• 제목/요약/키워드: Elastic Strain

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초탄성고무 물성평가용 미소압입시험법 개발 및 검증 (Development and Verification of Micro-indentation Technique for Material Property Evaluation of Hyper-elastic Rubber)

  • 이형일;이진행
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.132-137
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    • 2004
  • In this work, effects of hyper-elastic rubber material properties on the indentation load-deflection curve and subindenter deformation are first examined via [mite element (FE) analyses. An optimal data acquisition spot is selected, which features maximum strain energy density and negligible frictional effect. We then contrive two normalized functions. which map an indentation load vs. deflection curve into a strain energy density vs. first invariant curve. From the strain energy density vs. first invariant curve, we can extract the rubber material properties. This new spherical indentation approach produces the rubber material properties in a manner more effective than the common uniaxial tensile/compression tests. The indentation approach successfully measures the rubber material properties and the corresponding nominal stress.strain curve with an average error less than 3%.

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Longitudinal vibration of a nanorod embedded in viscoelastic medium considering nonlocal strain gradient theory

  • Balci, Mehmet N.
    • Advances in nano research
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    • 제13권2호
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    • pp.147-164
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    • 2022
  • This article investigates the longitudinal vibration of a nanorod embedded in viscoelastic medium according to the nonlocal strain gradient theory. Viscoelastic medium is considered based on Kelvin-Voigt model. Governing partial differential equation is derived based on longitudinal equilibrium and analytical solution is obtained by adopting harmonic motion solution for the nanorod. Modal frequencies and corresponding damping ratios are presented to demonstrate the influences of nonlocal parameter, material length scale, elastic and damping parameters of the viscoelastic medium. It is observed that material length scale parameter is very influential on modal frequencies especially at lower values of nonlocal parameter whereas increase in length scale parameter has less effect at higher values of nonlocal parameter when the medium is purely elastic. Elastic stiffness and damping coefficient of the medium have considerable impacts on modal frequencies and damping ratios, and the highest impact of these parameters on frequency and damping ratio is seen in the first mode. Results calculated based on strain gradient theory are quite different from those calculated based on classical elasticity theory. Hence, nonlocal strain gradient theory including length scale parameter can be used to get more accurate estimations of frequency response of nanorods embedded in viscoelastic medium.

Dynamic analysis of higher order shear-deformable nanobeams resting on elastic foundation based on nonlocal strain gradient theory

  • Bensaid, Ismail;Bekhadda, Ahmed;Kerboua, Bachir
    • Advances in nano research
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    • 제6권3호
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    • pp.279-298
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    • 2018
  • Present investigation deals with the free vibration characteristics of nanoscale-beams resting on elastic Pasternak's foundation based on nonlocal strain-gradient theory and a higher order hyperbolic beam model which captures shear deformation effect without using any shear correction factor. The nanobeam is lying on two-parameters elastic foundation consist of lower spring layers as well as a shear layer. Nonlocal strain gradient theory takes into account two scale parameters for modeling the small size effects of nanostructures more accurately. Hamilton's principal is utilized to derive the governing equations of embedded strain gradient nanobeam and, after that, analytical solutions are provided for simply supported conditions to solve the governing equations. The obtained results are compared with those predicted by the previous articles available in literature. Finally, the impacts of nonlocal parameter, length scale parameter, slenderness ratio, elastic medium, on vibration frequencies of nanosize beams are all evaluated.

주기적인 충격력을 받는 탄소성 보의 케이오틱거동 연구 (A Study of Chaotic Responses of an Elastic-Plastic Beam Model to Periodic Impulsive Force)

  • 이재영
    • 대한기계학회논문집
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    • 제19권5호
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    • pp.1158-1167
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    • 1995
  • In this study, the dynamic instabilities of a beam, subjected to periodic short impulsive loading, are investigated using simple 2-DoF beam model. The behaviors of beam model whose axial motions are constrained are studied for the case of elastic and elastic-plastic behavior. In the case of elastic behavior, the chaotic responses due to the periodic pulse are identified, and the characteristics of the behavior are analysed by investigating the fractal attractors in the Poincare map. The short-term and long-term responses of the beam are unpredictable because of the extreme sensitivities to parameters, a hallmark of chaotic response. In the case of elastic-plastic behavior, the responses are governed by the plastic strains which occur continuously and irregularly as time increases. Thus the characteristics of the response behavior change continuously due to the plastic strain increments, and are unpredictable as well as the elastic case.

냉간 단조용 금형의 탄성변형 예측 (The Prediction of Elastic Deformation for Cold Forging Die)

  • 이영선
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 춘계학술대회논문집
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    • pp.108-111
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    • 1999
  • Elastic deformation of die has been investigated to improve the accuracy of cold forged parts. In order to improve the accuracy of forged parts we have investigated the elastic deformation of forging die by analysis with commercial. F. E. M code DEFORM and experiments using he strain gages. In the F. E. M analysis two types are used for elastic deformation of die. the one considers die as elastic body and the other considers the die as rigid body. The latter relatively takes a lot of time. The results from the two types are very similar with each other. Considering the results of analysis and experiments it is likely that the elastic strain of forging die is very small.

