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Nonlinear mechanics of nanoscale tubes via nonlocal strain gradient theory
International Journal of Engineering Science, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghayesh, M., Farajpour, A.
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Critical Temperatures for Vibrations and Buckling of Magneto-Electro-Elastic Nonlocal Strain Gradient Plates. [PDF]
Nanomaterials (Basel), 2021 An analytical method is presented in this work for the linear vibrations and buckling of nano-plates in a hygro-thermal environment. Nonlinear von Kármán terms are included in the plate kinematics in order to consider the instability phenomena. Strain gradient nonlocal theory is considered for its simplicity and applicability with respect to other ...
Tocci Monaco G +3 more
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Free vibrations of elastic beams by modified nonlocal strain gradient theory
International Journal of Engineering Science, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Apuzzo +4 more
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The strain gradient elasticity via nonlocal considerations
International Journal of Solids and Structures, 2023 Strain gradient elasticity and nonlocal elasticity are two enhanced elastic theories intensively used over the last fifty years to explain static and dynamic phenomena that classical elasticity fails to do. The nonlocal elastic theory has a clear differentiation from the classical case by considering stresses in a point of the continuum as an integral ...
T. Gortsas, D.G. Aggelis, D. Polyzos
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Forces in MechanicsThis paper presents analytical solutions for the bending behavior of bi-directional functionally graded (BDFG) micro and nanobeams, wherein the material properties vary along both the thickness and axial directions, following power-law and exponential ...
Minhaj Uddin Mahmood Siddique +1 more
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Mathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voids
Mathematical Modelling of Natural Phenomena, 2022 A nonlocal theory for thermoelastic materials with voids based on Mindlin’s strain gradient theory was derived in this paper with some qualitative properties. We have also established the size effect of nonlocal heat conduction with the aids of extended irreversible thermodynamics and generalized free energy.
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A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams [PDF]
, 2012 This paper presents a nonlocal sinusoidal shear deformation beam theory for the bending, buckling, and vibration of nanobeams. The present model is capable of capturing both small scale effect and transverse shear deformation effects of nanobeams, and ...
Thai, Huu-Tai, Vo, Thuc
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Archives of Mechanics, 2020 A size-dependent Euler–Bernoulli beam model is derived within the framework of the higher-order nonlocal strain gradient theory. Nonlocal equations of motion are derived by applying Hamilton’s principle and solved with an analytical solution.
G. Janevski, N. Despenić, I. Pavlović
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, 2023 A novel stability model is analytically reformulated for the nano-sized beam resting on a one-parameter elastic foundation. The stability solution is based on the nonlocal strain gradient elasticity theory.
Mustafa Özgür Yaylı +3 more
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Nonlinear flexure mechanics of beams: stress gradient and nonlocal integral theory
Materials Research Express, 2021 In order to study the intrinsic size-effects, the stress gradient theory is implemented to a nano-scale beam model in nonlinear flexure. The nonlocal integral elasticity model is considered as a suitable counterpart to examine the softening behavior of ...
Mahdad Fazlali +2 more
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