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Application of the Inverse Heat Conduction Analysis to the Evaluation of Defects in Carbonfiber-Reinforced Plastics

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Mechanics of Composite Materials Aims and scope

With increasing use of carbon-fiber-reinforced plastics (CFRPs) as structural materials, usable methods of nondestructive testing (NDT) are necessary for their fabrication. Recently, the infrared thermography has attracted attention as a powerful tool for NDT of CFRPs. In this study, inverse heat conduction analyses are performed to evaluate the width and depth of defects in 0/90 CFRP laminates with polyacrylonitrile (PAN)-and pitch-based carbon fibers. The thermophysical properties of the CFRP laminates are calculated on the basis of the rule of mixtures. Heat conduction analyses are then carried out. The simulation imitates NDT with infrared thermography, in which the back surface of the CFRP specimen with flat-bottom holes is heated, while temperature distributions are obtained on the front surface by using an infrared camera. Heat conduction analyses showed that the temperature distributions on the front surfaces were significantly affected by defects in the CFRP laminate with PAN-based carbon fibers, whereas that of the CFRP laminate with pitch-based carbon ones did not show clear differences in temperature.

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References

  1. S. S. Pendhari, T. Kant, and Y. M. Desai, “Application of polymer composites in civil construction: A general review,” Compos. Struct., 84, No. 2, 114-124 (2008).

    Article  Google Scholar 

  2. A. P. Mouritz, M. K. Bannister, P. J. Falzon, and K. H. Leong, “Review of applications for advanced three-dimensional fibre textile composites,” Composites Part A, 30, No. 12, 1445-1461 (1999).

    Article  Google Scholar 

  3. O. Ceysson, M. Salvia, and L. Vincent, “Damage mechanisms characterisation of carbon fibre/epoxy composite laminates by both electrical resistance measurements and acoustic emission analysis,” Sci. Mater., 34, No. 8, 1273-1280 (1996).

    Google Scholar 

  4. M. Nishikawa, T. Okabe, and N. Takeda, “Numerical simulation of interlaminar damage propagation in CFRP cross-ply laminates under transverse loading,” Int. J. Solids Struct., 44, No. 10, 3101-3113 (2007).

    Article  Google Scholar 

  5. A. Yoshimura and T. Okabe, “Damage growth analysis in particle-reinforced composite using cohesive element,” Adv. Compos. Mater., 20, No. 6, 265-275 (2011).

    Article  Google Scholar 

  6. S. Yashiro, T. Okabe, and K. Matsushima, “A numerical approach for injection molding of short-fiber-reinforced plastics using a particle method,” Adv. Compos. Mater., 20, No. 6, 503-517 (2011).

    Article  Google Scholar 

  7. T. Yokozeki, “A simplified predictive method of viscosity of nanofiber-dispersed polymer suspensions,” Adv. Compos. Mater., 20, No. 6, 537-546 (2011).

    Article  Google Scholar 

  8. M. A. Mousa and M. Uddin, “Flexural behavior of full-scale composite structural insulated floor panels,” Adv. Compos. Mater., 20, No. 6, 547-567 (2011).

    Article  Google Scholar 

  9. V. Kalkis, M. Kalnins, and Ya. Zitsans, “Application of the ultrasonic method for the control of thermosetting polymer materials,” Mech. Compos. Mater., 33, No. 3, 282-292 (1997).

    Article  Google Scholar 

  10. A. A. Karabutov, I. M. Pelivanov, and N. B. Podymova, “Nondestructive evaluation of graphite-epoxy composites by the laser ultrasonic method,” Mech. Compos. Mater., 36, No. 6, 497-500 (2000).

    Article  Google Scholar 

  11. A. A. Karabutov Jr., A. A. Karabutov, and O. A. Sapozhnikov, “Determination of the elastic properties of layered materials using laser excitation of ultrasound,” Phys. Wave Phenom., 18, No. 4, 297-302 (2010).

    Article  Google Scholar 

  12. G. Busse, D. Wu, and W. Karpen, “Thermal wave imaging with phase sensitive modulated thermography,” J. Appl. Phys., 71, No. 8, 3962-3965 (1992).

