Journal of the Korea institute for structural maintenance and inspection (한국구조물진단유지관리공학회 논문집)

Korea Institute for Structural Maintenance Inspection (한국구조물진단유지관리공학회)
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Evaluation and Modification of Tensile Properties of Carbon Fiber Reinforced Polymer(CFRP) as Brittle Material with Probability Distribution

확률분포를 이용한 취성재료 특성의 탄소섬유보강폴리머 인장물성평가 및 보정

  • 김윤곤 (대구대학교 건축공학과)
  • Received : 2018.09.03
  • Accepted : 2019.03.26
  • Published : 2019.05.01
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Abstract

Carbon Fiber Reinforced Polymers(CFRP) has widely utilized as a material for rehabilitation because of its light-weight, deformability and workability. Because CFRP is brittle material whereas steel is ductile, it is inappropriate to apply conventional design approach for steel reinforcement. For ductile material, the behavior of combined elements is on average of that of unit element due to the stress redistribution between elements after yielding. Therefore, the mean value of the stress of combined elements is equal to that of unit element and the standard variation is smaller. Therefore, although the design value can increase, it is used as constant value because it is conservative and practical approach. However, for brittle material, the behavior of combined elements is governed by the weaker element because no stress redistribution is expected. Therefore, both the mean value and standard variation of the stress of combined elements decreases. For this reason, the design value would decrease as the number of element increases although it is eventually converged. In this paper, in brittle material, it is verified that the combination of unit element with normal distribution results in combined element with weibull distribution, so the modifying equation of mechanical properties is proposed with respect to the area load applied.

탄소섬유보강폴리머(CFRP)는 경량이며, 성형성 및 작업성이 뛰어나 보수보강재료로서 널리 사용되고 있다. 하지만, 연성재료인 철근과는 달리 CFRP는 취성재료이므로, 철근에서 사용되는 전통적인 설계접근 방법을 적용하는 것은 부적합하다. 연성재료인 철근은 항복이후 요소사이의 응력재분배가 이뤄져 복합요소의 거동은 평균화된다. 따라서 복합요소의 응력 평균은 단위요소의 평균과 같고, 표준편차는 더 작아진다. 따라서 연성재료의 설계값은 증가시킬 수 있으나, 안전측, 실무적 접근에서 고정값을 사용한다. 반면 취성재료의 경우, 응력재분배를 기대하기 어려워 복합요소의 거동은 더 약한 요소에 의해 결정된다. 이에 복합요소의 응력의 평균값과 표준편차는 감소한다. 따라서 취성재료의 설계값은 요소수가 증가할수록 감소한다. 이 논문에서는 취성재료에서 정규분포를 가지는 단위요소가 요소 결합에 따라 와이블 분포를 가지게 됨을 증명하고, 이를 반영하여 하중이 작용하는 면적에 따른 물성치의 보정식을 제안하였다.

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References

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