• Title/Summary/Keyword: Transverse Young's Modulus

검색결과 31건 처리시간 0.024초

Characterization and behaviors of single walled carbon nanotube by equivalent-continuum mechanics approach

  • Eltaher, Mohamed A.;Almalki, Talaal A.;Ahmed, Khaled I.E.;Almitani, Khalid H.
    • Advances in nano research
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    • 제7권1호
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    • pp.39-49
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    • 2019
  • This paper focuses on two main objectives. The first one is to exploit an energy equivalent model and finite element method to evaluate the equivalent Young's modulus of single walled carbon nanotubes (SWCNTs) at any orientation angle by using tensile test. The calculated Young's modulus is validated with published experimental results. The second target is to exploit the finite element simulation to investigate mechanical buckling and natural frequencies of SWCNTs. Energy equivalent model is presented to describe the atomic bonding interactions and their chemical energy with mechanical structural energies. A Program of Nanotube modeler is used to generate a geometry of SWCNTs structure by defining its chirality angle, overall length of nanotube and bond length between two adjacent nodes. SWCNTs are simulated as a frame like structure; the bonds between each two neighboring atoms are treated as isotropic beam members with a uniform circular cross section. Carbon bonds is simulated as a beam and the atoms as nodes. A finite element model using 3D beam elements is built under the environment of ANSYS MAPDL environment to simulate a tensile test and characterize equivalent Young's modulus of whole CNT structure. Numerical results are presented to show critical buckling loads, axial and transverse natural frequencies of SWCNTs with different orientation angles and lengths. The understanding of mechanical behaviors of CNTs are essential in developing such structures due to their great potential in wide range of engineering applications.

Transverse cracking based numerical analysis and its effects on cross-ply laminates strength under thermo-mechanical degradation

  • Abdelatif, Berriah;Abdelkader, Megueni;Abdelkader, Lousdad
    • Structural Engineering and Mechanics
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    • 제60권6호
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    • pp.1063-1077
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    • 2016
  • Components manufactured from composite materials are frequently subjected to superimposed mechanical and thermal loadings during their operating service. Both types of loadings may cause fracture and failure of composite structures. When composite cross-ply laminates of type [$0_m/90_n]_s$ are subjected to uni-axial tensile loading, different types of damage are set-up and developed such as matrix cracking: transverse and longitudinal cracks, delamination between disoriented layers and broken fibers. The development of these modes of damage can be detrimental for the stiffness of the laminates. From the experimental point of view, transverse cracking is known as the first mode of damage. In this regard, the objective of the present paper is to investigate the effect of transverse cracking in cross-ply laminate under thermo-mechanical degradation. A Finite Element (FE) simulation of damage evolution in composite crossply laminates of type [$0_m/90_n]_s$ subjected to uni-axial tensile loading is carried out. The effect of transverse cracking on the cross-ply laminate strength under thermo-mechanical degradation is investigated numerically. The results obtained by prediction of the numerical model developed in this investigation demonstrate the influence of the transverse cracking on the bearing capacity and resistance to damage as well as its effects on the variation of the mechanical properties such as Young's modulus, Poisson's ratio and coefficient of thermal expansion. The results obtained are in good agreement with those predicted by the Shear-lag analytical model as well as with the obtained experimental results available in the literature.

수종의 실란처리 유리섬유를 첨가한 의치상용 레진의 강도변화 및 마모전.후 표면성상분석 (EFFECTS Of VARIOUS SILANE COUPLING AGENTS ON THE STRENGTH AND THE SURFACE ROUGHNESS OF GLASS FIBER-ADDED PMMA RESIN)

