The Experts below are selected from a list of 282 Experts worldwide ranked by ideXlab platform
Omer Civalek - One of the best experts on this subject based on the ideXlab platform.
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application of strain gradient Elasticity Theory for buckling analysis of protein microtubules
Current Applied Physics, 2011Co-Authors: Bekir Akgoz, Omer CivalekAbstract:Abstract In this paper, size effect of microtubules (MTs) is studied via modified strain gradient Elasticity Theory for buckling. MTs are modeled by Bernoulli–Euler beam Theory. By using the variational principle, the governing equations for buckling and related boundary conditions are obtained in conjunctions with the strain gradient Elasticity. The size effect for buckling analysis of MTs is investigated and results are presented in graph form. The results obtained by strain gradient Elasticity Theory are discussed through the numerical simulations. The results based on the modified couple stress Theory, nonlocal Elasticity Theory and classical Elasticity theories have been also presented for comparison purposes.
Maziar Janghorban - One of the best experts on this subject based on the ideXlab platform.
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Investigating Bulk Waves in Orthotropic Rectangular Nanoplates Based on Three Dimensional Elasticity Theory and Nonlocal Elasticity Theory
Brazilian Journal of Physics, 2014Co-Authors: Mohammad Rahim Nami, Maziar JanghorbanAbstract:The propagation of bulk waves in rectangular nanoplates is studied on the basis of nonlocal three-dimensional Elasticity Theory. The nonlocal Theory applies to both thin and thick rectangular orthotropic nanoplates. The dispersion relation for the waves is derived analytically. Our results are checked against data for macroplates. The influence of nonlocality and other parameters on the wave frequency and phase velocity is discussed.
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Free vibration analysis of rectangular nanoplates based on two-variable refined plate Theory using a new strain gradient Elasticity Theory
Journal of The Brazilian Society of Mechanical Sciences and Engineering, 2014Co-Authors: Mohammad Rahim Nami, Maziar JanghorbanAbstract:In this paper, the free vibration of simply supported rectangular nanoplates based on two-variable refined plate Theory using strain gradient Elasticity Theory is presented. Various formats of gradient Elasticity Theory are available in the literature. In this work, strain gradient Elasticity Theory with two gradient constants is used. An analytical method is adopted to find the natural frequencies of rectangular nanoplates. Present results are compared with the results of other works done previously. It is mentioned that it is the first time that two-variable refined Theory and strain gradient Elasticity Theory with two gradient constants are used together for free vibration of nanostructures, so the results of the present work can be used as bench mark for future works.
S. Chakraverty - One of the best experts on this subject based on the ideXlab platform.
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Recent Researches on Nonlocal Elasticity Theory in the Vibration of Carbon Nanotubes Using Beam Models: A Review
Archives of Computational Methods in Engineering, 2017Co-Authors: L. Behera, S. ChakravertyAbstract:Understanding dynamic behavior of carbon nanotubes has been of interest to researchers because of its practical applications. Recent studies show that nonlocal Elasticity Theory gives better results in the vibration of carbon nanotubes. The necessity of nonlocal Elasticity Theory, calibration of nonlocal parameter and application of nonlocal Elasticity Theory in various studies related to vibration of carbon nanotubes are discussed. This review emphasizes the application of nonlocal Elasticity Theory in the vibration of carbon nanotubes considering various types of complicating effects, nonlinearity, functionally graded material and different beam theories.
Binglei Wang - One of the best experts on this subject based on the ideXlab platform.
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a reformulation of constitutive relations in the strain gradient Elasticity Theory for isotropic materials
International Journal of Solids and Structures, 2016Co-Authors: Shenjie Zhou, Anqing Li, Binglei WangAbstract:Abstract The general isotropic strain gradient Elasticity Theory with five higher-order elastic constants is reformulated by introducing two different orthogonal decompositions of the strain gradient tensor. Just applying the mathematical reformulations, no extra conditions needed, the constitutive relations, equilibrium equation and boundary conditions are reformulated. In the reformulated Theory, the number of independent higher-order elastic constants is proved to be three for isotropic materials, which indicates that the five higher-order elastic constants in the general isotropic strain gradient Elasticity Theory are dependent with each other. Therefore, the general strain gradient Elasticity Theory contains only three independent material length-scale parameters for isotropic materials in addition to the Lame constants. The new Theory is different from the existed strain gradient Elasticity Theory with one or three material length-scale parameters, which introduces extra conditions during deriving process. Moreover, the reformulated Theory can be directly reduced to that of incompressible materials by assuming the terms associated with hydrostatic strains to be zero. Some examples, such as torsion of cylindrical bars, shearing of fixed-end layers, and pure bending of thin beams, are performed to reveal the necessity of including multi-length-scale parameters in the strain gradient Elasticity Theory to predict size effects at micron scale.
Bekir Akgoz - One of the best experts on this subject based on the ideXlab platform.
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application of strain gradient Elasticity Theory for buckling analysis of protein microtubules
Current Applied Physics, 2011Co-Authors: Bekir Akgoz, Omer CivalekAbstract:Abstract In this paper, size effect of microtubules (MTs) is studied via modified strain gradient Elasticity Theory for buckling. MTs are modeled by Bernoulli–Euler beam Theory. By using the variational principle, the governing equations for buckling and related boundary conditions are obtained in conjunctions with the strain gradient Elasticity. The size effect for buckling analysis of MTs is investigated and results are presented in graph form. The results obtained by strain gradient Elasticity Theory are discussed through the numerical simulations. The results based on the modified couple stress Theory, nonlocal Elasticity Theory and classical Elasticity theories have been also presented for comparison purposes.