• 제목/요약/키워드: nonlinear elastic strain

검색결과 188건 처리시간 0.039초

Compressive Creep Behavior of Fruits

  • Kim, M.S.;Park, J.M.
    • 한국농업기계학회:학술대회논문집
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    • 한국농업기계학회 1993년도 Proceedings of International Conference for Agricultural Machinery and Process Engineering
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    • pp.1329-1339
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    • 1993
  • Creep tests were performed to determine the nonlinear viscoelastic properties of apples and pears with the creep experiment apparatus designed in this study. Compressive creep characteristics of fruits were tested at two kinds of storage conditions, four periods of storage and three levels of initial stress. Ten replications were made at each treatment combination. The creep behavior of the fruits could be well described by the nonlinear viscoelastic model as a function of initial stress and time. however, for each level of initial stress applied, the compressive behavior of the samples was satisfactorily represented by Burger's model. For all sample fruits, the longer the samples was stored, the higher the instantaneous elastic strain was observed, and the creep progressed at a high rate. These phenomena were even more remarkable on the fruit stored at the normal temperature storage rather than at the low temperature storage.

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안티푸라민-에스® 로션의 레올로지 특성 연구 (Rheological Properties of Antiphlamine-S® Lotion)

  • 국화윤;송기원
    • Journal of Pharmaceutical Investigation
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    • 제39권3호
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    • pp.185-199
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    • 2009
  • Using a strain-controlled rheometer [Advanced Rheometric Expansion System (ARES)], the steady shear flow properties and the dynamic viscoelastic properties of $Antiphlamine-S^{(R)}$ lotion have been measured at $20^{\circ}C$ (storage temperature) and $37^{\circ}C$ (body temperature). In this article, the temperature dependence of the linear viscoelastic behavior was firstly reported from the experimental data obtained from a temperature-sweep test. The steady shear flow behavior was secondly reported and then the effect of shear rate on this behavior was discussed in detail. In addition, several inelastic-viscoplastic flow models including a yield stress parameter were employed to make a quantitative evaluation of the steady shear flow behavior, and then the applicability of these models was examined by calculating the various material parameters. The angular frequency dependence of the linear viscoelastic behavior was nextly explained and quantitatively predicted using a fractional derivative model. Finally, the strain amplitude dependence of the dynamic viscoelastic behavior was discussed in full to elucidate a nonlinear rheological behavior in large amplitude oscillatory shear flow fields. Main findings obtained from this study can be summarized as follows : (1) The linear viscoelastic behavior is almostly independent of temperature over a temperature range of $15{\sim}40^{circ}C$. (2) The steady shear viscosity is sharply decreased as an increase in shear rate, demonstrating a pronounced Non-Newtonian shear-thinning flow behavior. (3) The shear stress tends to approach a limiting constant value as a decrease in shear rate, exhibiting an existence of a yield stress. (4) The Herschel-Bulkley, Mizrahi-Berk and Heinz-Casson models are all applicable and have an equivalent validity to quantitatively describe the steady shear flow behavior of $Antiphlamine-S^{(R)}$ lotion whereas both the Bingham and Casson models do not give a good applicability. (5) In small amplitude oscillatory shear flow fields, the storage modulus is always greater than the loss modulus over an entire range of angular frequencies tested and both moduli show a slight dependence on angular frequency. This means that the linear viscoelastic behavior of $Antiphlamine-S^{(R)}$ lotion is dominated by an elastic nature rather than a viscous feature and that a gel-like structure is present in this system. (6) In large amplitude oscillatory shear flow fields, the storage modulus shows a nonlinear strain-thinning behavior at strain amplitude range larger than 10 % while the loss modulus exhibits a weak strain-overshoot behavior up to a strain amplitude of 50 % beyond which followed by a decrease in loss modulus with an increase in strain amplitude. (7) At sufficiently large strain amplitude range (${\gamma}_0$>100 %), the loss modulus is found to be greater than the storage modulus, indicating that a viscous property becomes superior to an elastic character in large shear deformations.

Strength and strain modeling of CFRP -confined concrete cylinders using ANNs

  • Ozturk, Onur
    • Computers and Concrete
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    • 제27권3호
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    • pp.225-239
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    • 2021
  • Carbon fiber reinforced polymer (CFRP) has extensive use in strengthening reinforced concrete structures due to its high strength and elastic modulus, low weight, fast and easy application, and excellent durability performance. Many studies have been carried out to determine the performance of the CFRP confined concrete cylinder. Although studies about the prediction of confined compressive strength using ANN are in the literature, the insufficiency of the studies to predict the strain of confined concrete cylinder using ANN, which is the most appropriate analysis method for nonlinear and complex problems, draws attention. Therefore, to predict both strengths and also strain values, two different ANNs were created using an extensive experimental database. The strength and strain networks were evaluated with the statistical parameters of correlation coefficients (R2), root mean square error (RMSE), and mean absolute error (MAE). The estimated values were found to be close to the experimental results. Mathematical equations to predict the strength and strain values were derived using networks prepared for convenience in engineering applications. The sensitivity analysis of mathematical models was performed by considering the inputs with the highest importance factors. Considering the limit values obtained from the sensitivity analysis of the parameters, the performances of the proposed models were evaluated by using the test data determined from the experimental database. Model performances were evaluated comparatively with other analytical models most commonly used in the literature, and it was found that the closest results to experimental data were obtained from the proposed strength and strain models.

