• 제목/요약/키워드: deformation modulus

검색결과 601건 처리시간 0.03초

리올러지 모델을 이용한 열적 기계적 변형 거동 모사 (A Description of Thermomechanical Behavior Using a Rheological Model)

  • 이금오;홍성구;이순복
    • 대한기계학회논문집A
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    • 제30권7호
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    • pp.757-764
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    • 2006
  • Isothermal cyclic stress-strain deformation and thermomechanical deformation (TMD) of 429EM stainless steel were analyzed using a rheological model employing a bi-linear model. The proposed model was composed of three parameters: elastic modulus, yield stress and tangent modulus. Monotonic stress-strain curves at various temperatures were used to construct the model. The yield stress in the model was nearly same as 0.2% offset yield stress. Hardening relation factor, m, was proposed to relate cyclic hardening to kinematic hardening. Isothermal cyclic stress-strain deformation could be described well by the proposed model. The model was extended to describe TMD. The results revealed that the hi-linear thermomechanical model overestimates the experimental data under both in-phase and out-of-phase conditions in the temperature range of $350-500^{\circ}C$ and it was due to the enhanced dynamic recovery effect.

Non-classical plate model for single-layered graphene sheet for axial buckling

  • Safaei, Babak;Khoda, Farzad Hamed;Fattahi, A.M.
    • Advances in nano research
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    • 제7권4호
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    • pp.265-275
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    • 2019
  • In this work, the effect of size on the axial buckling behavior of single-layered graphene sheets embedded in elastic media is studied. We incorporate Eringen's nonlocal elasticity equations into three plate theories of first order shear deformation theory, higher order shear deformation theory, and classical plate theory. The surrounding elastic media are simulated using Pasternak and Winkler foundation models and their differences are evaluated. The results obtained from different nonlocal plate theories include the values of Winkler and Pasternak modulus parameters, mode numbers, nonlocal parameter, and side lengths of square SLGSs. We show here that axial buckling behavior strongly depends on modulus and nonlocal parameters, which have different values for different mode numbers and side lengths. In addition, we show that in different nonlocal plate theories, nonlocality is more influential in first order shear deformation theory, especially in certain range of nonlocal parameters.

응력이 공내 변형률에 미치는 영향 (The Effect of Stress on Borehole Deformability)

  • 윤건신
    • 한국지반공학회지:지반
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    • 제14권5호
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    • pp.219-234
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    • 1998
  • 초기수평 응력상태를 모사하여 응력이 변형계수에 미치는 영향을 검토 하기 위하여 암석 시료에 대하여 공내재하 변형 실내시험을 했다. 실험은 수평 응력의 크기, 응력비, 측정지점을 변화 시켜서 변형계수를 측정하였다. 측정결과 응력의 크기가 증가함에 따라 변형계수가 증가하며 최대 최소응력비가 커짐에 따라 변형계수는 최소응력 방향에서는 증가하고, 최대응력 방향에서는 감소하는 경향을 보였다. 이는 측정 위치에서 접선음력의 크기 변화에 따른 것으로 초기응력의 크기, 방향 및 내압의 크기에 따라 응력이 압축, 인장 또는 압축-인장상태로 바뀌기 때문이다. 따라서 변형 계수 측정시 이들의 영향을 분석한 후 결과치를 해석하여야 한다. 이와 같은 해석은 공내재하 변형 측정 결과 뿐만 아니라 내압이 있는 가스 저장 또는 압축터널 설계 및 터널 계측 결과 해석에도 적용 되어야 한다.

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고결모래의 콘선단저항과 변형계수의 관계 (Relation between Cone Tip Resistance and Deformation Modulus of Cemented Sand)

  • 이문주;최성근;추현욱;이우진
    • 한국지반공학회논문집
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    • 제24권12호
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    • pp.53-63
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    • 2008
  • 본 연구에서는 대형 챔버시험을 통해 결정된 고결모래의 콘선단저항과 고결모래의 횡방향구속 변형계수, 일축압축 강도, 전단강도와의 관계를 검토하였다. 시험결과 모래의 상대밀도나 연직구속압 뿐만 아니라 고결효과가 커질수록 콘선단저항과 횡방향구속 변형계수가 증가하였다. 모래의 횡방향구속 변형계수는 상대밀도나 연직구속압보다 고결의 영향이 더 크게 작용하며, 반면 콘선단저항은 변형계수보다 상대밀도나 연직구속압의 영향이 더 크게 나타났다. 고결결합 미파괴 상태로 간주될 수 있는 일축압축강도, 전단강도, 횡방향구속 변형계수와는 달리 콘선단저항은 고결결합을 파괴하며 측정되기 때문에, 고결모래의 변형계수를 $70{\sim}85%$ 정도 과소평가하였다. 또한 본 연구에서는 회귀분석을 통해 고결모래의 콘선단저항과 전단강도의 관계, 콘선단저항과 일축압축강도의 관계, 그리고 횡방향구속 변형계수와 콘선단저항, 일축압축강도의 관계가 표현되었다.

