• Title/Summary/Keyword: power law exponent

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Static stability analysis of smart nonlocal thermo-piezo-magnetic plates via a quasi-3D formulation

  • Fenjan, Raad M.;Ahmed, Ridha A.;Faleh, Nadhim M.;Hani, Fatima Masood
    • Smart Structures and Systems
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    • v.26 no.1
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    • pp.77-87
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    • 2020
  • By employing a quasi-3D plate formulation, the present research studies static stability of magneto-electro-thermo-elastic functional grading (METE-FG) nano-sized plates. Accordingly, influences of shear deformations as well as thickness stretching have been incorporated. The gradation of piezo-magnetic and elastic properties of the nano-sized plate have been described based on power-law functions. The size-dependent formulation for the nano-sized plate is provided in the context of nonlocal elasticity theory. The governing equations are established with the usage of Hamilton's rule and then analytically solved for diverse magnetic-electric intensities. Obtained findings demonstrate that buckling behavior of considered nanoplate relies on the variation of material exponent, electro-magnetic field, nonlocal coefficient and boundary conditions.

Effect of Creep Mismatch Factor on Stress Redistribution in Welded Branch (분기관 용접부의 크리프 특성 불균일이 응력 재분배에 미치는 영향)

  • Lee, Kuk-Hee;Kim, Yun-Jae;Yoo, Kee-Bong;Nikbin, Kamran;Dean, Dave
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.293-298
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    • 2008
  • This paper attempts to quantify the effect of mismatch in creep properties on steady-state stress distributions for a welded branch vessel. A particular geometry for the branch vessel is chosen. The vessel is modeled by only two materials, the base and weld metal. Idealized power law creep laws with the same creep exponents are assumed for base and weld metals. A mismatch factor is introduced, as a function of the creep constant and exponent. Steady-state stress distributions within the weld metal, resulting from threedimensional, elastic-creep finite element (FE) analyses, are then characterized by the mismatch factor. We can find that average stresses in the weld can be characterized by the mis-match factor. And there is an analogy between elastic-creep and elastic-perfectly plastic.

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High Temperature Creep Behavior of Cr3C2 Composites (크롬-카바이드 복합체의 고온 크리프 거동)

  • 김지환;한동빈;김기태
    • Journal of the Korean Ceramic Society
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    • v.32 no.11
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    • pp.1219-1226
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    • 1995
  • Creep behaviors of Cr3C2 composites containing 90 wt% Cr3C2 and 10 wt% Ni were studied at high temperature. Compression tests at 100$0^{\circ}C$ and bending tests at 100$0^{\circ}C$ and 105$0^{\circ}C$ were done in argon environment. In all test conditions primary and steady-state creep behaviors were observed. Stress exponent and activatiion energy were determined from the experimental data. By microstructural analysis of Cr3C2 composites after creep test, the separate agglomerations of Ni phase were observed. Numerical analysis was also studied to analyze bending creep behaviors of Cr3C2 by assumming different tensile and compressive creep behavior in a bending sample. From the analysis, it was found that the stress state at the compressive region as applied stress increased. The observed creep rates were compared with the predicted creep rates by estimating power-law creep parameters from bending test data.

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AC Conductivity Studies of Polyaniline-polymannuronate Nanocomposites

  • Basavaraja, C.;Kim, Na-Ri;Jo, Eun-Ae;Pierson, R.;Huh, Do-Sung
    • Bulletin of the Korean Chemical Society
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    • v.30 no.7
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    • pp.1543-1546
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    • 2009
  • Temperature and frequency dependent AC conductivity behavior has been studied for the chemically synthesized polyaniline-polymannuronate (PANI-PM) composites. The temperature (300 - 500 K) and frequency (100 - $10^6$ Hz) dependent AC conductivity suggests evidence for the transport mechanism in PANI-PM composites. The frequency dependence of AC conductivity has been investigated by the power law. The frequency exponent (s) is determined, and the data suggest that s decreases with temperature. The variation of s with temperature suggests that AC conduction is due to the correlated barrier hopping.

