• 제목/요약/키워드: M-K theory

검색결과 1,236건 처리시간 0.03초

A four variable trigonometric integral plate theory for hygro-thermo-mechanical bending analysis of AFG ceramic-metal plates resting on a two-parameter elastic foundation

  • Tounsi, Abdelouahed;Al-Dulaijan, S.U.;Al-Osta, Mohammed A.;Chikh, Abdelbaki;Al-Zahrani, M.M.;Sharif, Alfarabi;Tounsi, Abdeldjebbar
    • Steel and Composite Structures
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    • 제34권4호
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    • pp.511-524
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    • 2020
  • In this research, a simple four-variable trigonometric integral shear deformation model is proposed for the static behavior of advanced functionally graded (AFG) ceramic-metal plates supported by a two-parameter elastic foundation and subjected to a nonlinear hygro-thermo-mechanical load. The elastic properties, including both the thermal expansion and moisture coefficients of the plate, are also supposed to be varied within thickness direction by following a power law distribution in terms of volume fractions of the components of the material. The interest of the current theory is seen in its kinematics that use only four independent unknowns, while first-order plate theory and other higher-order plate theories require at least five unknowns. The "in-plane displacement field" of the proposed theory utilizes cosine functions in terms of thickness coordinates to calculate out-of-plane shear deformations. The vertical displacement includes flexural and shear components. The elastic foundation is introduced in mathematical modeling as a two-parameter Winkler-Pasternak foundation. The virtual displacement principle is applied to obtain the basic equations and a Navier solution technique is used to determine an analytical solution. The numerical results predicted by the proposed formulation are compared with results already published in the literature to demonstrate the accuracy and efficiency of the proposed theory. The influences of "moisture concentration", temperature, stiffness of foundation, shear deformation, geometric ratios and volume fraction variation on the mechanical behavior of AFG plates are examined and discussed in detail.

Two-temperature thermoelastic surface waves in micropolar thermoelastic media via dual-phase-lag model

  • Abouelregal, A.E.;Zenkour, A.M.
    • Advances in aircraft and spacecraft science
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    • 제4권6호
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    • pp.711-727
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    • 2017
  • This article is concerned with a two-dimensional problem of micropolar generalized thermoelasticity for a half-space whose surface is traction-free and the conductive temperature at the surface of the half-space is known. Theory of two-temperature generalized thermoelasticity with phase lags using the normal mode analysis is used to solve the present problem. The formulas of conductive and mechanical temperatures, displacement, micro-rotation, stresses and couple stresses are obtained. The considered quantities are illustrated graphically and their behaviors are discussed with suitable comparisons. The present results are compared with those obtained according to one temperature theory. It is concluded that both conductive heat wave and thermodynamical heat wave should be separated. The two-temperature theory describes the behavior of particles of elastic body more real than one-temperature theory.

Frequency, bending and buckling loads of nanobeams with different cross sections

  • Civalek, Omer;Uzun, Busra;Yayli, M. Ozgur
    • Advances in nano research
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    • 제9권2호
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    • pp.91-104
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    • 2020
  • The bending, stability (buckling) and vibration response of nano sized beams is presented in this study based on the Eringen's nonlocal elasticity theory in conjunction with the Euler-Bernoulli beam theory. For this purpose, the bending, buckling and vibration problem of Euler-Bernoulli nanobeams are developed and solved on the basis of nonlocal elasticity theory. The effects of various parameters such as nonlocal parameter e0a, length of beam L, mode number n, distributed load q and cross-section on the bending, buckling and vibration behaviors of carbon nanotubes idealized as Euler-Bernoulli nanobeam is investigated. The transverse deflections, maximum transverse deflections, vibrational frequency and buckling load values of carbon nanotubes are given in tables and graphs.

Interpretation of coefficient of consolidation from CRS test results

  • Jia, Rui;Chai, Jinchun;Hino, Takenori
    • Geomechanics and Engineering
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    • 제5권1호
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    • pp.57-70
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    • 2013
  • Constant rate of strain (CRS) consolidation tests were conducted for undisturbed Ariake clay samples from three boreholes in Saga Plain of Kyushu Island, Japan. The coefficients of consolidation ($c_{\nu}$) were interpreted from the CRS test results by small- and large-strain theory. Large-strain theory was found to interpret smaller $c_{\nu}$ values and less strain rate effect on $c_{\nu}$ than that by small-strain theory. Comparing the theoretical strain distributions within a soil specimen to those obtained by numerical simulation shows that the small-strain theory can be used only for the dimensionless parameter $c_{\nu}/\dot{\varepsilon}H_0^2{\geq}50$ (where $\dot{\varepsilon}$ is strain rate and $H_0$ is the specimen height), and the large-strain theory can be used for a larger range of strain rates. Applying the criterion to undisturbed Ariake clay with a $c_{\nu}$ value of about $1{\times}10^{-7}\;m^2/s$, it is suggested that the large-strain theory should be adopted for calculating the $c_{\nu}$ value when $\dot{\varepsilon}$ > 0.03%/min.

