• Title/Summary/Keyword: partial moduli

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Analysis of Static Crack Growth in Asphalt Concrete using the Extended Finite Element Method (확장유한요소법을 이용한 아스팔트의 정적균열 성장 분석)

  • Zi, Goangseup;Yu, Sungmun;Thanh, Chau-Dinh;Mun, Sungho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.4D
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    • pp.387-393
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    • 2010
  • This paper studies static crack growth of asphalt pavement using the extended finite element method (XFEM). To consider nonlinear characteristics of asphalt concrete, a viscoelastic constitutive equation using the Maxwell chain is used. And a linear cohesive crack model is used to regularize the crack. Instead of constructing the viscoelastic constitutive law from the Prony approximation of compliance and retardation time measured experimentally, we use a smooth log-power function which optimally fits experimental data and is infinitely differentiable. The partial moduli of the Maxwell chain from the log-power function make analysis easy because they change more smoothly in a more stable way than the ordinary method such as the least square method. Using the developed method, we can simulates the static crack growth test results satisfactorily.

Development of a Three-Dimensional Wind Field Model using the Principle of Variational Method (변분법 원리를 이용한 3차원 바람장 모델 개발)

  • Suh, Kyung-Suk;Kim, Eun-Han;Whang, Won-Tae;Han, Moon-Hee
    • Journal of Radiation Protection and Research
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    • v.28 no.2
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    • pp.97-108
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    • 2003
  • A three-dimensional wind field model based on the variational technique has been developed for estimating the overall wind patterns over a complex terrain. The three-dimensional elliptic partial differential equations on Cartesian and terrain-following coordinates have been established to obtain the Lagrangian multiplier and the adjusted wind velocity. The simulations were performed to evaluate the variations of the velocity vectors on the hemisphere, half-cylinder, and saddle type obstacles. Also, the wind field model in the terrain-following coordinate has been applied for evaluating the characteristics of wind patterns according to the variations of Gauss precision moduli on the hemispheric topography. The results showed that the horizontal and vertical wind components were strongly governed by the selection of the values of Gauss precision moduli.

Analysis of the Vibration Damping of a Single Lap Joint Beam with Partial Dampers (겹침이음부와 부분층댐퍼가 부착된 보의 진동감쇠해석)

  • 박정일;최낙삼
    • Composites Research
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    • v.12 no.2
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    • pp.26-35
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    • 1999
  • This paper presents the vibration damping characteristic of a single lap joint beam with partial dampers analyzed using the model strain energy method and the harmonic response analysis which were based on a finite element model. The two finite element analysis methods exhibited very similar results of the resonant frequency and system loss factor which were comparable to those by the theoretical analysis. Effects of the location of partial dampers and elastic moduli and thickness of their layers on the system loss factor were studied. The damping effects due to changes of modules and loss factor of the viscoelastic layer in lap joint and partial dampers were also studied. Consequently, the geometrical and material conditions at maximizing the system loss factor were suggested.

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Study on the change in stiffness of nailed joints due to creep (CREEP에 의한 못 결합부(結合部)의 강성도(剛性度)의 변화(變化)에 관한 연구(硏究))

  • Jang, Sang-Sik
    • Journal of the Korean Wood Science and Technology
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    • v.17 no.4
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    • pp.35-43
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    • 1989
  • Nailed joints, which are commonly used in Wooden structures, transmit loads from one member to another and induce partial composite actions between members. Long-term loads induce creep slip in nailed joints and affect load sharing and partial composite action, which may reduce joint stiffness. Two theoretical viscous-viscoelastic models were developed for nailed joints to predict creep behavior under long-term variable loads. Those models were also used to predict stiffness changes under long-term variable loads. The stiffness of nailed joint is defined as a Secant modulus which is called the joint modulus or slip modulus. Input data for the models are the results of constant load tests under three different load levels. To verify the models, nailed joints were also tested under two long-term variable load functions. The predictions of the models were very close to the experimental data. Therefore, the theoretical viscous-viscoelastic models and procedures developed in this study can be applied to predict creep slip and the changes in joint moduli of nailed joints under long-term variable loads.

