DOI QR코드

DOI QR Code

Thermal Deformation Analysis of L-shaped Composite During Cure Process by Viscoelastic Model

점탄성을 고려한 L-형상 복합재료 성형시 열변형 해석

  • Seong, Dong-Yun (Aircraft Structural Design Lab, Department of Aerospace Engineering, Pusan National University) ;
  • Kim, Wie-Dae (Department of Aerospace Engineering, Pusan National University)
  • Received : 2020.06.11
  • Accepted : 2020.08.19
  • Published : 2020.08.31

Abstract

When curing the composite, the fibers have little thermal deformation, but the resin changes its properties with time and temperature, which leads to residual stress in the product. Residual stress is caused by the difference in the coefficient of thermal expansion of the fibers and resin during the curing process and the chemical shrinkage of the resin. This difference causes thermal deformation such as spring-in and warpage. Thermal deformation of composite structure is important issue on quality of product, and it should be considered in manufacturing process. In this study, a subroutine was developed to predict thermal deformation by applying 3-D viscoelastic model. The finite element analysis was verified by comparing the results of the plate analysis of the 2-D viscoelastic model. Spring-in of L-shaped structure was predicted and analyzed by applying the 3-D viscoelastic model.

탄소 섬유 강화 복합재료 성형 시 섬유는 열변형이 거의 없는 반면에 수지는 시간 및 온도변화에 따라 물성이 변화하며 제품에 잔류응력이 발생한다. 잔류응력의 원인은 경화 과정에서의 섬유와 수지의 열팽창 계수 차이, 수지의 화학 수축이며 이로 인해 스프링 인, 뒤틀림 등의 열 변형이 발생한다. 열 변형은 제품의 품질을 결정하는 주요한 요인으로 복합재료 공정에 있어 반드시 고려되어야 한다. 본 연구는 잔류응력에 의한 열 변형을 예측하기 위해 3-D 점탄성 모델을 적용하여 서브루틴을 제작하고 기존의 2-D 점탄성 모델의 평판 유한 요소 해석결과와 비교해 유한 요소 해석 기법을 검증하였다. 검증된 기법으로 L-형상 구조를 해석하여 스프링 인 현상을 예측, 분석하였다.

Keywords

References

  1. White, S.R., and Kim, Y.K., "Process-Induced Residual Stress Analysis of AS4/3501-6 Composite Material," Mechanics of Composite Materials and Structures, Vol. 5, No. 2, 1998, pp. 153-186. https://doi.org/10.1080/10759419808945897
  2. Kim, Y.K., and White, S.R., "Stress Relaxation behavior of 3501-6 Epoxy Resin During Cure", Polymer Engineering & Science, Vol. 36, No. 23, 1996, pp. 2852-2862. https://doi.org/10.1002/pen.10686
  3. Kim, Y.K., and White, S.R., "Process-induced Stress Relaxation Analysis of AS4/3501-6 Laminate," Journal of Reinforced Plastics and Composites, Vol. 16, No. 1, 1997, pp. 2-16. https://doi.org/10.1177/073168449701600102
  4. White, S.R., and Hahn, H.T., "Process Modeling of Composite Materials: Residual Stress Development during Cure. Part II. Experimental Validation," Journal of Composite Materials, Vol. 26, No. 16, 1992, pp. 2423-2453. https://doi.org/10.1177/002199839202601605
  5. Jung, S.R., Kim, W.D., and Jim, J.H., "Analysis of Thermal Deformation of Carbon-fiber Reinforced Polymer Matrix Composite Considering Viscoelasticity," Journal of the Korean Society for Composite Materials, Vol. 27, No. 4, 2014, pp. 174-181.
  6. Kim, Y.S., and Kim, W.D., "Prediction of Spring-in Deformation of carbon Fiber Reinforced Composite by Thermal Residual Stress", Composites Research, Vol. 30, No. 6, 2017, pp. 410-415. https://doi.org/10.7234/COMPOSRES.2017.30.6.410
  7. Choi, E.S., and Kim, W.D., "Thermal Deformation of Carbon Fiber Reinforced Composite by Cure Shrinkage," Composites Research, Vol. 31, No. 6, 2018, pp. 404-411.
  8. Oh, J.M., and Kim, W.D., "Prediction of Spring-in of Curved Laminated Composite Structure," Journal of the Korean Society for Aeronautical & Space Sciences, Vol. 43, No. 1, 2015, pp. 1-7. https://doi.org/10.5139/JKSAS.2015.43.1.1
  9. Sung, S.H., and Kim, W.D., "Prediction of Deformation of Carbon-fiber Reinforced Polymer Matrix Composite for Tool Materials and Surface Conditions," Composites Research, Vol. 27, No. 6, 2014, pp. 231-235. https://doi.org/10.7234/composres.2014.27.6.231
  10. Zhang, G., Wang, J., Ni, A., Hu, H., Ding, A., and Li, S., "Process-induced Deformation of L-shaped Variable-stiffness Composite Structures during Cure", Composite Structures, Vol. 230, 2019, 111461. https://doi.org/10.1016/j.compstruct.2019.111461
  11. Hubert, P., Johnston, A., Poursartip, A., and Nelson, K., "Cure Kinetics and Viscosity Models for Hexcel 8552 Epoxy Resin," International SAMPE Symposium and Exhibition, SAMPE 1999, pp. 2341-2354.
  12. Lee, W.I., Loos, A.C., and Springer, G.S., "Heat of Reaction, Degree of Cure, and Viscosity of Hercules 3501-6 Resin," Journal of Composite Materials, Vol. 16, No. 6, 1982, pp. 510-520. https://doi.org/10.1177/002199838201600605
  13. Loos, A.C., and Springer, G.S., "Curing of epoxy matrix composites," Journal of Composite Materials, Vol. 17, No. 2, 1983, pp. 135-169. https://doi.org/10.1177/002199838301700204
  14. Bogetti, T.A., and Gillespie, J.W. Jr., "Process-induced Stress and Deformation in Thick-section Thermoset Composite Laminates," Journal of Composite Materials, Vol. 26, No. 5, 1992, pp. 626-660. https://doi.org/10.1177/002199839202600502
  15. Roozbehjavan, P., Tavakol, B., Ahmed, A., Koushyar, H., Das, R., Joven, R., and Minaie, B., "Experimental and Numerical Study of Distortion in Flat, L-shaped, and U-shaped Carbon Fiber-Epoxy Composite Parts," Journal of Applied Polymer Science, Vol. 131, No. 13, 2014.
  16. Piovan, M.T., and Cortinez, V.H., "Linear Viscoelastic Analysis of Straight and Curved Thin-walled Laminated Composite Beams," International Journal of Solids and Structures, Vol. 45, No. 11-12, 2008, pp. 3466-3493. https://doi.org/10.1016/j.ijsolstr.2008.02.009
  17. Hwang, H.Y., Kim, Y.K., Rim, C., Kwon, Y.D., and Choi, W., "Thermo-viscoelastic Residual Stress Analysis of Metal Liner-inserted Composite Cylinders," KSME International Journal, Vol. 17, No. 2, 2003, pp. 171-180. https://doi.org/10.1007/BF02984387