암석의 강도 및 변형거동의 온도의존성에 관한 연구 (A Study on Temperature Dependency of Strength and Deformation Behavior of Rocks)

  • 이형원;이정인
    • 터널과지하공간
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    • 제6권2호
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    • pp.101-121
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    • 1996
  • The thermomechanical characteristics of rocks such as temperature dependency of strength and deformation were experimentally investigated using Iksan granite, Cheonan tonalite and Chung-ju dolomite for proper design and stability analysis of underground structures subjected to temperature changes. For the temperature below critical threshold temperature $T_c$, the variation of uniaxial compressive strength, Young's modulus, Brazilian tensile strength and cohesion with temperature were slightly different for each rock type, but these mechanical properties decreased at the temperatures above $T_c$ by the effect of thermal cracking. Tensile strength was most affected by $T_c$, and uniaxial compressive strength was least affected by $T_c$. To the temperature of 20$0^{\circ}C$ with the confining prressure to 150 kg/$\textrm{cm}^2$, failure limit on principal stress plane and failure envelope on $\sigma$-$\tau$ plane of Iksan granite were continuously lowered with increasing temperature but those of Cheonan tonalite and Chung-ju dolomite showed different characteristics depending on minor principal stress on principal stress plane and normal stress on $\sigma$-$\tau$ plane. The reason for this appeared to be the effect of rock characteristics and confining pressure. Young's modulus was also temperature and pressure dependent, but the variation of Young's modulus was about 10%, which was small compared to the variation of compressive strength. In general, Young's modulus increased with increasing confining pressure and increased or decreased with increasing temperature to 20$0^{\circ}C$ depending on the rock type.

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고온 및 저온하에서의 암석의 변형, 파괴 특성 (Failure and Deformation Characteristics of Rock at High and Low Temperatures)

  • 정재훈;김영근;이형원;이희근
    • 터널과지하공간
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    • 제2권2호
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    • pp.224-236
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    • 1992
  • It is very important to determine the thermo-mechanical characteristics of the rock mass surrounding the repository of radioctive waste and the LPG storage cavern. In this study, Hwasoon-Shist. Dado-Tuff adn Chunan-Tonalite were the selected rock types. Temperature dependence of the mechanical properteis such as uniaxial compressive strength, tensile strength, Young's modulus was investigated by measuring the behaviour of these properties due to the variation of temperature. Also, the characteristics of strength and deformation of these rocks were examined through high-temperature triaxial compression tests with varing temperatures and confining pressures. Important results obtained are as follows: In high temperature tests, the uniaxial compressive strength and Yong's modulus of Tonalite showed a sligth increase at a temperature up to 300$^{\circ}C$ and a sharp decrease beyond 300$^{\circ}C$, and the tensile strength showed a linear decrease with increasing heating-temperature. In high-temperature triaxial compression test, both the failure stress and Young's modulus of Tonalite increased with the increase of confining pressure at constant heating-temperature, and the failure stress decreased at 100$^{\circ}C$ but increased at 200$^{\circ}C$ under a constant confining pressure. In low temperature tests, the uniaxial compressive and tensile strengths and Young's modulus of these rocks increased as the cooling-temperature is reduced. Also, the uniaxial compressive and tensile strengths of wet rock specimens are less than those of dry rock specimens.

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산화막 CMP에서 패드 두께가 연마율과 연마 불균일도에 미치는 영향 (Effect of Pad Thickness on Removal Rate and Within Wafer Non-Uniformity in Oxide CMP)

  • 배재현;이현섭;박재홍;니시자와 히데키;키노시타 마사하루;정해도
    • 한국전기전자재료학회논문지
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    • 제23권5호
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    • pp.358-363
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    • 2010
  • The polishing pad is important element for polishing characteristic such as material removal rate(MRR) and within wafer non-uniformity(WIWNU) in the chemical mechanical planarization(CMP). The result of the viscoelasticity measurement shows that 1st elastic modulus is increased and 2nd elastic modulus is decreased when the top pad is thickened. The finite element analysis(FEA) was conducted to predict characteristic of polishing behavior according to the pad thickness. The result of polishing experiment was similar with the FEA, and it shows that the 1st elastic modulus affects instantaneous deformation of pad related to MRR. And the 2nd elastic modulus has an effect on WIWNU due to the viscoelasticity deformation of pad.

Method of Deciding Elastic Modulus of Left and Right Ventricle Reconstructed by Echocardiography Using Finite Element Method and Stress Analysis

  • Han, Geun-Jo;Kim, Sang-Hyun
    • 대한의용생체공학회:의공학회지
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    • 제15권2호
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    • pp.217-224
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    • 1994
  • In order to study the shape and dimensions of heart, a procedure to reconstruct a three dimensional left ventricular geometry from two dimensional echocardiographic images was studied including the coordinate transformation, curve fitting and interpolation utilizing three dimensional position registration arm. Nonlinear material property of the left ventricular myocardium was obtained by finite element method performed on the reconstructed geometry and by optimization techniques which compared the computer predicted 3D deformation with the experimentally determined deformation. Elastic modulus ranged from 3.5g/$cm^2$ at early diastole to l53g/$cm^2$ at around end diastole showing slightly nonlinear relationship between the modulus and the pressure. Afterwards using the obtained nonlinear material propertry the stress distribution related with oxyzen consumption rate was analyzed. The maximum and minimum of ${\sigma}_1$ (max. principal stress) occurred at nodes on the second level intersection points of x-axis with endocardium and with epicardium, respectively. And the tendency of the interventricular septum to be flattened was observed from the compressive ${\sigma}_1$ on the anterior, posterior nodes of left ventricle and from the most significant change of dimension in $D_{RL}$ (septal-lateral dimension of right ventricle).