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Load Sharing Ratios Between the Cortex and Centrum in a Lumbar Vertebral Body with aging using Finite Element Method (유한 요소 법을 이용한 노화에 따른 요추의 피질 골과 해면 골 간의 하중 분담 비율)

  • Lim, JongWan
    • Journal of Biomedical Engineering Research
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    • v.37 no.2
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    • pp.90-103
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    • 2016
  • This research was aimed to analyze load sharing ratios between cortical shell and trabecular bone of a degraded lumbar vertebra with aging, and also evaluate elastic moduli assigned into an FE model, using finite element method. For the better analysis of trabecular bone, effective elastic moduli, that is, nominal elastic moduli divided by the volumetric porosities was used. The elastic moduli of the cortical shell suitable for the trabecular bone were obtained from the equations on the basis of idealized stress-strain relations, including areal porosities. To minimize numerical errors, p-element was used. Using eight parameters that refer to some published papers, the geometry of L3 with a removed posterior part. After the constant compressive displacement was applied, the load sharing ratios were obtained by using both every elastic strain energy and every vertical force between two bones in each 8-volume. As results, 1) according to an increase in age from 20-year to 80-year, load sharing ratios of trabecular bone decreased from 55% to 49%; 2) the maximal ratios of each bone were occurred in the mid-plane of centrums and the endplate of cortical shells, respectively; 3) effective elastic moduli assigned into a porous centrum/cortex were found to be adequate; 4) for load sharing ratios, the difference of two methods showed that the total ratios were almost same within less than 1% but the partial ratios at every depth were more or less different each other.

New Resonance Scattering Theory of Electromagnetic Waves for a Homogeneous Dielectric Cylinder (원통형 유전체에 대한 전자기파의 새로운 공진산란 이론)

  • 정용화;안창회;최명선
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.13 no.1
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    • pp.87-93
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    • 2002
  • The previous RST postulates that the scattering field, within each modal partial wave, comprise of the resonance and the background components. The new RST is recently developed by the product expansion of the scattering functions in the field of acoustics. The new formulation suggests that the scattering coefficients consist of resonance, non-resonance, and their interactional portions. In the scattering problems of acoustic waves, the moduli and phase of the resonance coefficient are obtained correctly by the new RST. In our recent works the new RST was successfully applied to the scattering problem of electromagnetic waves for coated conducting cylinder and sphere. In this paper, the new RST is extended to the 2-dimensional scattering problem of electromagnetic waves for a homogeneous dielectric cylinder, and the numerical results are compared with the previous RST.

Impact of Xanthan-locust Bean Gum Mixtures on Pasting/Paste Characteristics and Freeze-thaw Stabilities of Waxy Rice Starch (찹쌀 전분의 페이스팅/페이스트 특성 및 냉해동 안정성에 대한 잔탄검-로커스트콩검 혼합물의 영향)

  • Kim, Hyun-Seok
    • Korean Journal of Food Science and Technology
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    • v.46 no.5
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    • pp.593-600
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    • 2014
  • Normal rice starch (NRS) possesses high gelling and retrogradation tendencies, with poor freeze-thaw stability. This study investigated the effects of partial replacement of waxy rice starch (WRS) with gums on the pasting and viscoelastic properties as well as the freeze-thaw stability of the WRS paste. Xanthan gum (XAT), locust bean gum (LBG), and their mixtures were individually mixed with WRS at a ratio of 1:19 (w/w). WRS-gum mixtures were pasted using a rapid visco-analyzer at 5% total solid content, and analyzed with respect to the pasting and viscoelastic characteristics, and freeze-thaw stability. Pasting properties of WRS were retarded in pasting temperature and enhanced in pasting viscosity (although peak viscosity was varied) by partial replacement with gum and gum mixtures. Storage moduli of WRS-XAT:LBG pastes became similar to those of NRS paste with increasing angular frequency from 1 to 10 rad/s. Finally, WRS-XAT and WRS-XAT:LBG possessed more enhanced freeze-thaw stability than NRS.