  • 이상일;김창회;임영준;김명주;윤석대
    • 대한치과보철학회지
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    • 제45권4호
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    • pp.457-468
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    • 2007
  • Statements of problem: The fracture of acrylic resin dentures remains an unsolved problem. Therefore, many investigations have been performed and various approaches to strengthening acrylic resin, for example, the reinforcement of heat-cured acrylic resin using glass fibers, have been suggested over the years. Silane is important for bonding between glass fiber and resin. Purpose: The aim of the present study was to investigate the effect of various silane on the strength of PMMA resin and roughness of resin-glass fiber complex after abrasion test. Material and methods: 3mm glass fiber (Chopped strand, Hankuk fiber Co., Milyang, Korea) was treated with 3 kinds of silane (MPS, EPS, APS) (Sila-ace, Chisso chemical, Tokyo, Japan) and mixed with PMMA resin(Vertex RS, Vertex Dental B.V., Zeist, Netherlands). Transverse strength and Young's modulus was measured using Instron (Instron model 4466, Instron, Massachusetts, USA). After abrasion test (The 858 Mini Bionix II Test System, MTS System Co., Minnesota, USA) surface roughness was evaluated using tester (Form Talysurf plus, Taylor Hopson Ltd., Leicester England). Examination of scanning electron microscope was also performed. Results: Within this study, the following conclusions were drawn. 1. Surface treatment of glass fiber with MPS and APS increased transverse strength of PMMA resin complex, but surface treatment with EPS decreased transverse strength of PMMA resin complex (p<0.05). 2. Silane treated glass fiber increased Young's modulus of PMMA resin complex compared to desized glass fiber (p<0.05). 3. Roughness increased after abrasion test in case of PMMA resin reinforced with desized glass fiber (p<0.05). 4. Roughness change was not observed after abrasion test in case of PMMA resin reinforced with silane treated glass fiber (p>0.05).

Green Composites. II. Environment-friendly, Biodegradable Composites Using Ramie Fibers and Soy Protein Concentrate (SPC) Resin

  • Nam Sung-Hyun;Netravali Anil N.
    • Fibers and Polymers
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    • 제7권4호
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    • pp.380-388
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    • 2006
  • Fully biodegradable and environment-friendly green composite specimens were made using ramie fibers and soy protein concentrate (SPC) resin. SPC was used as continuous phase resin in green composites. The SPC resin was plasticized with glycerin. Precuring and curing processes for the resin were optimized to obtain required mechanical properties. Unidirectional green composites were prepared by combining 65% (on weight basis) ramie fibers and SPC resin. The tensile strength and Young's modulus of these composites were significantly higher compared to those of pure SPC resin. Tensile and flexural properties of the composite in the longitudinal direction were moderate and found to be significantly higher than those of three common wood varieties. In the transverse direction, however, their properties were comparable with those of wood specimens. Scanning electron microscope (SEM) micrographs of the tensile fracture surfaces of the green composite indicated good interfacial bonding between ramie fibers and SPC resin. Theoretical values for tensile strength and Young's modulus, calculated using simple rule of mixture were higher than the experimentally obtained values. The main reasons for this discrepancy are loss of fiber alignment, voids and fiber compression due to resin shrinking during curing.

탄소나노튜브/폴리에스터 복합재의 역학적 거동과 하중전달에 관한 분자 동역학 전산모사 : 그래프팅 가공의 영향 (Molecular Dynamics Study on Mechanical Behavior and Load Transfer of CNT/PET Nanocomposites : the Effects of Covalent Grafting)

  • 진주호;양승화
    • Composites Research
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    • 제30권3호
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    • pp.193-201
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    • 2017
  • 탄소나노튜브와 폴리에스터 계면 간 그래프팅이 나노복합재의 역학적 거동과 하중전달에 미치는 영향을 고찰하기 위해 분자동역학 전산모사를 수행하고 그 결과를 Mori-Tanaka 모델 예측해와 비교하였다. 각 방향으로의 인장과 전단 전산모사를 통해 응력-변형률 선도를 도출한 후, 가교 유무에 따른 탄성거동 변화를 관찰하였다. 또한 가로등방성 강성행렬을 방향 평균하여 나노튜브가 랜덤분포하는 경우의 등방성 영률과 전단계수를 구하였다. 그 결과 가로방향 영률과 전단계수는 그래프팅 가공에 의해 향상되었으나, 길이방향 영률의 경우 나노튜브의 물성감소로 인해 오히려 물성이 저하되었다. 나노튜브의 랜덤분포를 고려한 예측 결과에서는 그래프팅 가공에 의해 물성이 약간 감소하였다.

