Journal of the Korean Society for Nondestructive Testing (비파괴검사학회지)

The Korean Society for Nondestructive Testing (한국비파괴검사학회)
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Characterization of Elastic Modulus of Kelvin Foam Using Elastic Structural Model and Ultrasound

초음파와 탄성 구조 모델을 이용한 캘빈 폼 재료의 탄성계수 평가

  • Kim, Woochan Ethan (School of Engineering, Massachusetts Institute of Technology) ;
  • Kim, Nohyu (School of Mechatronics Engineering, Korean University of Technology and Education)
  • Received : 2016.10.26
  • Accepted : 2016.12.06
  • Published : 2016.12.30
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Abstract

A Kelvin foam plate - widely used in the energy and transport industries as a lightweight structural material - was examined to estimate its Young's modulus using ultrasound. An isotropic tetrakaidecahedron foam structure was designed in SolidWorks and printed using 3D printer with an ABS plastic material. The 3D printed foam structure was used to build a foam plate with a 14 mm thickness ($50mm{\times}100mm$ in size) for the ultrasonic test. The Kelvin foam plate, a significantly porous medium, was completely filled with paraffin wax to enable the ultrasound to penetrate through the porous medium. The acoustic wave velocity of the wax-filled Kelvin foam was measured using the time of flight (TOF) method. Furthermore, the elastic modulus of the Kelvin foam was estimated based on an elastic structural model developed in this study. The Young's modulus of the produced Kelvin foam was observed to be approximately 3.4% of the bulk value of the constituent material (ABS plastic). This finding is consistent with experimental and theoretical results reported by previous studies.

가벼운 다공성 구조재로서 널리 사용되는 캘빈 폼(foam) 재료의 탄성특성을 초음파를 이용하여 조사하였다. 캘빈 폼의 구조는 tetrakaidecahedron의 단위 셀(unit cell)이 규칙적으로 3차원 배열된 구조를 갖고 있는데 본 연구에서는 SoildWorks 프로그램에서 캘빈 단위 셀을 설계하고 ABS 플라스틱 재료를 이용하여 3차원 프린터로 제작한 후 초음파시험을 수행하였다. 캘빈 구조체는 기공이 많은 재료이기 때문에 초음파가 투과할 수 없어서 빈 공간을 모두 파라핀 왁스로 충진하여 초음파가 투과할 수 있도록 하였다. 파라핀을 충진한 캘빈 구조체는 초음파의 비행시간(TOF)을 이용하여 초음파 속도를 계산한 후, 이 복합 구조체에 대한 탄성 구조 모델을 기반으로 캘빈 구조체만의 탄성계수를 계산하였다. 측정된 캘빈 구조체의 탄성계수 값은 모재(ABS 플라스틱) 탄성계수의 약 3.4%가 되는 것으로 나타났는데 이 평가 결과는 선행된 연구 결과들에서 나타난 실험값이나 이론 해석 결과와 잘 일치하는 것을 확인할 수 있었다.

Keywords

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