• Title/Summary/Keyword: Relaxation modulus

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A Surface Relaxation Model for Si thin film (Si 박막해석을 위한 Surface Relaxation Model)

  • Chung, Ha-Young;Kim, Won-Bae;Cho, Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.273-276
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    • 2011
  • 표면의 물성은 표면효과를 고려한 나노 스케일의 구조물의 기계적 거동 해석에 있어서 필수적인 요소이다. 이러한 해석을 위한 방법론 중 surface relaxation model을 이용하여 박막의 표면 물성을 계산하는 방법은 이미 FCC 모델에서는 검증된 바 있으나, 동일한 방법론을 diamond 구조를 가지는 실리콘에 일괄적으로 적용할 수는 없다. 이는 FCC 구조를 갖는 금속과는 달리 실리콘이 공유결합 물질이라는 점과, 박막표면에서 다양한 surface reconstruction이 가능하다는 점, 그리고 실리콘의 diamond lattice가 FCC lattice에 비해 추가적인 자유도가 존재한다는 점으로부터 기인한다. 본 논문에서는 이와 같은 조건을 고려하여 Si 박막의 표면 물성을 해석하기 위한 surface relaxation 모델을 제시한다.

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Complex Modulus of Rough Rice Kernel under Cyclic Loading (주기적(週期的) 반복하중(反復荷重)을 받는 벼의 복소탄성율(複素彈性率))

  • Kim, M.S.;Park, J.M.
    • Journal of Biosystems Engineering
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    • v.16 no.3
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    • pp.263-271
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    • 1991
  • When grains is subjected to oscillating load, the dynamic viscoelastic behavior of the material will be describe the complex modulus of the material. The complex modulus and therefore the storage modulus, the loss modulus, and the phase angle for the sample should be obtainable with a given static viscoelastic property of the material under static load. The complex relaxation moduli of the rough rice kernel were computed from the Burger's model describing creep behavior of the material which were obtained in the previous study. Also, the effects of cyclic load and moisture content of grain on the dynamic viscoelastic behavior of the samples were analized. The storage modulus of the rough rice kernel slightly increased with the frequency applied but at above the frequency of 0.1 Hz it was nearly constant with the frequency, and the loss modulus of the sample very rapidly decreased with increase in the frequency on those frequency ranges. It was shown that the storage modulus and the loss modulus of the sample increased with decrease in grain moisture content. Effect of grain moisture content on the storage modulus of the sample was highly significant than effect of the frequency applied, but effect of the frequency on the loss modulus of the sample was more significant than effect of grain moisture content.

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Studies on Rheological Properties of Rice Plants at the Booting Stage (이삭 밸 때 벼의 리올러지 특성(特性)에 관한 연구(硏究))

  • Hu, Y.K.;Lee, S.W.
    • Journal of Biosystems Engineering
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    • v.16 no.1
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    • pp.37-48
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    • 1991
  • Rice plants are subjected to various forces such as natural force of wind and mechanical force of cultivating machines. Rheological behavior of the rice stem can be expressed in terms of three variables : stress, relaxation and time. The objectives of this study are to examine stress relaxation, creep and recovery characteristics on the rice stem in case of axial and radial loading. Stress relaxation with time was studied on three levels of loading rate and on four levels of applied stress. The results were summarized as follows : 1. The hysterisis losses of the rice stem distinctly observed at the radial compression in comparison with axial compression. The hysterisis loss implied that the stem to absorbed energy without being deformed beyond the yield point. 2. Ageneralized Maxwell model consisting of three elements gave a good description of the relaxation behavior of the rice stem. Rate of loading was more significant on the observed relaxation behavior within the short relaxation time, but there were little influences of rate of loading on the relaxation time. 3. The stress relaxation intensity and the residual stress increased in magnitude as the applied stress increased, but the relaxation time was little affected by the applied stress. 4. The coefficients of the stress relaxation model showed much differences in the radial compression and the axial compression, especially the higher relaxation stress of the third element was observed in the radial compression. 5. The behaviors of rice stem in creep and recovery test also might be represented by a four element Burger's model. But the coefficients of the creep model were different from those of the recovery model. 6. The steady-state phenomena of creep appeared at the stress larger than 20 MPa in Samkang and 1.8 MPa in Whajin. 7. The elastic modulus of the stem showed the range from 40 to 60 MPa. It could be considered, as a result, the rice stems had viscoelastic properties.

