• 제목/요약/키워드: Uniaxial stress

검색결과 571건 처리시간 0.026초

부틸고무의 변형률 에너지 함수 예측 (Prediction of Strain Energy Function for Butyl Rubbers)

  • 김남웅;김국원
    • 대한기계학회논문집A
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    • 제30권10호
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    • pp.1227-1234
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    • 2006
  • Up to now, several mathematical theories based on strain energy functions have been developed for rubber materials. These theories, coupled with the finite element method, can be used very effectively by engineers to analyze and design rubber components. However, due to the complexities of the mathematical formulations and the lack of general guidelines available fur the analysis of rubber components, it is a formidable task for an engineer to analyze rubber components. In this paper a method for predicting strain energy functions - Neo-Hookean model and Mooney-Rivlin model - from the hardness using the empirical equation without any experiment is discussed. First based on the elasticity theories of rubber, the relation between stress and strain is defined. Then for the butyl rubbers, the model constants of Neo-Hookean model and Mooney-Rivlin model are calculated from uniaxial tension tests. From the results, the usefulness of the empirical equation to estimate elastic modulus from hardness is confirmed and, fur Mooney-Rivlin model, the predicted and the experimental model constants are compared and discussed.

Cumulative Damage Theory in Fatigue of Graphite/Epoxy [±45]s Composites

  • An, Deuk Man
    • Composites Research
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    • 제28권4호
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    • pp.182-190
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    • 2015
  • The phenomenological evolution laws of damage can be defined either based on residual life or residual strength. The failure of a specimen can be defined immediately after or before fracture. The former is called in this paper by "failure defined by approach I" and the latter "failure defined by approach II." Usually at failure there is a discontinuity of loading variables and, because of this, damage at failure is discontinuous. Therefore the values of damage at failure by two different approaches are not the same. Based on this idea the sequence effects of the phenomenological evolution law of damage given by $dD/dN=g(D)f({\Phi})$ were studied. Thin-walled graphite/epoxy tubes consisting of four of $[{\pm}45]_s$ laminates were used for the experimental study of sequence effects and the effects of mean stress on fatigue life. It was found that the sequence effects in two step uniaxial fatigue for $[{\pm}45]_s$ graphite/epoxy tubular specimen showed that a high-low block loading sequence was less damaging than a low-high one.

2축 휨과 축력을 동시에 받는 철근콘크리트 기둥에 대한 실험적 연구 (An Experimental Study on the Behavior of Reinforced Concrete Columns Subjected to Axial Force and Biaxial Bending)

  • 김진근;이상순;이수곤;김선영
    • 콘크리트학회논문집
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    • 제11권4호
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    • pp.55-62
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    • 1999
  • When stress is beyond elastic limit or cracks occur in a reinforced concrete member subjected to axial force and biaxial bending, curvature about each principal axis of uncracked section is influenced by axial force and bending moments about both major and minor principal axes. It is mainly due to the translation and rotation of principal axes of the cross section after cracking. Recently, by considering these effects, a numerical method predicting the behavior of concrete columns subjected to axial force and biaxial bending was proposed. In this study, in order to verify the proposed numerical method and investigate the effects of cracking on the behavior of reinforced concrete columns, a series of tests were carried out for 16 tied reinforced concrete columns with 100×100 mm square and 200×100 mm rectangular sections under various loading conditions. The angle between the direction of eccentricity and the major principal axis of uncracked section were 0, 30, 40° for the square section and 0, 30, 45, 60, 90° for the rectangular section, respectively. A comparison between numerical predictions and test results shows good agreements in ultimate loads, axial force-lateral deflection relations, and lateral deflection trajectories. It is also found, in this limited investigation, that the ACI's moment magnifier method is conservative in both uniaxial and biaxial loading conditions.

