[논문]평균장 균질화를 이용한 입자 강화 복합재의 유효 물성치 예측 연구 동향

이상륜; 유승화

doi:10.7234/composres.2020.33.2.081

[국내논문] 평균장 균질화를 이용한 입자 강화 복합재의 유효 물성치 예측 연구 동향
A Review of Mean-Field Homogenization for Effective Physical Properties of Particle-Reinforced Composites 원문보기

Composites research = 복합재료, v.33 no.2, 2020년, pp.81 - 89

이상륜 (Department of Mechanical Engineering, KAIST) , 유승화 (Department of Mechanical Engineering, KAIST)

초록
AI-Helper

본 리뷰 논문에서는 최근에 연구된 평균장 균질화법을 이용한 다양한 물성치 예측 연구의 동향에 대해 소개한다. 유효 강성 예측에 사용되는 기존의 균질화법을 소개하고 이를 확장하여 유효 열/전기 전도성 및 유전 상수를 예측하는 방법을 소개한다. 압전 및 열전과 같이 2개의 물리현상이 중첩된 다중 물리 현상의 구성방정식은 훅 법칙과 같이 단순한 선형 형태로 변환하여 복합재의 유효 물성치를 예측하는 연구를 소개하고 마지막으로 복합 재료의 유효 물성치를 예측하기 위한 일반화된 식을 제시하고 유한 요소 해석과 비교한 검증/연구를 소개한다.

Abstract ▼ AI-Helper

In this review paper, we introduce recent research studied effective physical properties of the reinforced composite using mean-field homogenization. We address homogenization for effective stiffness and expand it to effective thermal/electrical conductivity and dielectric constant. Multiphysics problems like piezoelectricity and thermoelectricity are considered by simplifying the constitutive equation into the linear equations like Hooke's law. We present a generalized theoretical formula for predicting effective physical properties of composite and validation by against finite element analysis.

Keyword

표/그림 (9)

그림 Fig. 1. The schematic of single inclusion problem.
그림 Fig. 3. The schematic of single inhomogeneity problem
그림 Fig. 2. (a) Geometry used for the FEA. (b) Eshelby tensor for L/D. (c) Mesh size-dependent convergence test for single inclusion problem.
$Fig. 4. (a) Effective stiffness prediction with different models. The stress field within simulation cell for (b) 5% (c) 34% volume fraction.$ 그림 Fig. 4. (a) Effective stiffness prediction with different models. The stress field within simulation cell for (b) 5% (c) 34% volume fraction.
표 Table 1. Mathematical analogy between other physics [33]
그림 Fig. 5. Theoretically predicted (a) κ_eff/κ₀ and (b) α_eff /α₀ with different average temperatures. (c) Configuration for converting the composite into a serial connection of homogenized pieces when a large temperature difference is imposed. (d) κ_eff/κ₀ and α_eff /α₀ when a large temperature difference is imposed.
그림 Fig. 6. The independent Eshelby tensor components for a spherical inclusion in an orthotropic ((a) S₁₁, (b) S₂₂, (c) S₃₃) and (d) transversely isotropic matrix.
그림 Fig. 8. Representative volume elements used for FEA.
그림 Fig. 7. (a) Effective Young's modulus, (b) thermal conductivity, (c) thermoelectric properties and (d) piezoelectric coefficient of particle reinforced composite.

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