• 제목/요약/키워드: linear viscoelastic

검색결과 206건 처리시간 0.03초

고분자 층에서 발생하는 균열 해석 (Analysis of Crack Induced in Polymeric Layer)

  • 이상순
    • 한국마이크로전자및패키징학회:학술대회논문집
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    • 한국마이크로전자및패키징학회 2003년도 기술심포지움 논문집
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    • pp.247-250
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    • 2003
  • In this paper, the boundary element analysis of viscoelastic strain energy release ,ate G(t) for the cracked linear viscoelastic materials is attempted. This study proposes the G(t) equation and the calculating method of G(t) by time-domain boundary element analysis for the viscoelastic solids. The G(t) is defined as the derivative of the viscoelastic potential energy $\Pi(t)$ with respect to crack length a. Two example problems are presented to show the applicability of the proposed method to the analysis of the cracked linear viscoelastic solids. Numerical results of example problems show the accuracy and effectiveness of the proposed method.

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고무복합체의 모세관 압출에서 비선형 점탄성 모델의 적용 (An Application of Non-linear Viscoelastic Model to Capillary Extrusion of Rubber Compounds)

  • 최성현;류민영
    • 소성∙가공
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    • 제16권4호
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    • pp.260-265
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    • 2007
  • Rubber compounds have high viscoelastic property. One of the viscoelastic behaviors during profile extrusion is the swelling of extrudate. In this study, die swells of rubber compounds at the capillary die have been investigated through experiment and computer simulation. Experiments and simulations have been performed using fluidity tester and commercial CFD code, Polyflow respectively. Die swells of rubber compounds in a capillary die were predicted using non-linear differential viscoelastic model, Phan-Thien-Tanner(PTT) model for various relaxation times and relaxation modes. The results of simulation were compared with the experiments. Pressure and velocity distribution, and circulation flows at the comer of capillary die have been investigated through computer simulation. It is concluded that the PTT model successfully represented the amount of the die swell of rubber compounds for various relaxation times at different modes.

축대칭 선형 점탄성 구조물의 정적 유한요소해석 (Finite Element Formulation for Axisymmetric Linear Viscoelastic Problems)

  • 오근;심우진
    • 한국전산구조공학회논문집
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    • 제18권3호
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    • pp.321-332
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    • 2005
  • 본 논문에서는 축대칭 형상의 점탄성 구조물이 정적 하중을 받을 때에 대한 시간영역에서의 유한요소해법의 정식화 과정을 제시한다. 또한, 여러 가지 경계조건을 갖는 점탄성 중공구나 원통 문제들의 변위나 응력 이론해들을 탄성-점탄성 상응원리를 이용하여 유도하고 제시한다. 이때 점탄성 재료는 부피변형이 탄성적이고 전단변형은 3요소로 구성된 표준선형 고체처럼 거동한다고 가정한다. 구대칭, 축대칭 및 평면변형률 유한요소모텔을 이용한 수치결과들을 유도된 이론해들과 비교하여 제시된 유한요소해법과 이론해들의 타당성과 정확성을 보인다.

Advances in measuring linear viscoelastic properties using novel deformation geometries and Fourier transform techniques

  • See, Howard
    • Korea-Australia Rheology Journal
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    • 제13권2호
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    • pp.67-81
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    • 2001
  • The development of new techniques for the dynamic measurement of linear viscoelastic properties is an active area of rheometry, and this paper surveys some novel deformation geometries which have been recently reported e.g. oscillating probe-type devices which are imbedded in or placed on the surface of the sample. Small amplitude band-limited pseudorandom noise is used for the displacement signal, with Fourier analysis of the complex waveform of the resistance force yielding the frequency dependent viscoelastic material functions (e.g. storage and loss moduli G", G"). Theoretical calculations of the fundamental equations relating force to displacement and instrument geometry, were carried out with the aid of the correspondence principle of linear viscoelasticity. The rapidity of the tests and flexibility in terms of sample preparation and stiffness mean that this basic technique should find many applications in rheometry. Three examples of oscillatory tests are presented in detail squeeze flow, imbedded needle and concentric sliding cylinder geometries.eometries.

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비선형 점탄성 댐퍼를 포함한 진동시스템의 모델링 및 해석 (Modelling and Analysis of a Vibrating System Incorporating a Viscoelastic Damper)

  • 양성영;장서일;김상주
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.449-454
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    • 2000
  • A three-parameter model of viscoelastic damper, which has a non-linear spring as an element is incorporated into an oscillator. The behavior of the damper model shows non-linear hysteresis curves which is qualitatively similar to those of real viscoelastic materials. The motion is governed by three-dimensional non-linear dynamical system of equations. The harmonic balance method is applied to get analytic solutions of the system. The frequency-response curves show that multiple solutions co-exist and that the jump phenomena can occur. In addition, it is shown that separate solution branch exists and that it can merge with the primary response curve. Saddle-node bifurcation sets explain the occurences of such non-linear phenomena. A direct time integration of the original equation of motion validifies the use of the harmonic balance method to this sort of problem.