충전제 함량과 형태에 따른 PP복합체의 모듈러스 변화에 대한 실증적 연구 (Empirical Study for the Effects of Various Filler-Shapes on the Modulus of PP Composites)

  • 김재민;정선경;심제현;황효연;이기윤
    • 폴리머
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    • 제34권4호
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    • pp.346-351
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    • 2010
  • 복합체의 기계적 물성 중에서 특히 충전제 형태와 함량에 따라 폴리프로필렌 복합체의 모듈러스 변화에 미치 는 영향에 관해 연구하였다. Eshelby의 중첩원리를 바탕으로 Lee와 Paul에 의해 제안된 두 개의 종횡비, ${\rho}_\alpha=a_1/a_3$${\rho}_\beta=a_1/a_2$를 가지고 분석한 3차원 타원체의 이론적 예측을 실험값과 비교 분석하였다. 충전제의 형태를 SEM을 이용해 관찰하였고, 종횡비는 통계적 방법으로 계산하였다. 구의 형태를 띠는 황산바륨의 횡단방향과 종단방향의 모 듈러스가 이론적 예측과 유사한 결과를 보였다. 유리섬유의 경우 충전제의 함량이 증가함에 따라 $x_1$방향의 모듈러스 가 증가하였지만, $x_3$ 방향의 증가는 상대적으로 작았다. 또한, 2개의 종횡비가 기계적 물성에 미치는 영향에 대해 운모를 가지고 연구하였다.

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.

초음파 비파괴 시험법을 이용한 탄성계수의 산정을 통한 침엽수 구조용재의 이방성에 관한 기초연구 (Anisotropy of Softwood Structural Lumber Using The Elastic Modulus Determined by The Ultrasonic Nondestructive Method)

  • 오세창
    • Journal of the Korean Wood Science and Technology
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    • 제45권1호
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    • pp.20-27
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    • 2017
  • 본 연구의 목적은 목재의 세 주요 축 방향에 대하여 각 방향별 탄성계수를 비파괴적으로 측정하여 이에 따른 목재의 이방성을 검토해 보고자 하였다. 결점이 없는 SPF (spruce-pine-fir)와 Hem-fir 및 낙엽송재에 대하여 무결점 시험편을 채취하고 각 시험편에 대해 세 방향에서 초음파 속도를 측정한 다음, 이 속도와 각 재료의 밀도를 이용하여 산정된 탄성계수를 비교하였다. 시험 결과 초음파속도 및 탄성계수는 방향별로 목재의 길이방향, 방사방향, 접선방향의 순으로 나타났으며, 밀도가 높을수록 각 방향별 탄성계수가 더 높게 나타났다. 수종 간에 있어서 길이방향의 탄성계수의 차이보다 방사방향, 접선방향의 차이가 더 크게 나타났다. 산정된 탄성계수를 사용하여 재료의 이방성을 비교하여 제시하였으며, 이를 통해 강성매트릭스의 대각선 항을 산정하였다.

同一한 衝擊에너지 條件下의 CFRP 斜交積層板의 衝擊損傷과 配向角의 關係 (Relations Between Impact Damage and Ply Angle Under Same Impact Energy Condition)

  • 배태성;;양동율
    • 대한기계학회논문집
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    • 제16권10호
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    • pp.1824-1832
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    • 1992
  • 본 연구에서는 충돌입자의 크기의 영향을 평가하기 위하여 동일한 운동에너지 를 갖는 직경 5mm 및 10mm의 강구를 시편에 충돌시킨 후 배항각 변화에 따른 손물역의 크기 변화를 초음파현미경(SAM)과 주사전자현미경(SEM)으로 관찰하였고, 충돌에 따른 압축강성의 변화를 고찰하기 위하여 충격전후의 압축탄성계수를 측정하였다.

Thermal buckling properties of zigzag single-walled carbon nanotubes using a refined nonlocal model

  • Semmah, Abdelwahed;Beg, O. Anwar;Mahmoud, S.R.;Heireche, Houari;Tounsi, Abdelouahed
    • Advances in materials Research
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    • 제3권2호
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    • pp.77-89
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    • 2014
  • In the present article, the thermal buckling of zigzag single-walled carbon nanotubes (SWCNTs) is studied using a nonlocal refined shear deformation beam theory and Von-Karman geometric nonlinearity. The model developed simulates both small scale effects and higher-order variation of transverse shear strain through the depth of the nanobeam. Furthermore the present formulation also accommodates stress-free boundary conditions on the top and bottom surfaces of the nanobeam. A shear correction factor, therefore, is not required. The equivalent Young's modulus and shear modulus for zigzag SWCNTs are derived using an energy-equivalent model. The present study illustrates that the thermal buckling properties of SWCNTs are strongly dependent on the scale effect and additionally on the chirality of zigzag carbon nanotube. Some illustrative examples are also presented to verify the present formulation and solutions. Good agreement is observed.