• Title/Summary/Keyword: 재료의 응력도-변형도 관계

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A Finite Element Nonlinear Formulation for Large Deformations of Plane Frames (평면 뼈대구조물의 큰 변형에 대한 비선형 유한요소의 정식화)

  • 윤영묵;박문호
    • Computational Structural Engineering
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    • v.7 no.4
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    • pp.69-83
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    • 1994
  • An explicit finite element nonlinear formulation for very large deformations of plane frame structures is developed. The formulation is based on an updated material reference frame and hence a true stress-strain relationship can be directly applied to characterize the properties of material which is subjected to very large deformations. In the formulation, a co-rotational approach is applied to deal with the large rotations but small strain problems. Straight beam element is considered when the strain of an element is large. The element formulation is based on the small deflection beam theory but with the inclusion of the effect of axial force. The element equations are constructed in an element local coordinate system which rotates and translates with the element, and then transformed to the global coordinate system. Several numerical examples are analyzed to validate the presented formulation.

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The Stress-strain Relationship of Glass Fiber Reinforced Thermoplastic Composite (유리섬유 강화 열가소성 복합재료의 응력-변형률 관계)

  • 이중희
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.5
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    • pp.206-214
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    • 1996
  • Because of the wide variety of the composite materials, inherent variability in properties, and complex temperature and strain rate dependence, large strain behavior of these materials has not been well characterized. Large strain behavior under uniaxial tension is characterized over a range of temperatures and strain rates, and a modified simple linear viscoelastic model is fit to the observed data. Of particular importance is the strain rate and temperature dependence of these composites, and it is the primary focus of this study. The strain rate and temperature dependence is then used to predict limiting tensile strains, based on Marciniak imperfection theory. Excellent correlation was obtained between model and experiment and the results are summarized in maps of forming limit as a function of strain rate and temperature.

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Crashworthy behaviour of cellular polymer under constant impact energy (동일 충격 에너지 조건하에서 다공질 고분자의 충격거동에 관한 연구)

  • Jeong, Kwang-Young;Cheon, Seong-Sik
    • Composites Research
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    • v.22 no.4
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    • pp.27-32
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    • 2009
  • Characterisation of the stress-strain relationship as well as crashworthiness of cellular polymer was investigated under constant impact energy with different velocities, considering inertia and strain rate effects simultaneously during the impact testing. Quasi-static and impact tests were carried out for two different density (64 $kg/m^3$, 89 $kg/m^3$) cellular polymer specimens. Also, the equations, coupled with the Sherwood-Frost model and the Impulse-Momentum theory, were employed to build the constitutive relation of the cellular polymer. The nominal stress-strain curves obtained from the constitutive relation were compared with results from impact tests and showed to be in good agreement.

Wear and wear transition mechanism in SiC and SiC-TiB$_{2}$ Composites during sliding (SiC 및 SiC-TiB$_{2}$복합재료에서 미끄럼시의 마모 및 마모천이기구)

  • 조성재;엄창도;김석삼
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1995.06a
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    • pp.11-17
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    • 1995
  • 본 연구에서는 SiC 및 SiC-TiB$_{2}$복합재료의 마모 및 마모천이기구를 비교 실험한 결과 다음과 같은 결론을 얻었다. 두 재료의 마모천이현상은 각각의 하중이 200N(SiC)과 80N(SiC-TiB$_{2}$)이상에서 나타나게 되었다. 마모기구는 임계미끄럼시간에서 두 단계로 나뉘어진다. 소성변형에 의한 grooving과정과 잔류응력에 의한 grain pull-out과정들로써 미세 구조를 통해 관찰할 수 있었다. grain pull-out과정은 초기단계에서 부터 생성된 전위가 축적되어 잔류응력을 발생시키므로 일어난 과정이다. SiC에 TiB$_{2}$를 첨가하므로 마모는 더욱 심하게 일어나게 되었다. 입계의 강도를 더 약하게 하였기 때문이다. 그러나, 파괴인성은 입계강도가 약할수록 증가하였다. 결국 파괴인성이 큰 재료가 마모는 더 심하게 일어남으로 서로 상반된 관계를 갖고 있슴을 결론지을 수 있었다.

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High Temperature Compressive Deformation Behavior of Ti-6Al-2Sn-4Zr-6Mo Alloy (Ti-6Al-2Sn-4Zr-6Mo 합금의 고온압축 변형거동)

  • Hyun, Yong-Taek;Lee, Yong-Tai;Lee, Chan-Gyu
    • Korean Journal of Materials Research
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    • v.11 no.2
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    • pp.82-87
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    • 2001
  • The hot deformation behavior of Ti-6Al-2Sn-4Zr-6Mo(Ti6246) alloy was investigated in both the $\alpha$+$\beta$ and $\beta$-phase fields by conducting compression tests over a strain rate range of $10^{-3}s^{-1}$ to $10^0s^{-1}$. The flow stress was increased with increasing strain rate and decreasing test temperature. The flow curves obtained at temperatures below 90$0^{\circ}C$ exhibited a flow softening. However, in the $\beta$-phase field, above 95$0^{\circ}C$, the flow stress increased monotonically with plastic strain approaching steady state values. Constitutive equations for the dependence of flow stress on strain, strain rate, and temperature were developed through the analysis of the flow curves.

