• Title/Summary/Keyword: 탄성재료

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The Finite Element Analysis for Calculations of Equivalent Elastic Constants Using the Homogenization Method (균질화기법과 유한요소법을 이용한 복합재료의 등가탄성계수 산정)

  • Yun, Seong-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.1
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    • pp.51-61
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    • 2000
  • This paper discusses the homogenization method to determine effective average elastic constants of a linear structure by considering its microstructure. A detailed description on the homogenization method is given for the linear elastic material and then the finite element approximation is performed for an investigation of elastic properties. An asymptotic expansion is carried out in the cross-section area, or in the unit cell. Two and three lay-up structures made up of individual isotropic constituents are chosen for numerical examples to check discrepancies between results generated by this theoretical development and the conventional approach. Asymptotic characteristics of the process in extracting the stiffness of structure locally formed by spatial repetitions yield underestimated values of stiffness. These discrepancies are detected by the asymptotic corrective term which is ascribed to considerations of microscopic perturbations and proved in the finite element formulation. The asymptotic analysis is the more reasonable in analysing the composite material, rather than the conventional approach to calculate the macroscopic average for elastic properties.

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복합체 응력해석의 광탄성 실험법

  • 황재석
    • Journal of the KSME
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    • v.31 no.3
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    • pp.276-292
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    • 1991
  • 복합체 구조물을 광탄성 실험법으로 응력해석 하고자 할 때는 반드시 아래의 사항이 연구되어야 한다. (1) 복합체 구조물의 이방성 성질과 상사되는 광탄성 재료가 개발되어야 한다. (2) 광탄성 재료의 기본 물성치($E_L,E_r,G_{LT},V_{LT}$)와 응력 프린지치($f_L,f_r,f_{LT}$) 등이 측정되어야 한다. (3) 복합체 구조물의 응력 해석을 할 수 있는 광탄성 실험의 실험 방법이 개 발되어야 한다. 이론적으로 규명하기 힘들고 역학적으로 논란되고 있거나 인명에 관계되는 기 계나 구조물 등을 이론적으로 해결하였으나 실험적으로 확인하려고 할 때 광탄성 실험법은 확인 실험법으로써 매우 유용한 방법이므로 아래와 같이 요구된다. 광탄성 실험법이 앞에서 나열된 것처럼 파괴 역학의 여러 분야에도 유용하게 이용될 뿐만 아니라 의학 분야에도 매우 유용하게 이용되고 있다.

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Evaluation of Resilient Modulus for Reinforced Trackbed using Large Triaxial Tests (대형삼축압축시험을 이용한 강화노반재료의 회복탄성계수 평가)

  • Lee, Sung Jin;Lee, Jin Wook;Lee, Seong Hyeok;Sagong, Myung
    • Journal of the Korean Society for Railway
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    • v.17 no.6
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    • pp.415-422
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    • 2014
  • Reinforced trackbeds are an important layer that has a significant effect on the deformation of the track, therefore, a deeper understanding of reinforced trackbeds is necessary. In this paper, we conduct a large triaxial test in order to evaluate the resilient modulus ($M_R$) of reinforced trackbed materials through considering several factors such as the grain size distribution (GSD) and loading conditions. It is identified that the maximum size of the particle, GSD, and compacted water content affect the $M_R$ but the loading frequency does not. Because these tests are performed with consideration of the field environment, the test results are useful for analyzing tracks including reinforced trackbeds. The data are limited to evaluating the parameters of $M_R$ model; however the parameters of the deviatoric and bulk stress models that can be used in various loading conditions are proposed.

Prediction of Thermoelastic Constants of Unidirectional Porous Composites Using an Unmixing-Mixing Scheme (분리-혼합 기법을 이용한 일방향 다공성 복합재료의 열탄성 계수 예측)

  • Shin, Eui-Sup
    • Composites Research
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    • v.25 no.2
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    • pp.34-39
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    • 2012
  • A thermo-poro-elastic constitutive model of unidirectionally fiber-reinforced composite materials is suggested by extending the unmixing-mixing scheme which is based upon composite micromechanics. The strain components of thermal expansion due to a temperature change, gas pressure in pores, and chemical shrinkage are included in the constitutive model. On purpose to verify the derived constitutive relations, the representative volume element of two-dimensional lamina subject to various loading conditions is analyzed by the finite element method. The overall stress and strain responses are obtained, and compared with the predicted values by the unmixing-mixing scheme. The numerical results show the usefulness of the proposed model to predict the thermoelastic behavior of porous composites.

Characterization of Elastic Modulus of Kelvin Foam Using Elastic Structural Model and Ultrasound (초음파와 탄성 구조 모델을 이용한 캘빈 폼 재료의 탄성계수 평가)

  • Kim, Woochan Ethan;Kim, Nohyu
    • Journal of the Korean Society for Nondestructive Testing
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    • v.36 no.6
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    • pp.474-482
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    • 2016
  • A Kelvin foam plate - widely used in the energy and transport industries as a lightweight structural material - was examined to estimate its Young's modulus using ultrasound. An isotropic tetrakaidecahedron foam structure was designed in SolidWorks and printed using 3D printer with an ABS plastic material. The 3D printed foam structure was used to build a foam plate with a 14 mm thickness ($50mm{\times}100mm$ in size) for the ultrasonic test. The Kelvin foam plate, a significantly porous medium, was completely filled with paraffin wax to enable the ultrasound to penetrate through the porous medium. The acoustic wave velocity of the wax-filled Kelvin foam was measured using the time of flight (TOF) method. Furthermore, the elastic modulus of the Kelvin foam was estimated based on an elastic structural model developed in this study. The Young's modulus of the produced Kelvin foam was observed to be approximately 3.4% of the bulk value of the constituent material (ABS plastic). This finding is consistent with experimental and theoretical results reported by previous studies.