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Silicate dispersion and rheological properties of high impact polystyrene/organoclay nanocomposites via in situ polymerization

  • Kim, Byung-Chul;Lee, Seong-Jae
    • Korea-Australia Rheology Journal
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    • v.20 no.4
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    • pp.227-233
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    • 2008
  • High impact polystyrene (HIPS)/organoclay nanocomposites via in situ polymerization were synthesized and their rheological properties were investigated. For the study, two types of organoclays were used: a commercially available organoclay, Cloisite 10A (C10A), and a laboratory-prepared organoclay having a reactant group, vinylclay (ODVC). The X-ray diffraction and transmission electron microscopy experiments revealed that the HIPS/ODVC nanocomposite achieved an exfoliated structure, whereas the HIPS/C10A nanocomposite achieved an intercalated structure. In the small-amplitude oscillatory shear experiments, both storage modulus and complex viscosity increased with increasing organoclay. A pronounced effect of the organoclay content was observed, resulting in larger storage modulus and stronger yield behavior in the low frequency region when compared to neat HIPS. The crossover frequencies associated with the inverse of a longest relaxation time decreased as the organoclay content increased. Over a certain value of ODVC content, a change of pattern in rheological properties could be found, indicating a solid-like response with storage modulus greater than loss modulus at all frequencies.

Crystallization and Molecular Relaxation of Poly(Ethylene Terephthalate) Annealed in Supercritical Carbon Dioxide

  • Jung, Yong-Chae;Cho, Jae-Whan
    • Fibers and Polymers
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    • v.6 no.4
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    • pp.284-288
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    • 2005
  • Poly(ethylene terephthalate) was annealed at different temperature and pressure of supercritical carbon dioxide $(CO_2)$ using samples quenched from the melt. Crystallization and molecular relaxation behavior due to $CO_2-annealing$ of samples were investigated using differential scanning calorimetric and dynamic mechanical measurements. The glass transition and crystallization temperatures significantly decreased with increasing temperature and pressure of $CO_2$. The dynamic mechanical measurement of samples annealed at $150^{\circ}C$ in supercritical $CO_2$ showed three relaxation peaks, corresponding to existence of different amorphous regimes such as rigid, intermediate, and mobile domains. As a result, the mobile chains were likely to facilitate crystallization in supercritical state. It also led to the decreased modulus of $CO_2-annealed$ samples with increasing pressure.

Dynamic Properties of Starch and Rheological Effect of Fish Protein Gel upon the Addition of Starch (전분의 동적 특성 및 전분 첨가시 생선 단백질 젤의 물성학적 특성변화)

  • Pyun, So-Hee;Kang, Byung-Sun;Kim, Byung-Yong
    • Applied Biological Chemistry
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    • v.40 no.5
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    • pp.427-432
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    • 1997
  • 감자전분의 수분함량에 따라 가열하는 동안 전분의 점탄성 성질의 변화를 조사한 결과 전분의 농도가 증가할수록 더 높은 storage modulus (G#)와 loss modulus (G@) 값을 보여주었으며, 호화개시온도 및 호화최대값을 나타내는 온도는 전분농도에 따라 낮은 온도로의 이전을 보여주었다. 20%의 감자전분과 옥수수전분을 비교한 결과, 옥수수전분은 $68^{\circ}C$, 감자전분은 $60^{\circ}C$에서의 호화개시온도를 나타내었으나, G#와 G@값은 옥수수전분이 높게 나타났고 이와 같이 서로 다른 호화개시온도, 호화정도 및 그 최대값을 나타내는 온도변화는 아밀로즈/아밀로팩틴의 함량과 전분 입자의 크기에 따른 것으로 여겨진다. 감자와 옥수수 전분을 각각 3%씩 첨가하여 만든 생선단백질 젤의 파손강도를 측정한 결과 전분들을 첨가한 단백질 젤이 무첨가한 젤보다 더 강하게 나타났으며, 옥수수 전분의 첨가가 감자전분 첨가보다 더 강한 젤의 강도를 나타내었다 혼합비를 달리 첨가하여 만든 겔을 응력완화현상을 측정한 결과 감자 및 옥수수 전분을 첨가한 경우는 초기순간응력, 평형응력 뿐만 아니라 전체적인 응력의 증가현상이 일어났으나 3요소 일반화된 Maxwell 모형으로 분석한 결과는 감자 전분과 옥수수전분에 의한 탄성을 (elastic modulus) 상승효과는 첨가농도의 의존성을 보여 주었다.

