• 제목/요약/키워드: viscoelastic matrix

검색결과 66건 처리시간 0.022초

A simplified matrix stiffness method for analysis of composite and prestressed beams

  • Deretic-Stojanovic, Biljana;Kostic, Svetlana M.
    • Steel and Composite Structures
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    • 제24권1호
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    • pp.53-63
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    • 2017
  • The paper presents the simplified matrix stiffness method for analysis of composite and prestressed beams. The method is based on the previously developed "exact" analysis method that uses the mathematical theory of linear integral operators to derive all relations without any mathematical simplifications besides inevitable idealizations related to the material rheological properties. However, the method is limited since the closed-form solution can be found only for specific forms of the concrete creep function. In this paper, the authors proposed the simplified analysis method by introducing the assumption that the unknown deformations change linearly with the concrete creep function. Adopting this assumption, the nonhomogeneous integral system of equations of the "exact" method simplifies to the system of algebraic equations that can be easily solved. Therefore, the proposed method is more suitable for practical applications. Its high level of accuracy in comparison to the "exact" method is preserved, which is illustrated on the numerical example. Also, it is more accurate than the well-known EM method.

다중벽 탄소나노튜브강화 에폭시 매트릭스 복합재료의 열적 및 동적 점탄성 거동 연구 (Studies on Thermal and Dynamic Viscoelastic Behaviors of Multiwalled Carbon Nanotubes-reinforced Epoxy Matrix Composites)

  • 서민강;박수진
    • Korean Chemical Engineering Research
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    • 제43권3호
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    • pp.401-406
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    • 2005
  • 본 연구에서는 다중벽 탄소나노튜브의 화학적 표면처리가 에폭시 매트릭스 복합재료의 유리전이온도, 열안정성 그리고 동적 점탄성거동에 미치는 영향을 고찰하기 위하여 시차주사열량계(DSC), 열중량분석기(TGA) 그리고 동적 기계적 분석기(DMA)를 통하여 각각 측정하였다. 탄소나노튜브의 표면처리는 35 wt%의 $H_3PO_4$(A-MWNTs) 혹은 35 wt% KOH(B-MWNTs) 용액으로 화학적 표면처리를 하였으며, 표면처리 후 표면특성 변화는 pH, 표면 산 및 염기도, 적외선 분광법(FT-IR)과 자외선 광전자 스펙트럼(XPS) 분석을 통하여 알아보았다. 그 결과로서, 산-염기 상호반응에 의한 각각의 표면처리는 탄소나노튜브의 표면특성 및 화학적 조성 변화를 가져오며, 산처리한 MWNTs/에폭시 복합재료의 경우가 염기처리 및 미처리 시편과 비교하여 열안정성 및 동적 점탄성 특성에 있어서 탄소나노튜브 표면에 도입된 산성 관능기 그룹의 영향으로 큰 값을 나타내었다. 이는 염기성을 가지는 에폭시 수지와 산성을 가지는 탄소나노튜브와의 산-염기 및 수소결합에 의한 계면결합력의 향상 때문이라 생각된다.

Dynamics of Pore Growth in Membranes and Membrane Stability

  • W. Sung;Park, P. J.
    • 한국생물물리학회:학술대회논문집
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    • 한국생물물리학회 1998년도 학술발표회
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    • pp.15-15
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    • 1998
  • Pores can form and grow in biomembranes because of factors such as thermal fluctuation, transmembrane electrical potential, and cellular environment. We propose a new statistical physics model of the pore growth treated as a non-Markovian stochastic process, with a free energy barrier and memory friction from the membrane matrix treated as a quasi-two-dimensional viscoelastic and dielectric fluid continuum.(omitted)

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Viscoelastic analysis of residual stresses in a unidirectional laminate

  • Lee, Sang Soon;Sohn, Yong Soo
    • Structural Engineering and Mechanics
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    • 제2권4호
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    • pp.383-393
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    • 1994
  • The residual stress distribution in a unidirectional graphite/epoxy laminate induced during the fabrication process is investigated at the microstress level within the scope of linear viscoelasticity. To estimate the residual stresses, the fabrication process is divided into polymerization phase and cool-down phase, and strength of materials approach is employed. Large residual stresses are not generated during polymerization phase because the relaxation modulus is relatively small due to the relaxation ability at this temperature level. The residual stresses increase remarkably during cool-down process. The magnitude of final residual stress is about 80% of the ultimate strength of the matrix material at room temperature. This suggests that the residual stress can have a significant effect on the performance of composite structure.