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동해 석회암과 SIG 고결체의 강도특성 (The Characteristic of Strength for a Lime Stone in Donghae Area and Harden Cement Milk of Super Injection Grouting)

  • 박영호;김낙영;홍사면;육정훈;김기석
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2004년도 춘계학술발표회
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    • pp.137-145
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    • 2004
  • Limestone zone in korea have been distributed to diagonal line so that it is wide from the Gangwondo to the Jeonlanamdo. The limestone cavity and fractured zone were formed by chemical weathering. Limestone cavity and fractured zone was reinforced with cemented milk(w/c=60%)by high pressure jet grouting by tripple -pipe to establish bridge foundation on the ground condition like limestone cavity. To analyze property of limestone and solid of cement milk(w/c=65%), mixed solid of cement, core NX size in the limestone cavity and fractured zone and compressive strength. Seismic tomograpy exploration was pcrforn1cd to analyze deformation modulus of limestone. The analysis suggests that deformation modulus of limestone has effect on uniaxial compressive strength, seismic velocity, seismic elasticity modulus. Average static elasticity modulus of limestone is $5.08{\times}10^5kgf/cm^2$, cement and coal mixed solid is $0.25{\times}10^5kgf/cm^2$, $0.095{\times}10^5kgf/cm^2$. Average seismic velocity of limestone is 5.240m/sec, cement and coal mixed solid is 2,211.3m/sec, 1,447.5m/sec. Average uniaxial compressive strength of limestone was $1,221.3kgf/cm^2$ and limestone specimen mixed with cement milk and solid of cement milk mixed with coal were $125.22kgf/cm^2$, $35kgf/cm^2$ each other. Average friction angle of limestone was $49.14^{\circ}$ and limestone specimen mixed with cement milk and solid of cement milk mixed with coal were $38.39^{\circ}, 25.83^{\circ}$ each other. Average cohesion of limestone was $137.7kgf/cm^2$ and limestone specimen mixed with cement milk and solid of cement milk mixed with coal were $23.5kgf/cm^2$, $15.5kgf/cm^2$ each other. Average deformation modulus of limestone was $2.84{\times}10^5kgf/cm^2$ and limestone specimen mixed with cement milk and solid of cement milk mixed with coal were $0.4{\times}10^5kgf/cm^2, 0.12{\times}10^5kgf/cm^2$ each other. It was analyzed that the elasticity and uniaxial compressive strength, seismic velocity of solid of cement milk mixed limestone pieces and coal had an highly interrelation regardless of existence of limestones pieces and coal but it had shown that limestones had an lower interrelation. In case of field seismic velocity and deformation of limestone, SIC solid of cement milk mixed with coal and limestone pieces had an highly interrelation.

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조립재료의 입도특성에 따른 동적 변형특성 평가 (Dynamic Deformation Properties of Coarse Granular Materials with Respect to Gradation Characteristics)

  • 하익수;김남룡
    • 한국지반공학회논문집
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    • 제29권8호
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    • pp.5-14
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    • 2013
  • 굵은 자갈 이상의 대입경 입자를 포함하는 조립질 지반재료는 댐, 제방, 철도 등 대형 지반구조물의 성토 및 채움재료로 널리 사용되며, 이러한 구조물의 동적 해석을 위해서는 축조재료의 변형특성에 대한 엄밀한 평가가 필수적이다. 본 연구에서는 대입경 조립재료의 동적 변형특성 평가를 위하여 지름 200mm, 높이 400mm의 공시체에 대한 시험이 가능하도록 개발된 대형 공진주시험기를 활용하여 댐 축조용 사력재의 최대전단탄성계수, 전단탄성계수감소곡선 및 감쇠비를 평가하였으며, 재료의 최대입경과 균등계수와 같은 입도분포특성이 재료의 변형특성에 미치는 영향을 확인하였다. 재료의 입경이 동적 변형특성에 미치는 영향을 평가한 결과, 동일한 균등계수에서 평균입경의 범위에 따른 전단탄성계수감소곡선에 차이가 발생함을 확인하였다. 동일한 최대입경에 대하여 균등계수를 달리하는 경우 균등계수에 따라 최대전단탄성계수의 구속압 영향계수가 증가함을 확인하였다. 결과적으로 조립재료의 입도 특성 중 최대입경은 전단탄성계수감소곡선을, 균등계수는 미소변형영역의 구속압 영향계수에 대한 영향요소임을 확인하였으며, 조립재료의 동적 변형특성을 엄밀히 평가하기 위한 대형 공진주시험기의 효용성을 확인하였다.