• Title/Summary/Keyword: Size effect law

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Dynamic analysis of functionally graded nonlocal nanobeam with different porosity models

  • Ghandourh, Emad E.;Abdraboh, Azza M.
    • Steel and Composite Structures
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    • v.36 no.3
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    • pp.293-305
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    • 2020
  • This article presented a nanoscale modified continuum model to investigate the free vibration of functionally graded (FG) porous nanobeam by using finite element method. The main novelty of this manuscript is presenting effects of four different porosity models on vibration behaviors of nonlocal nanobeam structure including size effect, that not be discussed before The proposed porosity models are, uniform porosity distribution, symmetric with mid-plane, bottom surface distribution and top surface distribution. The nano-scale effect is included in modified model by using the differential nonlocal continuum theory of Eringen that adding the length scale into the constitutive equations as a material parameter constant. The graded material is distributed through the beam thickness by a generalized power law function. The beam is simply supported, and it is assumed to be thin. Therefore, the kinematic assumptions of Euler-Bernoulli beam theory are held. The mathematical model is solved numerically using the finite element method. Results demonstrate effects of porosity type, material gradation, and nanoscale parameters on the free vibration of nanobeam. The proposed model is effective in vibration analysis of NEMS structure manufactured by porous functionally graded materials.

Critical Scaling Behavior of Barkhausen Avalanches in Ferromagnetic Nanothin Films

  • Shin, Sung-Chul;Kim, Dong-Hyun;Choe, Sug-Bong;Ryu, Kwang-Su;H. Akinaga
    • Proceedings of the Korean Magnestics Society Conference
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    • 2003.06a
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    • pp.260-261
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    • 2003
  • It is recognized that the magnetization reverses with a sequence of discrete and jerky jumps, known as the Barkhausen effect. Recently, interest in the Barkhausen effect has grown as it is a good example of dynamical critical behavior, evidenced by experimental observation of a power law distribution of the Barkhausen jump size. So far, most experimental studies have been carried out on bulk samples using a classical inductive technique, which is difficult to apply to thin film samples mainly due to the ]ow signal intensity. For this reason, very few experiments have been done on two-dimensional ferromagnetic thin films. In this talk, we report a direct domain observation of Barkhausen avalanche at criticality in Co and MnAs thin films investigated by means of a magnetooptical microscope magnetometer (MOMM), capable of time-resolved domain observation with an image grabbing rate of 30 frames/s in real time. In Fig. 1, we demonstrate a series of six representative domain-evolution patterns of 25-nm Co film observed successively by means of the MOMM, where one can directly witness Barkhausen avalanche.

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Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter

  • Houari, Mohammed Sid Ahmed;Bessaim, Aicha;Bernard, Fabrice;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.28 no.1
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    • pp.13-24
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    • 2018
  • A size-dependent novel hyperbolic shear deformation theory of simply supported functionally graded beams is presented in the frame work of the non-local strain gradient theory, in which the stress accounts for only the nonlocal strain gradients stress field. The thickness stretching effect (${\varepsilon}_z{\neq}0$) is also considered here. Elastic coefficients and length scale parameter are assumed to vary in the thickness direction of functionally graded beams according to power-law form. The governing equations are derived using the Hamilton principle. The closed-form solutions for exact critical buckling loads of nonlocal strain gradient functionally graded beams are obtained using Navier's method. The derived results are compared with those of strain gradient theory.

Axial frequency analysis of axially functionally graded Love-Bishop nanorods using surface elasticity theory

  • Nazemnezhad, Reza;Shokrollahi, Hassan
    • Steel and Composite Structures
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    • v.42 no.5
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    • pp.699-710
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    • 2022
  • This work presents a comprehensive study on the surface energy effect on the axial frequency analyses of AFGM nanorods in cylindrical coordinates. The AFGM nanorods are considered to be thin, relatively thick, and thick. In thin nanorods, effects of the inertia of lateral motions and the shear stiffness are ignored; in relatively thick nanorods, only the first one is considered; and in thick nanorods, both of them are considered in the kinetic energy and the strain energy of the nanorod, respectively. The surface elasticity theory which includes three surface parameters called surface density, surface stress, and surface Lame constants, is implemented to consider the size effect. The power-law form is considered for variation of the material properties through the axial direction. Hamilton's principle is used to derive the governing equations and boundary conditions. Due to considering the surface stress, the governing equation and boundary condition become inhomogeneous. After homogenization of them using an appropriate change of variable, axial natural frequencies are calculated implementing harmonic differential quadrature (HDQ) method. Comprehensive results including effects of geometric parameters and various material properties are presented for a wide range of boundary condition types. It is believed that this study is a comprehensive one that can help posterities for design and manufacturing of nano-electro-mechanical systems.

