• Title/Summary/Keyword: 체적탄성계수

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A Study on the Elastoplastic Behavior and Yield Surface of Polymer Nanocomposites by Molecular Dynamics Simulations (분자동역학 전산모사를 이용한 나노입자 복합재의 탄소성 거동과 항복 예측에 관한 연구)

  • Yang, Seung-Hwa;Yu, Su-Young;Cho, Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.558-561
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    • 2010
  • 본 연구에서는 나노복합재의 탄소성 거동과 항복응력을 예측하기 위해 분자동역학 전산모사를 수행하였다. 나일론 기지와 실리카 나노입자가 포함된 단위 셀 구조로부터 나노입자의 체적분율 변화에 따른 응력-변형률 선도를 등변형률을 적용한 등온등압 앙상블 전산모사로부터 도출하였다. 4%의 변형률 범위에서 나노복합재의 탄성계수를 도출하였고, 이를 이용하여 2% 오프셋 방법으로 항복응력을 예측하였다. 나노입자의 유무에 따른 항복평면의 변화와 고분자 재료에서 나타나는 정수압 효과가 항복평면에 미치는 영향을 확인하기 위해 일축 인장/압축 그리고 이축 인장/압축을 수행하였고, 각각의 경우에 나타나는 나노복합재 내부의 자유체적 변화에 대한 분석을 통해 나노입자의 강화효과를 고찰하였다. 또한 고분자 기지로 인해 발생하는 정수압 효과를 반영한 von-Miss 항복평면을 도출하고, 입자의 체적분율 변화에 따른 항복응력의 예측이 가능하도록 정수압효과에 대한 파라메터를 체적분율의 함수로 근사하였다.

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Micromechanical Properties in Elastically Inhomogeneous Materials (Part II : Elastic Moduli and Thermal Expansion Coefficients) (탄성 불균질 재료의 미시역학거동 (Part II : 탄성계수 및 열팽창계수))

  • Gang, Chang-Seok;Hong, Seong-Gil;Wakashima, Kenji
    • Korean Journal of Materials Research
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    • v.11 no.5
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    • pp.372-377
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    • 2001
  • A theory developed in Part I has been applied to calculate effective elastic and thermoelastic moduli of particle-strengthened, unidirectionally fiber-reinforced, and layered composites. For the unidirectional fiber composites the effect of fiber aspect ratio is taken into account. The analytical solutions obtained to the effective elastic moduli are compared with some of existing expressions and the following results are found. The effective bulk and shear moduli of the particle strengthened composites coincide with Korner's expressions, which correspond with the lower bounds of Hanshin and Shtrikman. The same expressions as the lower bounds of Hill and Hanshin are obtained for five independent moduli of the aligned continuous fiber composites, four of which coincide with Hanshin and Rosen's exact solutions for 'composite cylinder assemblage'.

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Calculation of Poroelastic Parameters of Porous Composites by Using Micromechanical Finite Element Models (미시역학적 유한요소 모델을 이용한 다공성 복합재료의 기공 탄성 인자 산출)

  • Kim, Sung-Jun;Han, Su-Yeon;Shin, Eui-Sup
    • Composites Research
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    • v.25 no.1
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    • pp.1-8
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    • 2012
  • In order to predict the thermoelastic behavior of porous composites, poroelastic parameters are measured by using micromechanics-based finite element models. The expanding deformation caused by pore pressure, and the degradation of homogenized elastic moduli with pores are calculated for the assessment of the poroelastic parameters. Various representative volume elements considering the shape, size, and array pattern of pores are modeled and analyzed by a finite element method. The effects of porosity and material anisotropy, and the distribution of stain energy density are investigated carefully. In addition, the measured poroelastic parameters are verified by predicting the thermo-pore-elastic behavior of carbon/phenolic composites.

Effects of Hihh Amplitude Prestraining Vibrations on Shear Modulus of Sands (고 변형률 반복 진동이 모래의 전단 탄성계수에 미치는 영향)

  • ;Stokoe, K.H.Il
    • Geotechnical Engineering
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    • v.8 no.1
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    • pp.19-28
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    • 1992
  • Recently, testing equipment which can run resonant column test altogether with the torsional shear test at the very highly controlled condition was developed at the University of Texas at Austin(U.S.A). With this equipment, the effects of high amplitude pre-straining vibrations on the dynamic properties of clean sands were studied. Tests showed the following results. Low amplitude shear modulus was gradually increased with little void ratio change as the number of high amplitude vibration cycles increased. Variation of volumetric strain with confining pressure for the pre -strained specimen under vibration was smaller than that of fresh specimen. Also the slope of the diagram for shear modulus and confining pressure relationship of the prestrained specimen was smaller than that of fresh specimens. These results agreed well with the analytical results.