A Micromechanics based Elastic Constitutive Model for Particle-Reinforced Composites Containing Weakened Interfaces and Microcracks (계면손상과 미세균열을 고려한 입자강화 복합재료의 미세역학 탄성구성모델)

  • Lee, Haeng-Ki;Pyo, Suk-Hoon;Kim, Hyeong-Ki
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.1
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    • pp.51-58
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    • 2008
  • A constitutive model based on a combination of a micromechanics-based weakened interface elastic model (Lee and Pyo, 2007) and a crack nucleation model (Karihaloo and Fu, 1989) is proposed to predict the effective elastic behavior of particle-reinforced composites. The model specifically considers imperfect interfaces in particles and microcracks in the matrix. To exercise the proposed constitutive model and to investigate the influence of model parameters on the behavior of the composites, numerical simulations on uniaxial tension tests were conducted. Furthermore, the present prediction is compared with available experimental data in the literature to verify the accuracy of the proposed constitutive model.

An Analysis of Coherence and Resilience Depending on Materials Mixing Ratio in Elastic Landscape Pavement (조경용 탄성포장의 재료 배합비에 따른 결합력과 탄성분석)

  • Park, Won-Kyu
    • Journal of the Korean Institute of Landscape Architecture
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    • v.38 no.5
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    • pp.93-101
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    • 2010
  • The demand for elastic pavement, providing comfort for pedestrians is expected to increase continuously but the lack of a standard for materials mixing ratio, that is, the optimal mixing ratio between ERDM chip and polyurethane binder, is still in a trial and error stage. This study aimed at recommending an optimal mixing ratio for elastic landscape pavement through a coherence and resilience test depending on ratio. The test result is outlined as follows. In a tensile strength test, samples B and C indicated a close positive relationship between the binder mixing ratio and tensile strength, indicating that the higher the mixing ratio the higher the tensile strength. In a hardness test, none of samples A, B or C indicated a statistical interrelationship between the binder mixing ratio and hardness. That is, the hardness of the elastic pavement material remained unchanged, irrespective of the binder mixing ratio. In a resilience lest, Samples A and B indicated a close negative interrelation between mixing ratio and resilience, indicating that the higher the mixing ratio, the lower the resilience. Upon analyzing the optimal mixing ratio based on test results, an increase in tensile strength began to slow at a 20% mixing ratio, while resilience began to reduce rapidly at 22%, Thus the optimal range for a mixing ration appeared to be 20~22%. The outcome of this study could to provide guidance for improving the elasticity and stability of elastic pavement.

Study on the Characteristics of Pressure by Knitted Fabrics for Foundation (여성 파운데이션용 편포의 압력특성에 관한 연구)

  • Shim Bu-Ja;Lee Yang-Hun
    • Journal of the Korean Society of Clothing and Textiles
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    • v.13 no.2 s.30
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    • pp.117-127
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    • 1989
  • 여성 파운데이션용 편포의 압력특성에 관한 문제를 공학적 관점에서 검토해보기 위하여 거들용 편포와, 또한 비교를 위하여 드로우어즈용 편포를 시료로하여 완전강체 및 완전탄성체, 그리고 강체와 탄성체를 동시에 가지는 수압체를 모델로 제작하고, 시료를 고리형태로 만들어 피복시킨후 그 압력을 12시간 동안 연속측정하였다. 이때 시료의 신장정도, 수압체의 탄성체 구성비 등을 여러가지로 달리 하여 그에 따른 압력의 변화를 봄과 동시에 시간경과의 효과도 검토하여본 바 다음과 같은 결과를 얻었다. 1. 강체를 수압체로한 경우는 시료의 신장률 증가에 따라 압력이 거의 직선적으로 증가하였고, 그 정도는 거들의 재료가 드로우어즈의 재료에 비하여 훨신 크게 나타났다. 2. 수압체의 탄성체구성비가 증가할수록 신장률 증가에 따른 시료의 실질신장률의 증가 경향이 둔화되어, $40\%$신장률의 경우는 그 이전보다 오히려 감소하는 경향을 나타내었다. 3. 수압체에 탄성체가 포함된 경우는 매우 적은 압력을 나타내었으며, 시료 신장률의 증가에 따른 변화도 매우 적게 나타남으로써 시료 신장률이 클수록 강체수압체에 대한 압력과의 차이가 더욱 커지게 됨을 알 수 있었다. 그러나드로우어즈 재료의 경우는 탄성체가 받는 부담은 크지 않은 것으로 나타났다. 4. 압력의 경시변화는 초기의 압력분포 안정화 과정을 제외하고는 12시간까지 어떤 경우에도 크게 나타나지 않았다.

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Static Aeroelastic Optimization of a Composite Wing Using Genetic Algorithm (유전자 알고리즘을 이용한 복합재료 날개의 정적 공탄성 최적화)

  • Kim, Dong-Hyun;Lee, In
    • Composites Research
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    • v.13 no.2
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    • pp.61-71
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    • 2000
  • Today, the use of composite materials become an essential part in the design and manufacturing process of the flight vehicles to reduce the structural weight. Since the structural properties can be varied largely due to the stacking sequence of ply angles, it is very important problem to determine the optimized ply angles under a design objective. Thus, in this study, the analysis of static aeroelastic optimization of a composite wing has been performed. An analytical system to calculate and optimize tile aero-structural equilibrium position has been developed and incorporated with the genetic algorithm. The effects of stacking sequence on the structural deformation and aerodynamic distribution have been studied and calculated with the condition of minimum structural deformation for a swept-back composite wing. For the set of practical stacking angles, the design results to maximize the performance of static aeroelasticity are also presented.

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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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