알루미나 튜브의 인장/비틀림 조합하중하의 파괴거동 (Fracture Behaviors of Alumina Tubes under Combined Tension/Torsion)

  • 김기태;서정;조윤호
    • 한국세라믹학회지
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    • 제28권1호
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    • pp.20-28
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    • 1991
  • Fracture of Al2O3 tubes for different loading path under combined tension/torsion was investigated. Macroscopic directions of crack propagation agreed well with the maximum principal stress criterion, independent of the loading path. However, fracture strength from the proportional loading test($\tau$/$\sigma$= constant) showed either strengthening or weakening compared to that from uniaxial tension, depending on the ratio $\tau$/$\sigma$. The Weibull theory was capable to predict the strengthening of fracture strength in pure torsion, but not the weakening in the proportional loading condition. The strengthening or weakening of fracture strength in the proportional loading condition was explained by the effect of shear stresses in the plane of randomly oriented microdefects. Finally, a new empirical fracture criterion was proposed. This criterion is based on a mixed mode fracture criterion and experimental data for fracture of Al2O3 tubes under combined tension/torsion. The proposed fracture criterion agreed well with experimental data for both macroscopic directions of crack propagation and fracture strengths.

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진화적 알고리즘을 이용한 비탄성방정식의 구성 파라미터 결정 (Constitutive Parameter Identification of Inelastic Equations Using an Evolutionary Algorithm)

  • 이은철;이준성;고천지성
    • 한국지능시스템학회논문지
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    • 제19권1호
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    • pp.96-101
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    • 2009
  • 본 논문에서는 제안된 진화적 알고리즘을 바탕으로 한 비탄성 구성방정식의 파라미터를 결정하기 위한 방법을 제시한다. 이 방법의 장점은 오차를 갖고 있는 측정된 데이터들이나 모델 방정식들이 부정확하더라도 적절한 파라미터들이 결정되어진다는 것이다. 실험설계는 단축하중과 일정 온도조건하의 샤보쉬 재료모델의 파라미터 결정에 적합하였다. 동시에 모델의 파라미터들은 실험데이터들과 제안한 방법에 의한 값들과 일치하였다. 다른 방법들에 의한 값들과 비교해 본 결과, 제안한 방법에 의한 응력-변형률 선도는 실제적인 재료거동에 비해 좋게 나타났다.

섬유혼합 보강토의 공학적 특성에 관한 실험연구 (The Experimental Study on Engineering Properties of Fiber - Reinforced Soil)

  • 조덕삼;김진만
    • 한국지반공학회지:지반
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    • 제11권2호
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    • pp.107-120
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    • 1995
  • 섬유혼합 보강토는 흙과 섬유의 마찰력에 의해 유발되는 섬유의 인장력을 이용하여 흙의 역학적 특성을 개선시킨 새로운 형태의 보강토이다. 일반적으로 섬유혼한 보강토의 공학적 특성은 흙의 단위 중량, 입자크기, 입도분포와 섬유의 길이, 인장강도, 혼합률 등에 영향을 받는 것으로 알려져 있다. 본 연구에서는 국내에서 많이 발생하는 건설잔토 종류별로 섬유의 형태, 직경 및 길이, 섬유 혼합률, 시멘트 홉합률, 양생기간 등을 변화시켜가며 섬유혼합 보강토의 다짐특성, 전단특성 및 투수특성 등을 고찰하고, 이를 토대로 섬유혼합 보강토의 공학적 특성에 미치는 섬유 보강 효과를 규명하였다. 또한, 실험에 사용된 흙과 섬유에 대한 최적의 섬유길이와 섬유혼합률의 범위에 대한 평가를 수행하였다.

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Buckling analysis in hybrid cross-ply composite laminates on elastic foundation using the two variable refined plate theory

  • Benselama, Khadidja;El Meiche, Noureddine;Bedia, El Abbas Adda;Tounsi, Abdelwahed
    • Structural Engineering and Mechanics
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    • 제55권1호
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    • pp.47-64
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    • 2015
  • This paper presents the effect of hybridization material on variation of critical buckling load with different cross-ply laminates plate resting on elastic foundations of Winkler and Pasternak types subjected to combine uniaxial and biaxial loading by using two variable refined plate theories. Governing equations are derived from the principle of virtual displacement; the formulation is based on a new trigonometric shape function of displacement taking into account transverse shear deformation effects vary parabolically across the thickness satisfying shear stress free surface conditions. These equations are solved analytically using the Navier solution of a simply supported. The influence of the various parameters geometric and material, the thickness ratio, and the number of layers symmetric and antisymmetric hybrid laminates material has been investigated to find the critical buckling loads. The numerical results obtained through the present study with several examples are presented to verify and compared with other models with the ones available in the literature.