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Investigation of entanglement dynamics of flexible polymer chains via comparison of dielectric and viscoelastic properties: a review of recent findings

  • Watanabe, H.
    • Korea-Australia Rheology Journal
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    • 제13권4호
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    • pp.205-217
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    • 2001
  • This review article summarizes results of recent viscoelastic and dielectric studies for entangled cis-polyisoprene (PI) chains. The PI chains have the so-called type-A dipoles parallel along the chain backbone, and their slow viscoelastic and dielectric relaxation processes reflect the same global chain motion. However, this motion is differently averaged in the viscoelastic and dielectric properties, the former representing the isochronal orientational anisotropy of individual entanglement segments while the latter detecting the orientational correlation of the segments at two separate times (0 and t). On the basis of this difference, the viscoelastic and dielectric data of the entangled PI chains were compared to elucidate detailed features of the chain dynamics. Specifically, the molecular picture of dynamic tube dilation (DTD) incorporated in recent models was tested for linear and star PI chain. The comparison revealed that the DTD picture was valid for linear PI chains but failed for the star PI chains in the dominant part of the terminal relaxation. The failure for the star chains was related to the pre-requisite for the DTD process, rapid equilibration of successive entanglement segments through their constraint release (CR) motion: For the star chains, the dilated tube diameter expected in the terminal regime was considerably large because of a broad distribution of motional modes of the chains, so that the CR-equilibration required for DTD could not occur in time. The terminal relaxation of the star chain appeared to occur through the CR process before the expected DTD process was completed. The situation was different for the linear chain exhibiting narrowly distributed motional modes. The dilated tube expected for the linear chain was rather thin and the required CR-equilibration occurred in time, resulting in the success of the DTD picture. These detailed features of the chain dynamics was revealed only when the viscoelastic and dielectric properties were compared, demonstrating the importance of this comparison.

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선형 부착성 점탄성 접촉모형의 DEM 적용 및 해석적 방법을 이용한 검증 (Implementation and Verification of Linear Cohesive Viscoelastic Contact Model for Discrete Element Method)

  • 윤태영;유평준
    • 한국도로학회논문집
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    • 제17권4호
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    • pp.25-31
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    • 2015
  • PURPOSES: Implementation and verification of the simple linear cohesive viscoelastic contact model that can be used to simulate dynamic behavior of sticky aggregates. METHODS: The differential equations were derived and the initial conditions were determined to simulate a free falling ball with a sticky surface from a ground. To describe this behavior, a combination of linear contact model and a cohesive contact model was used. The general solution for the differential equation was used to verify the implemented linear cohesive viscoelastic API model in the DEM. Sensitivity analysis was also performed using the derived analytical solutions for several combinations of damping coefficients and cohesive coefficients. RESULTS : The numerical solution obtained using the DEM showed good agreement with the analytical solution for two extreme conditions. It was observed that the linear cohesive model can be successfully implemented with a linear spring in the DEM API for dynamic analysis of the aggregates. CONCLUSIONS: It can be concluded that the derived closed form solutions are applicable for the analysis of the rebounding behavior of sticky particles, and for verification of the implemented API model in the DEM. The assumption of underdamped condition for the viscous behavior of the particles seems to be reasonable. Several factors have to be additionally identified in order to develop an enhanced contact model for an asphalt mixture.

Spreading Kinetics of Poly(diisobutylene maleic acid) at the Air-water Interface

  • Kim, Nam Jeong
    • 한국응용과학기술학회지
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    • 제32권4호
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    • pp.661-668
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    • 2015
  • The surface rheological properties of polymer monolayer show complicated non-linear viscoelastic flow phenomena when they are subjected to spreading flow. These spreading flow properties are controlled by the characteristics of flow units. The kinetics of the formation of an interfacial film obtained after spreading poly(diisobutylene maleic acid) at air-water interface were studied by measuring of the surface pressure with time. The experimental data were analyzed theoretically according to a nonlinear surface viscoelastic model. The values of dynamic modulus, static modulus, surface viscosities and rheological parameters in various area/ monomer were obtained by appling experimental data to the equation of nonlinear surface viscoelastic model.

경계요소법을 사용한 선형 점탄성문제의 해석 (Analysis of linear viscoelastic problems using boundary element method)

  • 심우진;곽병만
    • 대한기계학회논문집
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    • 제11권2호
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    • pp.322-330
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    • 1987
  • 본 논문에서는 전자의 해석중에서 유한요소와 경계요소의 결합으로 생기는 문 제점 그리고 증가된 자요도로 인한 경제성의 손실 등을 고려하여 2차의 경계요소만을 사용한 경계요소법을 시도하였으며 다른 형태의 점탄성기본해 및 점탄성 경계적분식을 유도 사용하였다. 그리고 시도된 방법의 타당성을 보이기 위하여 사용된 예제들(평 면변형문제)의 이론해를 상응원리를 사용하여 유도하였으며 이를 수치결과와 비교하여 근사해의 정확함을 알 수가 있었다.

유전적분형 선형 점탄성문제의 유한요소법에 의한 효율적 해석 (Advanced Finite Element Analysis for Linear Viscoelastic Problems of a Hereditary-Type Constitutive Law)

  • 심우진;이성희
    • 전산구조공학
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    • 제6권2호
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    • pp.103-114
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    • 1993
  • 유전적분형 물성방정식에 근거한 선형 점탄성문제의 효율적인 수치해석을 위해서 새로운 유한요소해법을 공식화하였다. 각 시간구간에서 변수변화를 선형적으로 가정하고 유전적분의 계산을 매우 효율적으로 처리하였다. 그 결과 과거의 해석법에 비하여 수치정확도 및 경제성에서 큰 향상을 얻었다.

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