Article
  • Study on the Coefficient of Thermal Expansion for Composites Containing 3-Dimensional Ellipsoidal Inclusions
  • Lee KY, Kim KH, Jeoung SK, Jeon HJ, Joo SI
  • 3차원적 타원 형태의 충전제를 함유하는 복합체의 열팽창 계수 연구
  • 이기윤, 김경환, 정선경, 전형진, 주상일
Abstract
The theoretical study is developed for predicting the thermal expansion changes of composites which include complex inclusion, which is used three-dimensional ellipsoid model(a1>a2>a3), which has two aspect ratios (the primary aspect ratio, ρα=a1/a3 and the secondary aspect ratio, ρβ=a1/a2). We can predict the feature of general thermal expansion factors by theoretical approach of matrix with aligned ellipsoidal inclusion using the Eshelby's equivalent tensor. The coefficients of longitudinal linear thermal expansion α11 decrease to those of inclusions,αf, as both aspect ratios increase. The coefficients of transverse linear thermal expansion of composites α33 initially increase and show the parabolic curves with maximum values, as the concentrations of filler increase. The coefficient of thermal expansion, α22 in the transverse direction decreases, as ρα increases, however, α22 increases as ρα increases. The coefficient of linear thermal expansion of composites, α33 in the normal direction increases, as ρα increases, while α33 decreases as ρβ increases.

3차원적 타원체 형태(a1>a2>a3)를 사용하여, 2가지의 종횡비(1차 종횡비 ρα와 2차 종횡비 ρβ)를 갖는 배열된 3차원 형태의 충전제를 포함하는 복합체의 열팽창 변화를 이론적으로 예측하는 모델을 연구하였다. Eshelby의 등가 텐서를 이용하여 배열된 타원형 충전제를 기지재의 이론에 의해 열팽창 계수를 예측할 수 있었다. 종단방향 열팽창 계수 α11는 두 가지 종횡비 모두 증가하면, 감소하여 충전제의 열팽창에 접근한다. 수직방향 열팽창 계수 α33는 충전제 함유량에 따라 초기에는 증가하여 최대값을 갖는 경향을 보인다. 1차 종횡비 ρα가 증가하면, 횡단방향 열팽창 계수는 감소하나, 2차 종횡비 ρβ가 증가하면, 같이 증가한다. 또한, 수직방향 열팽창 계수 α33는 ρα가 증가하면 증가하나, ρβ가 증가하면, α33는 반대로 감소한다.

Keywords: composite; three-dimension; primary aspect ratio; secondary aspect ratio; coefficient of thermal expansion

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  • Polymer(Korea) 폴리머
  • Frequency : Bimonthly(odd)
    ISSN 0379-153X(Print)
    ISSN 2234-8077(Online)
    Abbr. Polym. Korea
  • 2022 Impact Factor : 0.4
  • Indexed in SCIE

This Article

  • 2007; 31(3): 206-214

    Published online May 25, 2007

  • Received on Feb 2, 2007
  • Accepted on Mar 30, 2007