Electrical properties of La-doped BaTiO3 synthesized by homogeneous precipitation (균일침전법으로 제조된 란탄이 혼입된 $BaTiO_3$의 전기적 특성)

  • Huh, Woo-Young;Ryu, Kyoung-Youl;Kim, Seung-Won;Lee, Chul
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.9 no.5
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    • pp.498-503
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    • 1999
  • La-doped $BaTiO_3$ ceramics were prepared from BaTiO(C_2O_4)_2\;{\cdot}\;XH_2O(BTO)$, which was synthesized by homogeneous precipitation using dimethyl oxalate. The electrical properties of La-doped $BaTiO_3$ were investigated with variation of La-contents and particle size. It was found that a large PTCR (positive temperature coefficient of resistivity) effect was appeared in the conditions at the 0.6 mol% of La-content and at small particle size of BTO as 1.0$\mu\textrm{m}$. The plot of temperature vs. 1/$\varepsilon_m$(T) above Curie temperature $(T_c)$ was agreed with Curie-Weiss law. The potential barrier calculated from measured resistance and capacitance of specimen, also gave higher value at small particle size of BTO as 1.0 $\mu\textrm{m}$ and at La-content of 0.6 mol%.

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Effect of Grain Size and Drying Temperature on Drying Characteristics of Soybean (Glycine max) Using Hot Air Drying (열풍건조 시의 건조 온도와 입경에 따른 콩(Glycine max)의 건조 특성)

  • Park, Hyeon Woo;Han, Won Young;Yoon, Won Byong
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.44 no.11
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    • pp.1700-1707
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    • 2015
  • The effects of drying temperature on drying characteristics of soybeans with different grain sizes [6.0 (S), 7.5 (M), and 9.0 mm (L) (${\pm}0.2$)] with 25.0% (${\pm}0.8$) initial moisture content were studied. Drying temperatures varied at 25, 35, and $45^{\circ}C$, with a constant air velocity (13.2 m/s). Thin-layer drying models were applied to describe the drying process of soybeans. The Midilli-Kucuk model showed the best fit ($R^2$ >0.99). Based on the model parameters, drying time to achieve the target moisture content (10%) was successfully estimated. Drying time was strongly dependent on the size of soybeans and the drying temperature. The effective moisture diffusivity ($D_{eff}$) was estimated by the diffusion model based on Fick's second law. $D_{eff}$ values increased as grain size and drying temperature increased due to the combined effect of high temperatures and high drying rates, which promote compact tissue. Deff values of S, M, and L estimated were in the range of $0.83{\times}10^{-10}$ to $1.51{\times}10^{-10}m^2/s$, $1.17{\times}10^{-10}$ to $2.17{\times}10^{-10}m^2/s$, and $1.53{\times}10^{-10}$ to $2.95{\times}10^{-10}m^2/s$, respectively, whereas activation energy ($E_a$) based on drying temperature showed no significant differences in the size of soybeans.

Corporate Governance and Earnings Management: A Study of Vietnamese Listed Banks

  • TRAN, Quoc Thinh;LAM, To Trang;LUU, Chi Danh
    • The Journal of Asian Finance, Economics and Business
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    • v.7 no.12
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    • pp.389-395
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    • 2020
  • Earnings management is a matter of concern for organizations because it affects the interests of stakeholders. This reduces the quality of information on financial statements of the organizations when the organization performs earnings management behavior. The objective of the article is to examine the impact of corporate governance on earnings management of all Vietnamese listed banks from 2015 to 2019. The article uses time-series data and ordinary least square (OLS) with Eviews 10.0 software to test the regression model. The agency and asymmetry information theory is used to explain the relationship between corporate governance and earnings management. The study results show that two variables - the foreign members of the board of directors and audit committee - have an opposite effect on earnings management behavior of Vietnamese listed banks. Therefore, the managers of listed banks need to raise awareness to express responsibility for honest and reasonable information on the financial statements. This creates trust and credibility for stakeholders. Moreover, Central bank of Vietnam should monitor regularly and enforce strict sanctions to limit earnings management behavior of listed banks. This contributes to improving the quality of accounting information in the Vietnamese banking sector to meet the trend of international economic integration.

