Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Study on Inverse Approach to Validation of Viscoplastic Model of Sn37Pb Solder and Identification of Model Parameters

Sn37Pb 솔더의 점소성 모델 검증 및 파라메터 추정을 위한 역접근법에 관한 연구

  • Gang, Jin-Hyuk (School of Aerospace and Mechanical Engineering, Korea Aerospace Univ.) ;
  • Lee, Bong-Hee (Dept. of Engineering Mechanics, Chungbuk Nat'l Univ.) ;
  • Choi, Joo-Ho (School of Aerospace and Mechanical Engineering, Korea Aerospace Univ.) ;
  • Joo, Jin-Won (Dept. of Engineering Mechanics, Chungbuk Nat'l Univ.)
  • 강진혁 (한국항공대학교 항공우주 및 기계공학부) ;
  • 이봉희 (충북대학교 기계공학과) ;
  • 최주호 (한국항공대학교 항공우주 및 기계공학부) ;
  • 주진원 (충북대학교 기계공학과)
  • Received : 2010.04.07
  • Accepted : 2010.07.16
  • Published : 2010.10.01
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Abstract

The objective of this study is to determine the best material model that represents the deformation behavior of the Sn37Pb solder alloy accurately. First, a specimen is fabricated and subjected to a thermal cycle with temperatures ranging from the room temperature to $125^{\circ}C$. An experiment is conducted to examine deformation by Moire interferometry. Three different constitutive equation models are used in the finite element analysis (FEA) of the thermal cycle. In order to minimize the difference between the FEA results and the experimental results, the material parameters of the solder alloy are considered to be unknown and are determined by conducting optimization. As a result of the study, the Anand model is found to represent the deformation behavior of the solder most accurately.

본 논문에서는 솔더 재료 중에서 가장 많이 사용되어 온 Sn37Pb 솔더에 대한 변형거동을 가장 정확히 나타낼 수 있는 재료 모델을 결정하기 위한 방법을 연구하였다. 이를 위해 실제 전자패키지와 유사한 변형 거동을 보이는 시편을 제작하였고 상온에서 $125^{\circ}C$ 까지의 열 사이클 하에서 모아레 간섭계를이용하여 변형을 측정하는 실험을 수행하였다. Sn37Pb 솔더에 대해 세 가지 서로 다른 구성방정식을 적용하여 시편에 대한 유한요소해석을 수행하였다. 실험 결과 나타난 시편의 굽힘 변형과 해석 결과나타난 굽힘 변형을 비교하였고, 세 가지 재료모델의 계수를 미지수로 놓고 최적설계 기법을 적용하여 유한요소 해석과 실험 결과가 최대한 일치하는 계수 값을 결정하였다. 이를 통해 Anand 에 의해 제안된 구성방정식이 솔더의 거동을 가장 잘 표현한다고 결론을 낼 수 있었다.

Keywords

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