• 제목/요약/키워드: Poisson′s Ratio

검색결과 434건 처리시간 0.032초

미세평면 모델을 적용한 다축응력 상태의 콘크리트 크리프 분석 (Analysis on Creep of Concrete under Multiaxial Stresses Using Microplane Model)

  • 권승희;김윤용;김진근
    • 콘크리트학회논문집
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    • 제16권2호
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    • pp.195-204
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    • 2004
  • 기존의 다축응력 상태의 콘크리트 크리프 실험으로부터 제안된 푸아송비에 대한 연구결과는 서로 큰 차이를 나타내고 있다. 측정된 변형률로부터 계산된 푸아송비는 작은 실험 오차에 의해서도 매우 민감하며, 이러한 민감성은 푸아송비의 시간에 따른 변화와 응력상태에 따른 경향을 파악하는 데 있어 큰 어려움을 초래한다. 따라서 이러한 연구결과의 불일치를 해결하고 신뢰성 있는 결과를 도출하기 위해서 새로운 분석방법이 요구된다. 이 연구는 다축응력 상태의 크리프 실험결과에 대한 새로운 분석방법으로 미세평면 모델을 적용하였다. 미세평면 상에서 체적과 편차컴플라이언스에 대한 수학적 모델로는 이중지수 법칙을 사용하였다. 체적과 편차성분의 컴플라이언스는 여섯 개의 변수로 구성되며 실험결과를 최적으로 모사하는 변수를 최적화 기법으로부터 구하였다. 여섯 변수에 대한 회귀분석결과로 부터 계산된 푸아송비는 시간에 따라 변화하였다. 또한 시간에 따라 푸아송비가 일정하다는 조건에서 네 변수를 결정하였으며 이 때의 회귀분석결과와 실험 측정값 사이의 오차는 여섯 변수가 사용된 회귀분석결과의 오차에 비해 다소 크게 나타났다. 네 변수에 대한 회귀분석결과로부터 얻은 시간에 따라 일정한 푸아송비는 큰 오차 없이 실제의 구조해석에 유용하게 사용될 수 있을 것으로 판단된다.

Characterization of a carbon black rubber Poisson's ratio based on optimization technique applied in FEA data fit

  • Lalo, Debora Francisco;Greco, Marcelo;Meroniuc, Matias
    • Structural Engineering and Mechanics
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    • 제76권5호
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    • pp.653-661
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    • 2020
  • The paper presents a study regarding rubber compressibility behavior. The objective is to analyze the effect of compression degree of rubber on its mechanical properties and propose a new methodology based on reverse engineering to predict compressibility degree based on uniaxial stretching test and Finite Element Analysis (FEA). In general, rubbers are considered to be almost incompressible and Poisson's ratio is close to 0.5. Since this property is intimately related to the rubber packing density, little changes in Poisson's ratio can lead to significant changes regarding mechanical behavior. The deviatory hyperelastic constants were obtained through experimental data fitting by least squares method for the most relevant constitutive models implemented in commercial software Abaqus, such as: Neo-Hooke, Mooney-Rivlin, Ogden, Yeoh and Arruda-Boyce, whereas the hydrostatic part was determined through an optimization algorithm implemented in the Abaqus environment by Python scripting. The simulation results presented great influence of the Poisson's ratio in the rubber specimen mechanical behavior mainly for high strain levels. A conventional pure volumetric compression test was also carried out in order to compare the results obtained by the proposed methodology.

열응력이 암석의 역학적 거동과 투수성에 미치는 영향 -I. 역학적 거동 (The Effect of the Thermal Stress on the Mechanical Behaviour and Permeability of Rocks -1.mechanical Bechviour)

  • 윤용균;이희근
    • 터널과지하공간
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    • 제6권1호
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    • pp.1-9
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    • 1996
  • Pocheon granite specimens were thermally treated with cycles of predetermined temperatures ranging 2$0^{\circ}C$ to $600^{\circ}C$. Characterization of thermally-induced microcracks were carried out using optical microscopy and their effect on the various physical & mechanical properties were studied. Generally. uniaxial compressive strength, Young's modulus, Poisson's ratio, elastic wave velocity and specific gravity were found to decrease with increasing temperature. From 30$0^{\circ}C$ upwards, negative lateral strains were observed, which resulted in negative Poisson's ratio. Dynamic Young's modulus and Poisson's ratio were found to be generally most sensitive indicators to thermal cracking.

