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Prediction of Effective Properties of Laminated Plain Weave Textile Composites

적층각을 가지는 평직복합재료 적층판의 등가물성치 예측


Abstract

In this study, the effective properties were numerically calculated for laminated plain weave textile composites with arbitrary s tacking orientation angles. A single-field macroelement with modified sub-domain integration was used in the analysis to reduce computer resource requirement while efficiently accounting for the internal microstructure. A sample calculation procedure based on the Monte Carlo method was employed to consider the random shift between the layers. Results showed that a significant deviation occurred when the orientation angles were near 0 deg for extensional modulus and Poisson's ratio and 45 deg for the shear modulus. It was also found that the average properties calculated by the 2-layer numerical specimen had large differences compared to the CLT results, which indicated that a caution must be needed when designig of thin plain weave composite structures.

본 논문에서는 임의의 방향각을 가지고 적층된 평직 복합재료에 대하여 미세구조를 모델링하고 수치실험을 통하여 등가물성치를 계산하였다. 층간 상호이동에 의한 평직복합재료의 섬유다발의 배열의 경우의 수는 무한대에 이르므로 여기서는 몬테 카를로법을 이용하여 지정된 경우의 수에 대하여 모델링과 해석을 수행하는 전략을 채택하였다. 또한 평직복합재료의 미세구조를 효과적으로 고려하고 모델링 및 계산시간을 절감하기 위하여 수정된 분할영역 적분에 의한 단일변위장 마크로요소를 사용하였다. 계산결과, 평직복합재료 적층판의 등가물성치는 적층간에 따라서 편차가 크게 나타날 수 있음을 확인하였다. 또한 고전적층판 이론으로 계산한 값과 비교하였을 때 $0^{\circ}$, $45^{\circ}$ 이외의 적층각에서 값의 차이가 크게 났는데, 이로부터 평직복합재료 구조물의 경우 고전적층판이론으로 계산한 등가물성치를 사용할 때 주의가 필요함을 알 수 있었다.

Keywords

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