On scale-dependent stability analysis of functionally graded magneto-electro-thermo-elastic cylindrical nanoshells

  • Asrari, Reza;Ebrahimi, Farzad;Kheirikhah, Mohammad Mahdi
    • Structural Engineering and Mechanics
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    • v.75 no.6
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    • pp.659-674
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    • 2020
  • The present paper employs nonlocal strain gradient theory (NSGT) to study buckling behavior of functionally graded magneto-electro-thermo-elastic (FG-METE) nanoshells under various physical fields. NSGT modeling of the nanoshell contains two size parameters, one related to nonlocal stress field and another related to strain gradients. It is considered that mechanical, thermal, electrical and magnetic loads are exerted to the nanoshell. Temperature field has uniform and linear variation in nanoshell thickness. According to a power-law function, piezo-magnetic, thermal and mechanical properties of the nanoshell are considered to be graded in thickness direction. Five coupled governing equations have been obtained by using Hamilton's principle and then solved implementing Galerkin's method. Influences of temperature field, electric voltage, magnetic potential, nonlocality, strain gradient parameter and FG material exponent on buckling loads of the FG-METE nanoshell have been studied in detail.

An Assessment of Offshore Wind Energy Resources around Korean Peninsula (한반도해역의 해상 풍력 자원 평가)

  • Kyong, N.H.;Yoon, J.E.;Jang, M.S.;Jang, D.S.
    • Journal of the Korean Solar Energy Society
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    • v.23 no.2
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    • pp.35-41
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    • 2003
  • In order to investigate the offshore wind resources around Korean peninsula, the "QuikSCAT Level 3" data by ADEOS II satellite was analyzed from Jan 1 2000 to Jan 18 2003. The "SeaWinds" on the satellite is a specialize4 device for microwave scatterometery that measures near-surface wind speed and direction under all weather and cloud conditions. Wind speed are extrapolated from 10m to 60m with the exponent of 1/10 in the power law model. It has been found that the High wind energy potentials are prevailing in the South sea and Southeastern end of Korean peninsula.

THERMALLY INDUCED PHASE SEPARATION IN TERNARY POLYMER SOLUTION

  • Jung, Bum-Suk;Kang, Yong-Soo;Jones, Richard-A.L.
    • Proceedings of the Membrane Society of Korea Conference
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    • 1999.07a
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    • pp.79-82
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    • 1999
  • Using Small Angle Light Scattering (SALS), the effect of quench depth on the kinetics of phase separation for ternary solution blends was investigated. The system was composed of two polymers (polystyrene and polybutadiene) and a solvent (toluene). The analyses of the early stage of phase separation were based of the Cahn-Hilliard theory [1,5]. Apparent diffusion coefficients and the fastest mode of fluctuations were evaluated, when quench depth of the system were varied near the critical composition of polymer. In the late stage of phase separation, the domain growth showed a power law with the 1/3 exponent, i.e. $q_m(t)~t^{-1/3}$. For comparison between real images and scattering profiles with time, the image of phase domains with time were obtained by using Laser Confocal Scanning Microscopy (LSCM).

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On transient hygrothermal vibration of embedded viscoelastic flexoelectric/piezoelectric nanobeams under magnetic loading

  • Shariati, Ali;Ebrahimi, Farzad;Karimiasl, Mahsa;Vinyas, M.;Toghroli, Ali
    • Advances in nano research
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    • v.8 no.1
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    • pp.49-58
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    • 2020
  • This paper investigates the vibration characteristics of flexoelectric nanobeams resting on viscoelastic foundation and subjected to magneto-electro-viscoelastic-hygro-thermal (MEVHT) loading. In this regard, the Nonlocal strain gradient elasticity theory (NSGET) is employed. The proposed formulation accommodates the nonlocal stress and strain gradient parameter along with the flexoelectric coefficient to accurately predict the frequencies. Further, with the aid of Hamilton's principle the governing differential equations are derived which are then solved through Galerkin-based approach. The variation of the natural frequency of MEVHT nanobeams under the influence of various parameters such as the nonlocal strain gradient parameter, different field loads, power-law exponent and slenderness ratio are also investigated.