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다축응력 상태에 놓인 콘크리트외 크리프 특성에 관한 실험 연구 (Experimental Studies on Creep of Concrete under Multiaxial Stresses)

  • 권승희;김선영;김진근;이수곤
    • 콘크리트학회논문집
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    • 제16권2호
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    • pp.185-194
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    • 2004
  • 콘크리트의 크리프에 관한 기존의 연구결과들은 대부분 1축응력이 가해지는 경우에 대한 것으로 콘크리트 구조물 또는 부재가 다축응력 상태에 놓이는 경우에 적용하기가 어려운 점이 있다. 따라서 다축응력 상태의 콘크리트 크리프 특성에 관한 연구가 필요하다. 이 연구에서 다축응력 상태에 놓인 콘크리트의 크리프 특성을 실험을 통해 파악하였다. 세 가지 서로 다른강도를 갖는 배합의 콘크리트에 대해 각각 9개의 실험체를 제작하였으며, 1축, 2축, 3축 응력 상태에서 크리프 실험을 실시하였다. 하중이 가해지는 세 방향에서 시간에 따른 변형률을 측정하였다. 가압시점의 푸아송비와 크리프변형에 기인한 푸아송비 그리고 탄성변형과 크리프변형에 기인한 푸아송비를 구하였으며, 각 콘크리트에 대한 세 가지 푸아송비는 근사적으로 같은 것으로 나타났다. 가압시점의 푸아송비와 전체 변형에 대한 푸아송비는 콘크리트 강도의 증가에 따라 다소 증가하는 경향을 보였으며, 각 푸아송비는 응력상태에 따라 특정한 경향을 나타내지 않았다. 체적성분의 응력과 크리프변형률, 편차성분의 응력과 크리프변형률은 선형의 관계를 나타내었다.

Nonlinear static analysis of composite cylinders with metamaterial core layer, adjustable Poisson's ratio, and non-uniform thickness

  • Eipakchi, Hamidreza;Nasrekani, Farid Mahboubi
    • Steel and Composite Structures
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    • 제43권2호
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    • pp.241-256
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    • 2022
  • In this article, an analytical procedure is presented for static analysis of composite cylinders with the geometrically nonlinear behavior, and non-uniform thickness profiles under different loading conditions by considering moderately large deformation. The composite cylinder includes two inner and outer isotropic layers and one honeycomb core layer with adjustable Poisson's ratio. The Mirsky-Herman theory in conjunction with the von-Karman nonlinear theory is employed to extract the governing equations which are a system of nonlinear differential equations with variable coefficients. The governing equations are solved analytically using the matched asymptotic expansion (MAE) method of the perturbation technique and the effects of moderately large deformations are studied. The presented method obtains the results with fast convergence and high accuracy even in the regions near the boundaries. Highlights: • An analytical procedure based on the matched asymptotic expansion method is proposed for the static nonlinear analysis of composite cylindrical shells with a honeycomb core layer and non-uniform thickness. • The effect of moderately large deformation has been considered in the kinematic relations by assuming the nonlinear von Karman theory. • By conducting a parametric study, the effect of the honeycomb structure on the results is studied. • By adjusting the Poisson ratio, the effect of auxetic behavior on the nonlinear results is investigated.