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A Characteristic of Deformation and Strength of Domestic Sands by Triaxial Compression Tests (삼축압축시험에 의한 국내 모래의 변형-강도 특성)

  • Park, Choon Sik;Kim, Jong Hwan;Park, Cheol Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.2
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    • pp.515-527
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    • 2014
  • This study conducted experiment for understanding engineering characteristics of domestic sands by examining standard sand and sand from Yokji Island and Nakdong River in terms of confining pressure, $K_0$, over consolidation and relative density factors through triaxial compression test. The test showed that deviator stress by strain positively changed as confining pressure and relative density grow while $K_0$ and over consolidation factors do not directly correlated with it. Angle of internal friction decreases as confining pressure increases which strengthens contact force between particles, and declines as relative density drops, whereas $K_0$ and over consolidation factors hardly affect the results. When it comes to volumetric strain, volume expansion decreases as confining pressure increase due to crushability and rearrangement of particles while $K_0$ and over consolidation shows same movement unconditionally, and relative density appears compressed as it grows at the beginning however it expands as axial strain increases. Modulus of elasticity ($E_{sec}$) by strain has tendency into convergence resulting in initial secant modulus of elasticity ($E_{ini}$) > secant modulus of elasticity($E_{sec}$) > tangent modulus of elasticity ($E_{tan}$). On the other hand, it grows as confining pressure and relative density increase while indicating similar modulus of elasticity ($E_{sec}$) regarding on $K_0$ and over consolidation. Slope of critical line (M) tended to decrease as confining pressure increases, follow same line according to $K_0$, confining pressure and relative density, and increase as relative density grows.

A Study on the Prediction of Elastic Modulus in Short Fiber Composite Materials (단섬유 복합재료의 탄성계수 예측에 관한 연구)

  • Kim Hong Gun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.2 s.233
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    • pp.318-324
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    • 2005
  • Theoretical efforts are performed to extend the formulation of NSLT(New Shear Lag Theory) for the prediction of the elastic modulus in short fiber composite. The formulation is based on the elastic stress transfer considering the stress concentration effects influenced by elastic modulus ratio between fiber and matrix. The composite modulus, thus far, is calculated by changing the fiber aspect ratio and volume fraction. It is found that the comparison with FEA(Finite Element Analysis) results gives a good agreement with the present theory (NSLT). It is also found that the NSLT is more accurate than the SLT(Shear Lag Theory) in short fiber regime when compared by FEA results. However, The modulus predicted by NSLT becomes similar values that of SLT when the fiber aspect ratio increases. Finally, It is shown that the present model has the capability to predict the composite modulus correctly in elastic regime.

Micromechanical Analysis for Transverse Properties of Ceramic/Metal Composite (세라믹/금속기지 복합재료의 특성예측을 위한 미시역학적 유한요소해석)

  • 김태우;박상환
    • Journal of the Korean Ceramic Society
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    • v.38 no.6
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    • pp.575-581
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    • 2001
  • 세라믹/금속기지 복합재료에서 횡방향의 단축인장하중을 받는 경우, 복합재료의 특성에 관한 시뮬레이션 결과이다. 세라믹과 금속기지간 계면에 강한 결합이 존재하는 복합재와, 계면에서의 결합이 약한 복합재의 두 경우에 대하여 횡방향 평균응력과 평균변형율에 대한 관계를 계산하였다. 복합재료의 미시역학적개념과 유한요소해석법을 적용하여 세라믹체적분율의 변화에 따라 각기 해석되었다. 본 연구에서 계산된 횡방향 탄성계수는 문헌에 알려져 있는 미시역학개념으로 유도된 식에 의한 횡방향탄성계수값과 잘 일치되었다. 계면에서 강한 결합이 있는 복합재와는 달리, 약한 결합의 복합재는 인장하중에 의하여 세라믹/금속계면에서 금속재료와 세라믹간의 분리가 발생된다. 이 분리는 전체복합재의 강성을 감소시키며, 금속의 부피분율이 감소될수록 (즉, 세라믹의 부피분율이 증가할수록) 횡방향 평균응력의 평균변형율에 대한 감소로 나타났다. 미시역학의 개념을 적용한 유한요소해석기법을 통하여, 이미 알고 있는 복합재 각 성분의 특성으로부터 복합재료의 계면특성과 횡방향특성을 예측할 수 있다.