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수치해석적 응력 적분 방법

  • 이승래
    • Computational Structural Engineering
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    • v.3 no.3
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    • pp.53-54
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    • 1990
  • 응력 변형율의 관계가 시간에 대한 미분의 형태로 나타나는 비선형 탄소성 혹은 점탄소성 재질을 갖는 구조물이나 지만의 거동 문제를 유한요소법 등의 방법을 이용하여 해결하려고 하는 경우 주어진 외력에 의한 새로운 응력이나 응력 강화 현상을 표현하는 여러 재료 상수값들을 구하기 위해서는 적분을 요하게 되며 일반적으로 수치해석적 방법에 의해 수행된다. 이러한 수치해석적 적분방법은 보다 정확한 결과를 얻기 위하여 알고리즘 자체의 정확성과 안정성이 요구된다. 정확성은 수치해석적 적분방법이 적용될 수 있는 step size에 관계없이 거의 동일한 결과치를 얻을 수 있느냐 하는 것을 말하고 안정성은 큰 step size에서도 수렴된 결과치를 얻을 수 있느냐 하는 것을 의미한다. 그 뿐만 아니라 비교적 복잡하고도 그 대상영역이 큰 문제를 해석하고자 할 때는 수렴속도 또한 빠른 해석방법이 바람직하게 된다. 따라서 본 기사에서는 여러가지 가능한 수치해석 적분 방법을 소개하고 그들의 장단점을 논하고자 한다.

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Kinematic Description of Damage-Elastoplastic Deformation (손상된 재료의 탄소성변형에 대한 운동학적 해석)

  • 박대효;박용걸
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.131-142
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    • 1997
  • In this paper the kinematics of damage for finite elastoplastic deformations is introduced using the fourth-order damage effect tensor through the concept of the effective stress within the framework of continuum damage mechanics. Unlike the approach of strain equivalence or energy equivalence, which is applicable only to small strains, the proposed kinematic description provides a relation between the effective strain and the damage elastoplastic strain in finite deformation. This is accomplished by directly considering the kinematics of the deformation field both real configuration. The proposed approach shows that it is equivalent to the hypothesis of energy equivalence at finite strains. The damage effect tensor in this work is explicitly characterized in terms of a kinematic measure of damage in the elastoplastic domain through a second-order damage tensor.

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Stress-strain Behavior of Sand Reinforced with Geocell (지오셀로 보강된 모래의 응력-변형 거동)

  • Yoon, Yeo-Won;Kim, Jae-Youn;Kim, Bang-Sik
    • Journal of the Korean GEO-environmental Society
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    • v.4 no.2
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    • pp.27-37
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    • 2003
  • In this research stress-strain behavior of composite geocell-soil systems under triaxial condition and the influence of strength due to the presence of geocell were studied. For the research a series of triaxial tests were carried out on sand specimens confined by flexible-walled single rubber cell. The diameter of all rubber cells placed at the center of the soil sample were 50 mm. Three rubber sizes, i.e. 35, 50 and 70 mm height, were applied to the soil specimen and the size of soil specimen was 50 mm in diameter and 100 mm in height. Three different densities of soil were used for the tests. In general, it was observed that the sand specimen develops an apparent cohesion due to the confinement by the geocell. The magnitude of this cohesion seemed to be dependent to the properties of the geocell material. The test results have shown that the geocell material for this research not only develops the apparent cohesion but also increases the angle of friction whereas geosynthetic material in the references showed only the increase of apparent cohesion. From the application of geocell-soil composites to the hyperbolic model, it was recognized that the determination of the peak strength influences the behavior of the geocell-soil composites.

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Shell Finite Element of Reinforced Concrete for Internal Pressure Analysis of Nuclear Containment Building (격납건물 내압해석을 위한 철근콘크리트 쉘 유한요소)

  • Lee, Hong-Pyo;Choun, Young-Sun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.6A
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    • pp.577-585
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    • 2009
  • A 9-node degenerated shell finite element(FE), which has been developed for assessment of ultimate pressure capacity and nonlinear analysis for nuclear containment building is described in this paper. Reissner-Midnlin(RM) assumptions are adopted to develop the shell FE so that transverse shear deformation effects is considered. Material model for concrete prior to cracking is constructed based on the equivalent stress-equivalent strain relationship. Tension stiffening model, shear transfer mechanism and compressive strength reduction model are used to model the material behavior of concrete after cracking. Niwa and Aoyagi-Yamada failure criteria have been adapted to find initial cracking point in compression-tension and tension-tension region, respectively. Finally, the performance of the developed program is tested and demonstrated with several examples. From the numerical tests, the present results show a good agreement with experimental data or other numerical results.

Crack Width Calculation Based on Bond Characteristics and Cracking Behavior of Reinforced Concrete Structures (부착특성과 균열거동을 고려한 철근콘크리트 구조물의 균열폭 계산)

  • Yang, Jun-Ho;Kim, Woo;Lee, Gi-Yeol
    • Journal of the Korean Society for Railway
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    • v.12 no.6
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    • pp.944-952
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    • 2009
  • This paper presents an analytical model for calculation of crack widths in reinforced concrete structures. The model is mathematically derived from the actual bond stress-slip relationships between the reinforcement and the surrounding concrete, and the relationships summarized in CEB-FIP Model Code 1990 and Eurocode 2 are employed in this study together with the numerical analysis result of a linear slip distribution along the interface at the stabilized cracking stage. With these, the actual strains of the steel and the concrete are integrated respectively along the embedment length between the adjacent cracks so as to obtain the difference in the axial elongation. The model is applied to the test results available in literatures, and the predicted values are shown to be in good agreement with the experimentally measured data.