탄성계수 감소곡선에 근거한 철도노반의 회복탄성계수 모델 개발 및 평가 (Development and Assessment for Resilient Modulus Prediction Model of Railroad Trackbeds Based on Modulus Reduction Curve)

  • 박철수;황선근;최찬용;목영진
    • 대한토목학회논문집
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    • 제29권2C호
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    • pp.71-79
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    • 2009
  • 본 연구에서는 국내 철도 토공노반 재료로 가장 흔히 사용되는 입도조정쇄석, 화강풍화토, 암버럭-토사 혼합 재료에 대해 평균유효주응력과 축변형률의 함수로 표현되는 회복탄성계수 예측모델을 결정하였다. 회복탄성계수 예측모델은 대표적인 동적물성치인 변형률에 따른 전단탄성계수 감소곡선의 표현과 같이 최대영탄성계수와 정규화 영탄성계수 감소곡선으로 구성된다. 평균유효주응력의 함수로 표현되는 최대영탄성계수의 모델인자는 $A_E$$n_E$이고, 비선형 영역의 정규화 영탄성계수 감소곡선은 기준변형률(${\varepsilon}_r$)과 곡률계수(a)를 모델인자로 하는 수정 쌍곡선 모델로 표현된다. 제안된 회복탄성계수 예측모델을 검증하기 위해 3차원 다층탄성해석 프로그램(GEOTRACK)을 이용하여 평택 시험 철도노반의 탄성거동을 평가하였고, 화물열차 및 여객열차가 시험구간을 통과할 때 계측한 노반의 수직 탄성변위와 비교하였다. 현장계측은 자갈도상 아래의 재료가 각각 입도조정쇄석과 양질의 화강풍화토인 두 개소에서 수행되었다. 자갈도상 아래에서 계산된 수직 탄성변위는 대략 0.6mm 이내였고 계측 결과와 잘 일치하였다. 본 연구를 통해 제안된 회복탄성계수 예측모델이 열차하중에 의한 노반의 탄성거동을 적절히 표현하고 있음을 확인하였다.

강구조 특수모멘트골조의 보 소성변형요구량 평가 (Estimation of Beam Plastic Rotation Demands for Special Moment-Resisting Steel Frames)

  • 엄태성
    • 한국강구조학회 논문집
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    • 제23권4호
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    • pp.405-415
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    • 2011
  • 건축물의 안전한 내진설계를 위해서는 층간변위비 뿐만 아니라 부재에 요구되는 소성변형을 평가하여야 한다. 본 연구에서는 복잡한 비선형해석 없이 탄성해석을 사용하여 강기둥-약보로 설계된 철골 특수모멘트골조의 보에 요구되는 소성변형을 평가하는 간편한 방법을 개발하였다. 개발한 방법은 탄성해석 결과를 근거로 모멘트 재분배, 기둥 단면치수 및 보 소성힌지 이동, 패널존 변형, 중력하중, 변형경화 거동 등을 고려하여 보의 소성변형각을 직접적으로 예측한다. 또한 가새골조 또는 코어벽 등 횡력 저항구조와 모멘트골조의 상호 작용인 로킹 효과 고려한다. 검증을 위하여 강기둥-약보로 설계된 6층 특수모멘트골조에 제안된 방법을 적용하여 보의 소성변형각을 예측하고, 그 결과를 비선형 해석 결과와 비교하였다. 검증 결과, 제안된 방법은 설계 변수에 따른 보의 소성변형각을 합리적으로 예측하는 것으로 나타났다.

Nonlinear vibration analysis of piezoelectric plates reinforced with carbon nanotubes using DQM

  • Arani, Ali Ghorbanpour;Kolahchi, Reza;Esmailpour, Masoud
    • Smart Structures and Systems
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    • 제18권4호
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    • pp.787-800
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    • 2016
  • The aim of the paper is to analyze nonlinear transverse vibration of an embedded piezoelectric plate reinforced with single walled carbon nanotubes (SWCNTs). The system in rested in a Pasternak foundation. The micro-electro-mechanical model is employed to calculate mechanical and electrical properties of nanocomposite. Using nonlinear strain-displacement relations and considering charge equation for coupling between electrical and mechanical fields, the motion equations are derived based on energy method and Hamilton's principle. These equations can't be solved analytically due to their nonlinear terms. Hence, differential quadrature method (DQM) is employed to solve the governing differential equations for the case when all four ends are clamped supported and free electrical boundary condition. The influences of the elastic medium, volume fraction and orientation angle of the SWCNTs reinforcement and aspect ratio are shown on frequency of structure. The results indicate that with increasing volume fraction of SWCNTs, the frequency increases. This study might be useful for the design and smart control of nano/micro devices such as MEMS and NEMS.

Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magneto-elastic bending, buckling and vibration solutions

  • Alimirzaei, S.;Mohammadimehr, M.;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • 제71권5호
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    • pp.485-502
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    • 2019
  • In this research, the nonlinear static, buckling and vibration analysis of viscoelastic micro-composite beam reinforced by various distributions of boron nitrid nanotube (BNNT) with initial geometrical imperfection by modified strain gradient theory (MSGT) using finite element method (FEM) are presented. The various distributions of BNNT are considered as UD, FG-V and FG-X and also, the extended rule of mixture is used to estimate the properties of micro-composite beam. The components of stress are dependent to mechanical, electrical and thermal terms and calculated using piezoelasticity theory. Then, the kinematic equations of micro-composite beam using the displacement fields are obtained. The governing equations of motion are derived using energy method and Hamilton's principle based on MSGT. Then, using FEM, these equations are solved. Finally the effects of different parameters such as initial geometrical imperfection, various distributions of nanotube, damping coefficient, piezoelectric constant, slenderness ratio, Winkler spring constant, Pasternak shear constant, various boundary conditions and three material length scale parameters on the behavior of nonlinear static, buckling and vibration of micro-composite beam are investigated. The results indicate that with an increase in the geometrical imperfection parameter, the stiffness of micro-composite beam increases and thus the non-dimensional nonlinear frequency of the micro structure reduces gradually.

고무와 섬유로 구성된 복합체 내의 섬유 끝 부분의 원형 균열에 대한 J-적분 (J-integral of Penny-Shaped Crack on the End of Stiff Fiber Embedded in Rubbery Materials)

  • 양경진;강기주
    • 대한기계학회논문집A
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    • 제26권4호
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    • pp.617-624
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    • 2002
  • An equation of J-integral for a penny-shaped crack at the end of the fiber embedded in rubber matrix is proposed. The values of J-integral for the specimens with various crack and specimen radius are obtained by FEA(Finite Element Analysis). The dimensional analysis is applied to derive an equation of J-integral as a nonlinear elastic energy release rate. The geometry and deformation calibration function in an equation of J can be expressed in a separated form. The geometry calibration function characterizing the effects of cord and specimen size is expressed in a polynomial form of fourth order. The deformation calibration function characterizes the effect of the overall level of strain. As approaching the infinitesimal strain, the value of the deformation calibration function approaches the results of LEFM(Linear Elastic Fracture Mechanics).

강소성 유한요소법을 이용한 자동차 판넬 성형공정의 평면 변형해석 (Plane-Strain Analysis of Auto-Body Panel Using the Rigid-Plastic Finite Element Method)

  • 양동열;정완진;송인섭;전기찬;유동진;이정우
    • 대한기계학회논문집
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    • 제15권1호
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    • pp.169-178
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    • 1991
  • 본 연구에서는 평면 변형률 강소성 유한요소법을 이용하여 유한요소 수식화를 유도하고 금형이 해석저인 함수로 묘사되는 드로잉 공정을 해석하고, 금형이 해석적인 함수로 묘사되지 않는 실제적인 자동차 성형품의 드로잉 공정을 해석하여 기존의 결과 와 비교하여 본 방법의 타당성을 검토하였다.

Solution for a circular tunnel in strain-softening rock with seepage forces

  • Wei, Luo;Zo, Jin-feng;An, Wei
    • Geomechanics and Engineering
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    • 제22권6호
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    • pp.553-564
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    • 2020
  • In this study, a simple numerical approach for a circular tunnel opening in strain-softening surrounding rock is proposed considering out-of-plane stress and seepage force based on Biot's effective stress principle. The plastic region of strain-softening surrounding rock was divided into a finite number of concentric rings, of which the thickness was determined by the internal equilibrium equation. The increments of stress and strain for each ring, starting from the elastic-plastic interface, were obtained by successively incorporating the effect of out-of-plane stress and Biot's effective stress principle. The initial value of the outmost ring was determined using equilibrium and compatibility equations. Based on the Mohr-Coulomb (M-C) and generalized Hoek-Brown (H-B) failure criteria, the stress-increment approach for solving stress, displacement, and plastic radius was improved by considering the effects of Biot's effective stress principle and the nonlinear degradation of strength and deformation parameters in plastic zone incorporating out-of-plane stress. The correctness of the proposed approach is validated by numerical simulation.