
doaj +1 more source