Structural analysis of high-rise reinforced concrete building structures during construction

  • Song, Xiaobin;Gu, Xianglin;Zhang, Weiping;Zhao, Tingshen;Jin, Xianyu
    • Structural Engineering and Mechanics
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    • 제36권4호
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    • pp.513-527
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    • 2010
  • This paper presents a three-dimensional finite element method based structural analysis model for structural analysis of reinforced concrete high-rise buildings during construction. The model considered the time-dependency of the structural configuration and material properties as well as the effect of the construction rate and shoring stiffness. Uniaxial compression tests of young concrete within 28 days of age were conducted to establish the time-dependent compressive stress-strain relationship of concrete, which was then used as input parameters to the structural analysis model. In-situ tests of a RC high-rise building were conducted, the results of which were used for model verification. Good agreement between the test results and model predictions was achieved. At the end, a parametric study was conducted using the verified model. The results indicated that the floor position and construction rate had significant effect on the shore load, whereas the influence of the shore removal timing and shore stiffness have much smaller. It was also found that the floors are more prone to cracking during construction than is ultimate bending failure.

Numerical simulation of shear mechanism of concrete specimens containing two coplanar flaws under biaxial loading

  • Sarfarazi, Vahab;Haeri, Hadi;Bagheri, Kourosh
    • Smart Structures and Systems
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    • 제22권4호
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    • pp.459-468
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    • 2018
  • In this paper, the effect of non-persistent joints was determined on the behavior of concrete specimens subjected to biaxial loading through numerical modeling using particle flow code in two dimensions (PFC2D). Firstly, a numerical model was calibrated by uniaxial, Brazilian and triaxial experimental results to ensure the conformity of the simulated numerical model's response. Secondly, sixteen rectangular models with dimension of 100 mm by 100 mm were developed. Each model contains two non-persistent joints with lengths of 40 mm and 20 mm, respectively. The angularity of the larger joint changes from $30^{\circ}$ to $90^{\circ}$. In each configuration, the small joint angularity changes from $0^{\circ}$ to $90^{\circ}$ in $30^{\circ}$ increments. All of the models were under confining stress of 1 MPa. By using of the biaxial test configuration, the failure process was visually observed. Discrete element simulations demonstrated that macro shear fractures in models are because of microscopic tensile breakage of a large number of bonded discs. The failure pattern in Rock Bridge is mostly affected by joint overlapping whereas the biaxial strength is closely related to the failure pattern.

초탄성 고무 물성평가를 위한 구형 압입시험의 수치접근법 (Numerical Approach Technique of Spherical Indentation for Material Property Evaluation of Hyper-elastic Rubber)

  • 이형일;이진행;김동욱
    • Elastomers and Composites
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    • 제39권1호
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    • pp.23-35
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    • 2004
  • 본 연구에서는 먼저 유한요소해석을 통해 주요 물성계수들이 압입시 하중-변위 곡선형상에 미치는 영향을 분석하였다. 또한 유한요소 압입해석을 통해 마찰계수의 영향으로 하중-변위 곡선, 시편하부의 단위부피당 변형에너지 및 변형률 주불변량이 바뀌지 않는 최적 압입깊이와 시편하부지점을 선정하였다. 이러한 관찰을 통해 하나의 요소에서 얻어지는 단위부피당 변형 에너지와 변형률 주불변량을 하중-변위 데이터와 모사 시킬 수 있는 무차원 함수를 얻을 수 있었으며, 이 과정에서 예측된 물성계수를 바탕으로 공칭응력-공칭변형률 곡선을 얻을 수 있었다.