Size-dependent buckling behaviour of FG annular/circular thick nanoplates with porosities resting on Kerr foundation based on new hyperbolic shear deformation theory

  • Sadoughifar, Amirmahmoud;Farhatnia, Fatemeh;Izadinia, Mohsen;Talaeetaba, Sayed Behzad
    • Structural Engineering and Mechanics
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    • v.73 no.3
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    • pp.225-238
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    • 2020
  • This work treats the axisymmetric buckling of functionally graded (FG) porous annular/circular nanoplates based on modified couple stress theory (MCST). The nanoplate is located at the elastic medium which is simulated by Kerr foundation with two spring and one shear layer. The material properties of the porous FG nanostructure are assumed to vary through the nanoplate thickness based on power-law rule. Based on two variables refined plate theory, the governing equations are derived by utilizing Hamilton's principle. Applying generalized differential quadrature method (GDQM), the buckling load of the annular/circular nanoplates is obtained for different boundary conditions. The influences of different involved parameters such as boundary conditions, Kerr medium, material length scale parameter, geometrical parameters of the nanoplate, FG power index and porosity are demonstrated on the nonlinear buckling load of the annular/circular nanoplates. The results indicate that with increasing the porosity of the nanoplate, the nonlinear buckling load is decreased. In addition, with increasing the material length scale parameter to thickness ratio, the effect of spring constant of Kerr foundation on the buckling load becomes more prominent. The present results are compared with those available in the literature to validate the accuracy and reliability. A good agreement is observed between the two sets of the results.

Preparation of Flaky α-Al2O3 Crystals by Transition Metal Salts Addition (전이금속염 첨가에 의한 판상 α-Al2O3 결정체 제조)

  • Song, Hyo-Kyung;Park, Byung-Ki;Lee, Jung-Min
    • Journal of the Korean Ceramic Society
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    • v.42 no.6 s.277
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    • pp.384-390
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    • 2005
  • [ ${\alpha}-Al_2O_3$ ] precursor was synthesised by sol-gel method using aluminum sulfate, sodium sulfate and sodium carbonate as law materials. The flaky ${\alpha}-Al_2O_3$ crystals were prepared by heating using precursor about $1,050^{\circ}C$. In this study, the effect of some transition-metal sulfate ($FeSO_4,\;SnSO_4,\;ZnSO_4$) addition have been investigated. When iron sulfate was added, it could see that act on impurities in crystal growth process. In case of tin sulfate, distribution of Platelets was very broad. When flaky ${\alpha}-Al_2O_3$ crystals were prepared zinc sulfate addition, thickness, size, and distribution of platelets was suited to industrial application. The average diameter of flaky ${\alpha}-Al_2O_3$ crystals was about 20 $\mu$m, and its thickness was about 0.3 $\mu$m. Increasing addition of zinc sulfate, thickness of ${\alpha}-Al_2O_3$ platelet was decreased.

Large amplitude free vibration analysis of functionally graded nano/micro beams on nonlinear elastic foundation

  • Setoodeh, AliReza;Rezaei, Mohammad
    • Structural Engineering and Mechanics
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    • v.61 no.2
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    • pp.209-220
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    • 2017
  • The purpose of this paper is to study the geometrically nonlinear free vibration of functionally graded nano/micro beams (FGNBs) based on the modified couple stress theory. For practical applications, some analytical expressions of nonlinear frequencies for FGNBs on a nonlinear Pasternak foundation are developed. Hamilton's principle is employed to obtain nonlinear governing differential equations in the context of both Euler-Bernoulli and Timoshenko beam theories for a comprehensive investigation. The modified continuum theory contains one material length scale parameter to capture the size effect. The variation of two-constituent material along the thickness is modeled using Reddy's power-law. Also, the Mori-Tanaka method as an accurate homogenization technique is implemented to estimate the effective material properties of the FGNBs. The results are presented for both hinged-hinged and clamped-clamped boundary conditions. The nonlinear partial differential equations are reduced to ordinary differential equations using Galerkin method and then the powerful method of homotopy analysis is utilized to obtain the semi-analytical solutions. Eventually, the presented analytical expressions are used to examine the influences of the length scale parameter, material gradient index, and elastic foundation on the nonlinear free vibration of FGNBs.