Vibration Analysis of Material Size-Dependent CNTs Using Energy Equivalent Model [PDF]
Journal of Applied and Computational Mechanics, 2018 This study presents a modified continuum model to investigate the vibration behavior of single and multi-carbon nanotubes (CNTs). Two parameters are exploited to consider size dependence; one derived from the energy equivalent model and the other from ...
Mohamed A. Eltaher +2 more
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 In this paper a model is developed for the buckling and vibration analysis of a Kirchhoff rectangular nanoplate based on a modified couple stress theory.
Majid E. Shahraki, Jafar E. Jam
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Isogeometric analysis for functionally graded microplates based on modified couple stress theory [PDF]
, 2016 Analysis of static bending, free vibration and buckling behaviours of functionally graded microplates is investigated in this study. The main idea is to use the isogeometric analysis in associated with novel four-variable refined plate theory and quasi ...
Abdel-Wahab, M. +5 more
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Analytical predictions for the buckling of a nanoplate subjected to non-uniform compression based on the four-variable plate theory [PDF]
Journal of Applied and Computational Mechanics, 2017 In the present study, the buckling analysis of the rectangular nanoplate under biaxial non-uniform compression using the modified couple stress continuum theory with various boundary conditions has been considered.
Mohammad Malikan
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Size-dependent behaviour of functionally graded sandwich microbeams based on the modified couple stress theory [PDF]
, 2015 Static bending, buckling and free vibration behaviours of size-dependent functionally graded (FG) sandwich microbeams are examined in this paper based on the modified couple stress theory and Timoshenko beam theory. To avoid the use of a shear correction
Thai, Huu-Tai +3 more
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State-space Levy solution for size-dependent static, free vibration and buckling behaviours of functionally graded sandwich plates [PDF]
, 2018 The size-dependent static, free vibration and buckling behaviours of functionally graded (FG) sandwich plates are analysed in this study. Utilising the modified couple stress theory and variational principle, governing equations of motion are developed ...
Nguyen, Kien +4 more
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Size-dependent vibration of bi-directional functionally graded microbeams with arbitrary boundary conditions [PDF]
, 2018 In this paper, the free vibration behaviour of bi-dimensional functionally graded (BDFG) microbeams under arbitrary boundary conditions (BCs) is studied.
Nguyen, Trung-Kien +3 more
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Bending and Buckling Analysis of a Nth-Order Shear Deformation Nanoplate using Modified Couple Stress Theory [PDF]
International Journal of Advanced Design and Manufacturing Technology, 2021 In this paper a Nth order nanoplate model is developed for the bending and buckling analysis of a graphene nanoplate based on a modified couple stress theory. The strain energy, external work and buckling equations are solved.
Majid Eskandari shahraki +2 more
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A higher order control volume based finite element method to prodict the deformation of heterogeneous materials [PDF]
, 2013 Materials with obvious internal structure can exhibit behaviour, under loading, that cannot be described by classical elasticity. It is therefore important to develop computational tools incorporating appropriate constitutive theories that can capture ...
A.J. Beveridge +27 more
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Vibration of Timoshenko Beams Using Non-classical Elasticity Theories
Shock and Vibration, 2012 This paper presents a comparison among classical elasticity, nonlocal elasticity, and modified couple stress theories for free vibration analysis of Timoshenko beams.
J.V. Araújo dos Santos, J.N. Reddy
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