실험 렌즈의 광량과 해상력 측정 (A Study on the Measurement of Quantity of Light and Resolving Power of a Hand-made Lens)

  • 강현덕
    • 한국인쇄학회지
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    • 제14권1호
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    • pp.89-114
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    • 1996
  • Liquid crystal-polymer composite(LCPC) films consisting of a continuous LC phase embedded in a three-dimensional network of polymer matrix are formed by photopolymerization-induced phase separ on. The LCPC films are switched from a light-scattering stats to a highly transparent stats on the application of electric fields. Since the alignment of LC molecular determines the electro-optical properties of films, the requirement for good contrast is to generate the nematic phase at high concentration. On the other hand, the concentration of UV-curable monomer must be increased above some critical value to from the flexible matrix of unbounded polymer. The mixing ratio of LC and UV-curable monomer affects the electro-optical and viscoelastic properties of LCPD films in two opposing ways. By controlling the phase separation process, at an LC fraction of 0.7, the maximum performance of LCPC films has been achieved, the response time of which is 2ms on the application of electric fields.

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천연고무의 온도에 따른 동적 점탄성 연구 (A Study of Dynamic Viscoelastic Properties on Temperatures of Natural Rubber)

  • 이범철;유길상
    • Elastomers and Composites
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    • 제32권1호
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    • pp.29-36
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    • 1997
  • The change of elastic modulus(E'), loss modulus(E"), and loss $tangent(tan{\delta})$ were investigated on condition of double strain amplitude (DSA) at temperature of $-40{\sim}80^{\circ}C$ for carbon black filled natural rubber. E', E", and $tan{\delta}$ were increased as it closed to the glass transition temperature due to decrease of rubber network flexibility and carbon black agglomerate interaction. In the micro strain range, energy loss showed maximum value because of the chain slippage in rubber matrix, but the regeneration of carbon black agglomerate and rubber matrix affected decrease of energy loss over the mid-range strain. As a results of regression analysis, $E'\;_{max}$ correlation with ${\Delta}E'$ $(E'\;_{0.4%DSA}-E'\;_{2.0%DSA})$ showed linear relationship.

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Finite element analysis of planar 4:1 contraction flow with the tensor-logarithmic formulation of differential constitutive equations

  • Kwon Youngdon
    • Korea-Australia Rheology Journal
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    • 제16권4호
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    • pp.183-191
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    • 2004
  • High Deborah or Weissenberg number problems in viscoelastic flow modeling have been known formidably difficult even in the inertialess limit. There exists almost no result that shows satisfactory accuracy and proper mesh convergence at the same time. However recently, quite a breakthrough seems to have been made in this field of computational rheology. So called matrix-logarithm (here we name it tensor-logarithm) formulation of the viscoelastic constitutive equations originally written in terms of the conformation tensor has been suggested by Fattal and Kupferman (2004) and its finite element implementation has been first presented by Hulsen (2004). Both the works have reported almost unbounded convergence limit in solving two benchmark problems. This new formulation incorporates proper polynomial interpolations of the log­arithm for the variables that exhibit steep exponential dependence near stagnation points, and it also strictly preserves the positive definiteness of the conformation tensor. In this study, we present an alternative pro­cedure for deriving the tensor-logarithmic representation of the differential constitutive equations and pro­vide a numerical example with the Leonov model in 4:1 planar contraction flows. Dramatic improvement of the computational algorithm with stable convergence has been demonstrated and it seems that there exists appropriate mesh convergence even though this conclusion requires further study. It is thought that this new formalism will work only for a few differential constitutive equations proven globally stable. Thus the math­ematical stability criteria perhaps play an important role on the choice and development of the suitable con­stitutive equations. In this respect, the Leonov viscoelastic model is quite feasible and becomes more essential since it has been proven globally stable and it offers the simplest form in the tensor-logarithmic formulation.