Kubelka-Munk이론에 기반한 사염직물의 최적화된 구조-색채모델링 (Optimized Structural and Colorimetrical Modeling of Yarn-Dyed Woven Fabrics Based on the Kubelka-Munk Theory)

  • 채영주
    • 한국의류학회지
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    • 제42권3호
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    • pp.503-515
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    • 2018
  • In this research, the three-dimensional structural and colorimetrical modeling of yarn-dyed woven fabrics was conducted based on the Kubelka-Munk theory (K-M theory) for their accurate color predictions. In the K-M theory for textile color formulation, the absorption and scattering coefficients, denoted K and S, respectively, of a colored fabric are represented using those of the individual colorants or color components used. One-hundred forty woven fabric samples were produced in a wide range of structures and colors using red, yellow, green, and blue yarns. Through the optimization of previous two-dimensional color prediction models by considering the key three-dimensional structural parameters of woven fabrics, three three-dimensional K/S-based color prediction models, that is, linear K/S, linear log K/S, and exponential K/S models, were developed. To evaluate the performance of the three-dimensional color prediction models, the color differences, ${\Delta}L^*$, ${\Delta}C^*$, ${\Delta}h^{\circ}$, and ${\Delta}E_{CMC(2:1)}$, between the predicted and the measured colors of the samples were calculated as error values and then compared with those of previous two-dimensional models. As a result, three-dimensional models have proved to be of substantially higher predictive accuracy than two-dimensional models in all lightness, chroma, and hue predictions with much lower ${\Delta}L^*$, ${\Delta}C^*$, ${\Delta}h^{\circ}$, and the resultant ${\Delta}E_{CMC(2:1)}$ values.

Improving current and luminous efficacy of red phosphorescent Organic Light Emitting Diodes (OLEDs) by introducing graded-layer device designs enabled by Organic Vapor Phase Deposition (OVPD)

  • Schwambera, Markus;Keiper, Dietmar;Meyer, Nico;Heuken, Michael;Lindla, Florian;Bosing, Manuel;Zimmermann, Christoph;Jessen, Frank;Kalisch, Holger;Jansen, Rolf H.;Gemmern, Philipp Van;Bertram, Dietrich
    • 한국정보디스플레이학회:학술대회논문집
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    • 한국정보디스플레이학회 2009년도 9th International Meeting on Information Display
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    • pp.1140-1143
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    • 2009
  • Organic Vapor Phase Deposition (OVPD) equipment enables the accurate and simultaneous control of deposition rates of multiple materials as well as their homogenous mixing in the gas phase. Graded or even cross-faded layers by varying carrier gas flow are options to improve OLED performances. As example, we will show how the efficacies of standard red phosphorescent OLEDs with sharp interfaces can be increased from 18.8 cd/A and 14.1 lm/W (1,000 cd/$m^2$) to 36.5 cd/A (+94 %, 18 % EQE) and 33.7 lm/W (+139 %) by the introduction of cross-fading, which is a controlled composition variation in the organic film.

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활동 이론의 관점에서 예비교사의 수학 수업 탐색하기 (Understanding a Prospective Teacher's Mathematics Lesson in the Perspective of Activity Theory)

  • 나귀수
    • 대한수학교육학회지:수학교육학연구
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    • 제26권3호
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    • pp.355-370
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    • 2016
  • 본 연구의 목적은 활동 이론의 관점에서 초등학교 예비교사인 김교사가 실시한 수학 수업을 탐색하는 것이다. 본 연구에서는 $Engestr{\ddot{o}}m$이 제안한 활동 이론(Activity theory)과 활동체계(Activity system)의 주요 개념인 주체, 목표, 도구, 공동체, 분업, 규칙의 측면에서 수학 수업과 수학 수업에서 나타난 현상을 살펴보았다. 본 연구의 결과로서, 활동체계로서의 김교사의 수학 수업에서 목표와 도구의 동요, 목표-규칙-결과-학생 주체 사이에서 발생하는 '다층-목소리'와 갈등, 분업-공동체-규칙 사이에 내재하는 불협화음 등의 현상이 발생함을 논의하였다. 또한, 본 연구에서는 김교사의 수업에서 수학과 교육과정의 강조점인 조작 교구를 활용한 수학 원리의 이해가 활동체계의 규칙으로 작용함을 확인했으며, 이러한 규칙이 수학 수업에서 구현되기 위해서는 공동체의 노력과 정책적 지원이 필요함을 제안하였다.

Nonlocal strain gradient effects on forced vibrations of porous FG cylindrical nanoshells

  • Mirjavadi, Seyed Sajad;Forsat, Masoud;Nia, Alireza Farrokhi;Badnava, Salman;Hamouda, A.M.S.
    • Advances in nano research
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    • 제8권2호
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    • pp.149-156
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    • 2020
  • The present paper explores forced vibrational properties of porosity-dependent functionally graded (FG) cylindrical nanoshells exposed to linear-type or triangular-type impulse load via classical shell theory (CST) and nonlocal strain gradient theory (NSGT). Employing such scale-dependent theory, two scale factors accounting for stiffness softening and hardening effects are incorporated in modeling of the nanoshell. Two sorts of porosity distributions called even and uneven have been taken into account. Governing equations obtained for porous nanoshell have been solved through inverse Laplace transforms technique to derive dynamical deflections. It is shown that transient responses of a nanoshell are affected by the form and position of impulse loading, amount of porosities, porosities dispensation, nonlocal and strain gradient factors.

A NEW METHOD FOR SOLVING NONLINEAR SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS

  • Gachpazan. M.;Kerayechian, A.;Kamyad, A.V.
    • Journal of applied mathematics & informatics
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    • 제7권2호
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    • pp.453-465
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    • 2000
  • In this paper, a new method for finding the approximate solution of a second order nonlinear partial differential equation is introduced. In this method the problem is transformed to an equivalent optimization problem. them , by considering it as a distributed parameter control system the theory of measure is used for obtaining the approximate solution of the original problem.