Prediction of elastic constants of Timoshenko rectangular beams using the first two bending modes

  • Chen, Hung-Liang (Roger);Leon, Guadalupe
    • Structural Engineering and Mechanics
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    • 제80권6호
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    • pp.657-668
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    • 2021
  • In this study, a relationship between the resonance frequency ratio and Poisson's ratio was proposed that can be used to directly determine the elastic constants. Using this relationship, the frequency ratio between the 1st bending mode and 2nd bending mode for any rectangular Timoshenko beam can be directly estimated and used to determine the elastic constants efficiently. The exact solution of the Timoshenko beam vibration frequency equation under free-free boundary conditions was determined with an accurate shear shape factor. The highest percent difference for the frequency ratio between the theoretical values and the estimated values for all the beam dimensions studied was less than 0.02%. The proposed equations were used to obtain the elastic constants of beams with different material properties and dimensions using the first two measured transverse bending frequencies. Results show that using the equations proposed in this study, the Young's modulus and Poisson's ratio of rectangular Timoshenko beams can be determined more efficiently and accurately than those obtained from industry standards such as ASTM E1876-15 without the need to test the torsional vibration.

TSP탐사를 이용한 터널 굴착면 전방 지질상태 및 함수대 분석 (Analysis of geological conditions and water bearing zones in front of tunnel face using TSP)

  • 임경학;박연준
    • 한국터널지하공간학회 논문집
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    • 제25권5호
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    • pp.373-386
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    • 2023
  • 터널 굴착면 전방의 지질상태 및 함수대 예측을 분석하기 위하여 단층파쇄대 붕락구간에서 TSP탐사를 수행하였다. TSP탐사 결과는 예측구간의 막장면 관찰 결과와 비교하여 검증하였다. TSP탐사의 암질 예측 결과는 막장면 관찰 결과와 비교하여 약 3~10 m의 오차가 발생하였으나 전반적인 암질 변화 및 지반상태는 비교적 유사한 것으로 분석되었다. 막장면 관찰의 함수대에서 탄성파 속도비는 1.79~2.37, 포아송비는 0.27~0.39의 범위를 보인다. 함수대 이외 구간(젖은상태(wet))의 탄성파 속도비는 1.61~1.89, 포아송비는 0.19~0.3의 값을 보인다. 탄성파 속도비와 포아송비 분포를 분석하면 탄성파 속도비는 2.0 이상, 포아송비는 0.3 이상에서 함수대 가능성이 높은 구간으로 분석된다.

On the tensile strength of brittle materials with a consideration of Poisson's ratios

  • Hu Guoming;Cho Heechan;Wan Hui;Ohtaki Hideyuki
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2003년도 Proceedings of the international symposium on the fusion technology
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    • pp.603-610
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    • 2003
  • The influence of Poisson's ratio on the tensile strength of brittle materials is neglected in many studies. When brittle materials are loaded in compression or impact, substantial tensile stresses are induced within the materials. These tensile stresses are responsible for splitting failure of the materials. In this paper, the state of stress in a spherical particle due to two diametrically opposed forces is analyzed theoretically. A simple equation for the state of stress at the center of the particle is obtained. An analysis of the distribution of stresses along the z-axis due to distributed pressures and concentrated forces, and on diametrically horizontal plane due to concentrated forces, shows that it is reasonable to propose the tensile stress at the center of the particle at the point of failure as a tensile strength of the particle. Moreover, the tensile strength is a function of the Poisson's ratio of the material. As the state of stress along the z-axis in an irregular specimen tends to be similar to that in a spherical particle compressed diametrically with the same force, this tensile strength has some validity for irregular particles as well. Therefore, it can be proposed as the tensile strength for brittle materials generally. The effect of Poisson's ratio on the tensile strength is discussed.

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소결분말금속의 항복함수 (A Yield Function for Sintered Porous Metals)

  • 박종진
    • 대한기계학회논문집
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    • 제17권5호
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    • pp.1115-1122
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    • 1993
  • Several yield criteria for porous materials are compared with each other, defining the apparent yield stress as the yield stress of the porous material in simple compression. It was found that the plastic Poisson's ratio is the parameter needed to define the yield criterion, rather than the relative density. The plastic Poisson's ratio is regarded as a material characteristic that is obtained from a simple compression test. A new form of yield criterion was suggested, and it was applied to hydrostatic compression as well as uniaxial strain compression of sintered Al-2024 powder. The crossover point in the mean stress vs volume change curves of the processes was predicted. It is presented that the flow stress of the fully densed material can be obtained from that of the porous material using relations obtained from the yield criterion.