폴리염화비닐(PVC)/염화비닐-아크릴로니트릴 공중합체의 용액 블렌드에 관한 연구 (A Study on Solution Blend of Poly(vinyl chloride) with Poly(VC-co-AN))

  • 이수;오강석;김성룡;오영세
    • 폴리머
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    • 제26권5호
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    • pp.559-567
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    • 2002
  • Poly (vinyl chloride) (PVC)와 vinyl chloride(VC)/acrylonitrile(AN) 함량비에 따른 poly-(VC-co-AN)와의 블렌드 필름을 제조하여 morphology, 점도, 동적 점탄성 및 기계적 물성을 고찰하였다. 블렌드의 morphology는 전반적으로 matrix-domain 형태의 비상용계로 공중합체에서 VC 함량이 증가할수록 morphology는 다소 균일하였다. 특히 VC 함량이 77.21%인 MO-01 블렌드의 경우 PVC가 많은 영역에서 상용성은 우수하였다. 블렌드 용액의 점도는 전반적으로 비상용성으로 인하여 negative deviation을 보이나, MO-01 블렌드에서 PVC 함량이 90%일 때 급격한 점도의 증가를 보였으며, 저장탄성율 및 T$_{g}$ 거동에서 MO-01 블렌드의 경우 상용성 블렌드의 T$_{g}$ 변화와 경향이 유사하였으나 MO-02 및 MO-03의 경우 비상용성 블렌드의 경향을 나타내었다. PVC와 poly(VC-co-AN)의 블렌드에서 VC의 함량이 가장 높은 MO-01와 90:10인 조건에서의 상용성이 가장 뛰어났으며, 블렌드 필름의 기계적 물성의 향상은 발견할수 없었다.

Porosity-dependent vibration investigation of functionally graded carbon nanotube-reinforced composite beam

  • Abdulmajeed M. Alsubaie;Ibrahim Alfaqih;Mohammed A. Al-Osta;Abdelouahed Tounsi;Abdelbaki Chikh;Ismail M. Mudhaffar;Saeed Tahir
    • Computers and Concrete
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    • 제32권1호
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    • pp.75-85
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    • 2023
  • This work utilizes simplified higher-order shear deformation beam theory (HSDBT) to investigate the vibration response for functionally graded carbon nanotube-reinforced composite (CNTRC) beam. Novel to this work, single-walled carbon nanotubes (SWCNTs) are distributed and aligned in a matrix of polymer throughout the beam, resting on a viscoelastic foundation. Four un-similar patterns of reinforcement distribution functions are investigated for the CNTRC beam. Porosity is another consideration taken into account due to its significant effect on functionally graded materials (FGMs) properties. Three types of uneven porosity distributions are studied in this study. The damping coefficient and Winkler's and Pasternak's parameters are considered in investigating the viscosity effect on the foundation. Moreover, the impact of different parameters on the vibration of the CNTRC beam supported by a viscoelastic foundation is discussed. A comparison to other works is made to validate numerical results in addition to analytical discussions. The findings indicate that incorporating a damping coefficient can improve the vibration performance, especially when the spring constant factors are raised. Additionally, it has been noted that the fundamental frequency of a beam increases as the porosity coefficient increases, indicating that porosity may have a significant impact on the vibrational characteristics of beams.

열팽창 치공구를 이용한 열경화성 복합재료의 성형연구 (Thermally-Expandable Molding Process for Thermoset Composite Materials)

  • 이준호;금성우;장원영;남재도
    • 폴리머
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    • 제24권5호
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    • pp.690-700
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    • 2000
  • 본 연구에서는 온도의 상승에 의하여 부피가 팽창하는 열팽창 고무 치공구의 팽창 특성을 이용하여 열경화성 복합재료를 경화하고 압축하는 과정을 실험과 모델링을 통하여 해석하였다. 열팽창 고무치공구가 사용되는 닫힌계 (fixed-volume process)와 열린계 (variable-volume process)에서 예상되는 압력을 이론적으로 유도하였고, 경화가 수반되는 과정에 있어서는 실험을 통하여 열팽창 치공구와 프리프레그가 나타내는 압력을 측정하였다. 온도가 상승하고 경화가 수반되는 경우에 등속도 압축실험에 의하여 얻어진 응력-변형율 곡선은 비선형 점탄성 특성을 보여주었는데, 본 연구에서는 Maxwell모델을 KWW (Kohlrausch-Williame-Watts)식으로 변형시킨 모델식을 이용하여 이를 매우 정확하게 표현할 수 있었다. 이 모델을 이용하여 몰드의 부피를 고정시킨 상태에서 경화시키는 닫힌계 공정에서 예상되는 압력을 예측하였으며 따라서 열팽창 치공구를 열경화성 복합재료의 경화압축 공정에 성공적으로 적용하였고 이를 해석하였다.

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