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DEPENDENCE OF RUBBER FRICTION UPON ITS ELASTIC CHARACTERISTICS

  • Nakamura, T.;Hanase, T.;Itoigawa, F.;Matsubara, T.
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2002년도 proceedings of the second asia international conference on tribology
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    • pp.187-188
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    • 2002
  • Rubber has large differences in elastic characteristics from the other solid materials such as metals. Firstly, the rubber exhibits considerably large elastic compliance. Second is highly non-linear elasticity in which the compliance decreases with increase in strain. The main objective in this research is to reveal the dependence of rubber friction upon these elastic characteristics of the rubber in detail. A super elastic FEM analysis is carried out with using an elastic property of practical rubber. From the calculated result, it is cleared that the rubber makes large real contacting area easier than the metals.

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고온에서 SiC 결정의 탄성율에 대한 분자동역학연구 (Molecular dynamic studies for elastic constant of SiC crystal at high temperature)

  • 박병우;신호용;김종호;임종인
    • 한국결정성장학회지
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    • 제20권5호
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    • pp.232-236
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    • 2010
  • SiC 세라믹스는 가볍고, 우수한 고온 강도 및 온도 안정성을 지니고 있어 고온 구조용 디바이스에 많이 응용되고 있다. 본 논문에서는 분자동역학을 이용하여 다양한 온도에서 SiC 결정의 탄성율 특성을 분석하고자 하였다. 이를 위하여 SiC 결정을 모델링하여 구성 원자 사이에 Tersoff 포텐셜을 적용하고, 분자동역학 프로그램인 LAMMPS S/W를 이용하여 상온부터 $1,250^{\circ}C$까지 응력-변위 거동(stress-strain behavior) 및 탄성율 변화를 분석하였다. 본 연구의 결과, SiC 결정은 잘 알려진 바와 같이 저온에서 탄성변형 특성을 보이지만, $1,000^{\circ}C$ 이상의 고온에서 높은 변위를 인가할 경우, 약간의 소성 변형 특성을 보이는 것으로 나타났다. 또한 상온부터 $1,250^{\circ}C$까지 온도가 증가함에 따라 SiC 결정의 탄성율은 약 475 GPa 부터 425 GPa의 범위에서 변화하는 것으로 분석되었다.

온도와 재령이 콘크리트의 동탄성계수와 정탄성계수의 상관관계에 미치는 영향 (Effect of Temperature and Aging on the Relationship between Dynamic and Static Elastic Modulus of Concrete)

  • 한상훈;김진근
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2001년도 가을 학술발표회 논문집
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    • pp.445-450
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    • 2001
  • The paper investigates the relationships between dynamic elastic modulus and static elastic modulus or compressive strength according to curing temperature, aging, and cement type. Based on this investigation, the new model equations are proposed. Impact echo method estimates the resonant frequency of specimens and uniaxial compression test measures the static elastic modulus and compressive strength. Type I and V cement concretes, which have the water-cement ratios of 0.40 and 0.50, are cured under the isothermal curing temperature of 10, 23, and 50 $^{\circ}C$. Cement type and aging have no large influence on the relationship between dynamic and static elastic modulus, but the ratio of dynamic and static elastic modulus comes close to 1 as temperature increases. Initial chord elastic modulus, which is calculated at lower strain level of stress-strain curve, has the similar value to dynamic elastic modulus. The relationship between dynamic elastic modulus and compressive strength has the same tendency as the relationship between dynamic and static elastic modulus. The proposed relationship equations between dynamic elastic modulus and static elastic modulus or compressive strength properly estimates the variation of relationships according to cement type, temperature, and aging.

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일방향으로 배열된 단섬유 보강 복합재료의 탄성률 예측 (Prediction of Elastic Modulus of Unidirectional Short Fiber Composite Materials)

  • 임태원;권영두;한경섭
    • 대한기계학회논문집
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    • 제14권2호
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    • pp.407-412
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    • 1990
  • Elastic modulus of unidirectional short fiber composite has theoretically derived with the consideration of Poisson's ratios of matrix and fiber. Unidirectional short fiber composite is modeled as an aggregate of grains developed by Kerner. Under the assumption of extra strain at fiber ends, the strain distribution along the fiber's length is determined, and the elastic modulus is derived from this distribution. For the consideration of effects of Poisson's ratio, Kerner's results for particulate composites are adapted as boundary conditions. The effect of differences in Poisson's ratio of fiber and matrix on elastic modulus is studied. Proposed equation shows a good agreement with experimental data of Halpin and Tock, et al.

Undrained solution for cavity expansion in strength degradation and tresca soils

  • Li, Chao;Zou, Jin-feng;Sheng, Yu-ming
    • Geomechanics and Engineering
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    • 제21권6호
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    • pp.527-536
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    • 2020
  • An elastic-plastic solution for cavity expansion problem considering strength degradation, undrained condition and initial anisotropic in-situ stress is established based on the Tresca yield criterion and cavity expansion theory. Assumptions of large-strain for plastic region and small-strain for elastic region are adopted, respectively. The initial in-situ stress state of natural soil mass may be anisotropic caused by consolidation history, and the strength degradation of soil mass is caused by structural damage of soil mass in the process of loading analysis (cavity expansion process). Finally, the published solutions are conducted to verify the suitability of this elastic-plastic solution, and the parametric studies are investigated in order to the significance of this study for in-situ soil test.