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Analytical Prediction and Validation of Elastic Behavior of Carbon-Fiber-Reinforced Woven Composites (탄소섬유강화 직조복합재의 탄성 거동의 이론적 예측 및 검증)

  • Hwang, Yeon-Taek;Lim, Jae-Young;Nam, Byeung-Gun;Kim, Hak-Sung
    • Composites Research
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    • v.31 no.5
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    • pp.276-281
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    • 2018
  • In this paper, elastic behavior of woven fabric composites with various fiber yarn structure were predicted through a theoretical calculation model. A representative volume elements (RVE) that can represent the mechanical properties of the woven composites were selected and crimp angle of the weave yarn was defined by several sinusoidal functions. The effective material properties of the woven composite such as young's modulus, shear modulus and poisson's ratio was predicted by classical laminate theory (CLT). The fiber volume fractions were calculated according to the shape and pattern (plain, twill weave) of the fiber yarn, and the elastic behavior of each woven composite was obtained through a theoretical calculation model. Also, to verify the theoretical predictions, woven composite specimens of plain and twill weave were fabricated by vacuum assisted resin transfer molding (VARTM) process and then mechanical test was conducted. As a results, a good correlation between theoretical and experimental results for the elastic behavior of woven composites could be achieved.

Measurement and Evaluation of Thermal Expansion Coefficients of Micrometer-Sized SiO2 Particle-Reinforced Epoxy Composites (마이크로미터 크기 실리카 입자로 강화된 에폭시 복합재료의 열팽창계수 측정 및 평가)

  • Jo, Hyu Sang;Kang, Hee Yong;Lee, Gyo Woo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.2
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    • pp.129-135
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    • 2015
  • In this experimental study, the thermal stability values of micrometer-sized silica particle-reinforced epoxy composite specimens were evaluated by measuring their thermal expansion coefficients and Young's moduli. For all specimens used in this study (from the baseline specimen to that containing 70 wt% silica filler), the thermal expansion coefficients and Young's moduli were gradually reduced down to 25% and increased up to 51%, respectively. The results of the experiment were compared with those of certain empirical models. The experimental results of the measurement of thermal expansion coefficients corresponded well with those of Kerner's model, which considers the bulk and shear moduli of the matrix and silica filler. However, the results of the measurement of Young's moduli using the empirical Mori-Tanaka model were observed to match better with those of the experiment. The comparison of the results of the experiment with those of the empirical models demonstrated that a reliable model for measuring the thermal expansion coefficients and Young's moduli of composite specimens needs to consider certain property variations in the composites in addition to volume fraction changes in the filler and matrix.

Derivation of Elastic Stress Concentration Factor Equations for Debris Fretting Flaws in Pressure Tubes of Pressurized Heavy Water Reactors (가압중수로 압력관 이물질 프레팅 결함의 탄성 응력집중계수 수식 도출)

  • Kim, Jong Sung;Oh, Young Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.2
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    • pp.167-175
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    • 2014
  • If volumetric flaws such as bearing pad fretting flaws and debris fretting flaws are detected in the pressure tubes of pressurized heavy water reactors during in-service inspection, the initiation of fatigue cracks and delayed hydrogen cracking from the detected volumetric flaws shall be assessed by using elastic stress concentration factors in accordance with CSA N285.8-05. The CSA N285.8-05 presents only an approximate formula based on linear elastic fracture mechanics for the debris fretting flaw. In this study, an engineering formula considering the geometric characteristics of the debris fretting flaw in detail was derived using two-dimensional finite element analysis and Kinectrics, Inc.'s engineering procedure with slight modifications. Comparing the application results obtained using the derived formula with the three-dimensional finite element analysis results, it is found that the results obtained using the derived formula agree well with the results of the finite element analysis.