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Response of temperature dependence of an elastic modulus in microstretch generalized thermoelasticity

  • Kumar, Rajneesh;Gupta, Rajani Rani
    • Structural Engineering and Mechanics
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    • v.30 no.5
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    • pp.577-592
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    • 2008
  • Laplace-Fourier transform techniques are used to investigate the interaction caused by mechanical, thermal and microstress sources in a generalized thermomicrostretch elastic medium with temperature-dependent mechanical properties. The modulus of elasticity is taken as a linear function of reference temperature. The integral transforms are inverted using a numerical technique to obtain the normal stress, tangential stress, tangential couple stress, microstress and temperature distribution. Effect of temperature dependent modulus of elasticity and thermal relaxation times have been depicted graphically on the resulting quantities. Comparisons are made with the results predicted by the theories of generalized thermoelasticity. Some particular cases are also deduced from the present investigation.

Computational viscoelastic modeling of strain rate effect on recycled aggregate concrete

  • Suthee Piyaphipat;Boonchai Phungpaingam;Kamtornkiat Musiket;Yunping Xi
    • Computers and Concrete
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    • v.32 no.4
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    • pp.383-392
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    • 2023
  • The mechanical properties of Recycled Aggregate Concrete (RAC) with 100 percent Recycled Coarse Aggregate (RCA) under loading rates were investigated in depth. The theoretical model was validated utilizing the RAC elastic modulus obtained from cylindrical specimens subjected to various strain rates. Viscoelastic theories have traditionally been used to describe creep and relaxation of viscoelastic materials at low strain rates. In this study, viscoelastic theories were extended to the time domain of high strain rates. The theory proposed was known as reversed viscoelastic theory. Normalized Dirichlet-Prony theory was used as an illustration, and its parameters were determined. Comparing the predicted results to the experimental data revealed a high level of concordance. This methodology demonstrated its ability to characterize the strain rate effect for viscoelastic materials, as well as its applicability for determining not only the elastic modulus for viscoelastic materials, but also their shear and bulk moduli.

Methodologies for numerical modelling of prestressed concrete box-girder for long term deflection

  • Lalanthi, M.C.;Kamatchi, P.;Balaji Rao, K.;Saibabu, S.
    • Computers and Concrete
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    • v.21 no.3
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    • pp.269-278
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    • 2018
  • In this paper, two methods M1 and M2 to determine long-term deflection through finite element analyses including the effect of creep and relaxation are proposed and demonstrated for a PSC box-girder. In both the methods, the effect of creep is accounted by different models from international standards viz., ACI-209R-92, CEB MC 90-99, B3 and GL2000. In M1, prestress losses due to creep and relaxation and age adjusted effective modulus are estimated through different models and have been used in finite element (FE) analyses for individual time steps. In M2, effects of creep and relaxation are implemented through the features of FE program and the time dependent analyses are carried out in single step. Variations in time-dependent strains, prestress losses, stresses and deflections of the PSC box-girder bridge through M1 and M2 are studied. For the PSC girder camber obtained from both M1 and M2 are lesser than simple bending theory based calculations, this shows that the camber is overestimated by simple bending theory which may lead to non-conservative design. It is also observed that stresses obtained from FEM for bottom fibre are lesser than the stresses obtained from bending theory at transfer for the PSC girder which may lead to non-conservative estimates.

Stress gradient relaxation and property modification of polysilicon films by ion implantation (이온 주입에 의한 다결정 실리콘의 응력 구배 완화 및 물성 개선)

  • Seok, Ji-Won;Gang, Tae-Jun;Lee, Sang-Jun;Lee, Jae-Hyeong;Lee, Jae-Sang;Han, Jun-Hui;Lee, Ho-Yeong;Kim, Yong-Hyeop
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.10
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    • pp.73-78
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    • 2003
  • MEMS technology in the field of aerospace engineering is more important with light weight and high resolution. Therefore the investigation of thin films properties is issued and the residual stress of thin filrns is one of the important problems to solve. Ion implantation without thermal annealing is applied for the stress gradient relaxation of LPCVD polysilicon films used as the structural part in MEMS. He+ and Ar+ ion implantations reduce the stress gradient of polysilicon films. The property modification of polysilicon films by ion implantation is also investigated. The elastic modulus and hardness of polysilicon films with ion implantation is studied by CSM method which is an advanced nano-indentation method. Ion implantation decreases the elastic modulus and hardness of polysilicon films. However, they are improved with increasing ion dose.