    Article  Google Scholar 

  13. X. P. V. Maldaque, Theory and Practice of Infrared Technology for Nondestructive Testing. John Wiley & Sons, N. Y, 2001, pp. 250-251.

    Google Scholar 

  14. T. Sakagami and S. Kubo, “Applications of pulse heating thermography and lock-in thermography to quantitative nondestructive evaluations,” Infrared Phys. Technol., 43, No. 3-5, 211-218 (2002).

    Article  Google Scholar 

  15. T. Sakagami and S. Kubo, “Development of a new non-destructive testing technique for quantitative evaluations of delamination defects in concrete structures based on phase delay measurement using lock-in thermography,” Infrared Phys. Technol., 43, No. 3-5, 311-316 (2002).

    Article  Google Scholar 

  16. T. Yoshida, T. Uenoya, and H. Miyamoto, “Impact damage characterization in cross-plied carbon fiber/thermoplastic composites using thermoelastic stress analysis,” Proc. SPIE 2012, 8347, 83470P1-83470P8 (2012).

  17. L. Krstulovic-Opara, B. Klarin, P. Neves, and Z. Domazet, “Thermal imaging and thermoelastic stress analysis of impact damage of composite materials,” Eng. Fail. Anal., 18, No. 2, 713-719 (2011).

    Article  Google Scholar 

  18. T. Sakagami, S. Kubo, Y. Hyodo, T. Ogasawara, T. Nishimura, D. Imanishi, and M. Schmitt, “Quantitative nondestructive evaluation of delamination damage in CFRP pressure vessels for space use,” Proc. SPIE 2006, 62501, 62051AP1-6205AP10 (2006).

  19. A. Darabi and X. Maldague, “Neural network based defect detection and depth estimation in TNDE,” NDT and E Int., 35, No. 3, 165-175 (2002).

    Article  Google Scholar 

  20. G. Wróbel, Z. Rdzawski, G. Muzia, and S. Pawlak, “Quantitative analysis of the fibre content distribution in CFRP composites using thermal non-destructive testing,” Arch. Mater. Sci. Eng., 41, No 1, 28-36 (2010).

    Google Scholar 

  21. R. C. Aster, B. Borchers, and C. H. Thurber, Parameter Estimation and Inverse Problems. Oxford, Elsevier, 2013, pp. 217-251.

    Book  Google Scholar 

  22. C.-H. Huang and S.-C. Chin, “A two-dimensional inverse problem in imaging the thermal conductivity of a nonhomogeneous medium,” Int. J. Heat Mass Transfer, 43, No. 22, 4061-4071 (2000).

    Article  Google Scholar 

  23. F. L. Rodríguez and V. de Paulo Nicolau. “Inverse heat transfer approach for IR image reconstruction: Application to thermal non-destructive evaluation,” Appl. Therm. Eng., 33-34, 109-118 (2012).

    Article  Google Scholar 

  24. M. Muramatsu, Y. Harada, T. Suzuki, and H. Niino, “Evaluation of defect in CFRP using infrared thermography and its heat conduction simulation,” Proc. LPCC2013, LPCC5-5, 1-6 (2013).

  25. S. Ogihara, M. Yamaguchi, T. Chiba, J. Shimizu, Y. Okabe, and N. Takeda, “Experimental evaluation of heat radiator using a high thermal conductivity CFRP,” Proc. Conf. JSCM 2007 [In Japanese], 43-44

  26. H. Murayama, “Properties and applications of pitch based carbon fiber and its composites,” The Review of Laser Engineering 2011, 39, No. 9, 694-700 (2011).

    Google Scholar 

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Correspondence to M. Muramatsu.

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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 50, No. 6, pp. 973-986 , November-December, 2014.

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Muramatsu, M., Nakasumi, S., Harada, Y. et al. Application of the Inverse Heat Conduction Analysis to the Evaluation of Defects in Carbonfiber-Reinforced Plastics. Mech Compos Mater 50, 695–704 (2015). https://doi.org/10.1007/s11029-015-9458-y

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