Application of Scaling Theories to Estimate Particle Aggregation in a Colloidal Suspension

  • Park, Soongwan;Koo, Sangkyun
    • Korean Chemical Engineering Research
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    • v.60 no.2
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    • pp.260-266
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    • 2022
  • Average aggregate size in particulate suspensions is estimated with scaling theories based on fractal concept and elasticity of colloidal gel. The scaling theories are used to determine structure parameters of the aggregates, i.e., fractal dimension and power-law exponent for aggregate size reduction with shear stress using scaling behavior of elastic modulus and shear yield stress as a function of particle concentration. The structure parameters are utilized to predict aggregate size which varies with shear stress through rheological modeling. Experimentally rheological measurement is conducted for aqueous suspension of zinc oxide particles with average diameter of 110 nm. The predicted aggregate size is about 1135 nm at 1 s-1 and 739 nm at 1000 s-1 on the average over the particle concentrations. It has been found that the predicted aggregate size near 0.1 s-1 agrees with that the measured one by a dynamic light scattering analyzer operated un-sheared.

CAVITY FORMATION IN INTERFACE BETWEEN POWER LAW CREEP PARTICLE AND ELASTIC MATRIX SUBJECTED TO A UNIAXIAL STRESS

  • Lee, Yong-Sun;Ha, Young-Min;Hwang, Su-Chul
    • Journal of Theoretical and Applied Mechanics
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    • v.1 no.1
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    • pp.69-88
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    • 1995
  • The paper attempts to estimate the incubation time of a cavity in the interface between a power law creep particle and an elastic matrix subjected to a uniaxial stress. Since the power law creep particle is time dependent, the stresses in the interface relax. Through previous stress analysis related to the present physical model, the relaxation time is defined by ${\alpha}$2 which satisfies the equation $\Gamma$0 |1+${\alpha}$2k|m=1-${\alpha}$2 [19]. $\Gamma$0=2(1/√3)1+m($\sigma$$\infty$/2${\mu}$)m($\sigma$0/$\sigma$$\infty$tm) where $\sigma$$\infty$ is an applied stress, ${\mu}$ is a shear modulus of a matrix, $\sigma$$\infty$ is a material constant of a power law particle, $\sigma$=$\sigma$0 $\varepsilon$ and t elapsed time. the volume free energy associated with Helmholtz free energy includes strain energies associated with Helmholtz free energy includes strain energies caused by applied stress anddislocations piled up in interface (DPI). The energy due to DPI is found by modifying the results of Dundurs and Mura[20]. The volume free energies caused by both applied stress and DPI are a function of the cavity size(${\gamma}$) and elapsed time(t) and arise from stress relaxation in the interface. Critical radius ${\gamma}$ and incubation time t to maximize Helmholtz free energy is found in present analysis. Also, kinetics of cavity fourmation are investigated using the results obtained by Riede[16]. The incubation time is defied in the analysis as the time required to satisfy both the thermodynamic and kinetic conditions. Through the analysis it is found that [1] strain energy caused by the applied stress does not contribute significantly to the thermodynamic and kinetic conditions of a cavity formation, 2) in order to satisfy both thermodynamic and kinetic conditions, critical radius ${\gamma}$ decreases or holds constant with increase of time until the kinetic condition(eq.40) is satisfied. Therefore the cavity may not grow right after it is formed, as postulated by Harris[11], and Ishida and Mclean[12], 3) the effects of strain rate exponent (m), material constant $\sigma$0, volume fraction of the particle to matrix(f) and particle size on the incubation time are estimated using material constants of the copper as matrix.