Examining Energy Dissipation of Deployable Aerospace Composites Using Matrix Viscoelasticity
Publication: Journal of Aerospace Engineering
Volume 30, Issue 5
Abstract
The ability to fold and deploy lightweight composites without damage makes them attractive for aerospace applications. However, one of the challenges faced with deployable composites is their high stiffness, which results in a relatively high deployment rate. It has been hypothesized that by exploiting the time-dependent viscoelastic response of composites, the deployment process could be controlled. To investigate this hypothesis, the effect of matrix viscoelasticity on energy dissipation of a three-layer carbon fiber–reinforced polymer (CFRP) composite laminate, known as a composite tape spring, was examined during the stowage state. A time-dependent implicit finite-element model was generated and implemented to simulate the viscoelastic behavior of the orthotropic laminated CFRP composite tape spring. The implemented material model was verified against data from the literature, validated experimentally, and then used to investigate the significance of matrix stress relaxation on energy dissipation of the three-layer CFRP composite tape spring used in aerospace applications.
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Acknowledgments
This research has been funded by the Air Force Office of Scientific Research (AFOSR) Award #FA9550-14-1-0021 to the University of New Mexico. The authors greatly acknowledge this support. Funding to the second author by the New Mexico Space Grant Fellowship is also appreciated. Special thanks shall go to the Air Force Research Lab research team in Albuquerque, New Mexico led by Dr. Jeremy Banik for sharing materials with the research team. A special thank you is also given to Dr. Thomas Murphey for his fruitful discussions at the early stage of this project.
References
ABAQUS [Computer software]. Dassault Systèmes, Waltham, MA.
Autodesk [Computer software]. Autodesk, Inc., San Rafael, CA.
Brinson, H. F., and Brinson, L. C. (2008). Polymer engineering science and viscoelasticity, Springer, Berlin.
Chamis, C. C., and Sendeckyj, G. P. (1968). “Critique on theories predicting thermoelastic properties of fibrous composites.” J. Compos. Mater., 2(3), 332–358.
Christensen, R. M. (1991). “A critical evaluation for a class of micro-mechanics models.” Inelastic Deformation of Composite Materials, Springer, New York, 275–282.
Dutta, P. K., and Hui, D. (2000). “Creep rupture of a GFRP composite at elevated temperatures.” Comput. Struct., 76(1), 153–161.
Estvanko, B., Maji, A., and Ng, P. (2012). “Numerical analysis of a tape spring hinge folded about two axes.” Proc., Earth and Space Engineering, Science, Construction, and Operations in Challenging Environments, ASCE, Reston, VA, 714–721.
Goertzen, W. K., and Kessler, M. R. (2006). “Creep behavior of carbon fiber/epoxy matrix composite.” Mater. Sci. Eng. A, 421(1), 217–225.
Greco, A., Musardo, C., and Maffezzoli, A. (2007). “Flexural creep behavior of PP matrix woven composite.” Compos. Sci. Technol., 67(6), 1148–1158.
Gupta, A., and Raghavan, J. (2010). “Creep of plain weave polymer matrix composites under on-axis and off-axis loading.” Compos. Part A Appl. Sci. Manuf., 41(9), 1289–1300.
Haj-Ali, R. M., and Muliana, A. H. (2008). “A micro-to-meso sublaminate model for the viscoelastic analysis of thick-section multi-layered FRP composite structures.” Mech. Time-Depend. Mater., 12(1), 69–93.
Hyer, W. M. (1997). Stress analysis of fiber reinforces composite materials, McGraw-Hill, New York.
Jones, R. M. (1998). Mechanics of composite materials, CRC, Boca Raton, FL.
Keil, T. J., and Banik, A. (2011). “Stowage and deployment strength of a rollable composite shell reflector.” Proc., 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf., 19th AIAA/ASME/AHS Adaptive Structures Conf., 13th American Institute of Aeronautics and Astronautics, AIAA, Reston, VA.
Kennedy, T., and Wang, M. (1994). “Three-dimensional, nonlinear viscoelastic analysis of laminated composites.” J. Compos. Mater., 28(10), 902–925.
Kim, Y. K., and White, S. R. (1996). “Stress relaxation behavior of 3501-6 epoxy resin during cure.” Polym. Eng. Sci., 36(23), 2852–2862.
Korontzis, D. T. H., Vellios, L., and Kostopoulos, V. (2000). “On the viscoelastic response of composite laminates.” Mech. Time-Depend. Mater., 4(4), 381–405.
Kumar, S., and Talreja, R. (2001). “Linear viscoelastic behavior of matrix cracked cross-ply laminates.” Mech. Mater., 33(3), 139–154.
Kwok, K., and Pellegrino, S. (2012). “Micromechanical modeling of deployment and shape recovery of thin-walled viscoelastic composite space structures.” Proc., 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf., 20th AIAA/ASME/AHS Adaptive Structures Conf., 14th American Institute of Aeronautics and Astronautics, AIAA, Reston, VA.
Kwok, K., and Pellegrino, S. (2013). “Folding, stowage, and deployment of viscoelastic tape springs.” AIAA J., 51(8), 1908–1918.
Kwok, K., and Pellegrino, S. (2017). “Micromechanics models for viscoelastic plain-weave composite tape springs.” AIAA J, 55(1), 309–321.
Lee, J.-W., Allen, D. H., and Harris, C. E. (1989). “Internal state variable approach for predicting stiffness reduction is fibrous laminates composites with matrix cracks.” J. Compos. Mater., 23(12), 1273–1291.
Lin, K. Y., and Hwang, I. H. (1989). “Thermo-viscoelastic analysis of composite materials.” J. Compos. Mater., 23(6), 554–569.
Lou, Y. C., and Schapery, R. A. (1971). “Viscoelastic characterization of a nonlinear fiber-reinforced plastic.” J. Compos. Mater., 5(2), 208–234.
Lyle, K. H., and Horta, L. G. (2012). “Deployment analysis of a simple tape-spring hinge using probabilistic method.” Proc., 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf., 20th AIAA/ASME/AHS Adaptive Structures Conf., 14th American Institute of Aeronautics and Astronautics, AIAA, Reston, VA.
Murphey, T. W. (2009). “Large strain composite materials in deployable space structures.” Proc., 17th Int. Conf. on Composite Materials, Vol. 28, British Composites Society, Edinburgh, U.K.
Nallainathan, L., Liu, X. L., Chiu, W. K., and Jones, R. (2003). “Modelling orthotropic viscoelastic behaviour of composite laminates using a coincident element method.” Polym. Polym. Compos., 11(8), 669–677.
Nallainathan, L., Liu, X. L., Chiu, W. K., and Jones, R. (2004). “Modelling creep behavior of orthotropic composites by the coincident element method.” Compos. Struct., 66(1), 409–413.
Peterson, M. E., and Murphey, T. W. (2013). “Large deformation bending of thin composite tape spring laminates.” Proc., 54th American Institute of Aeronautics and Astronautics (AIAA) Conf., Boston.
Pollard, E. L., and Murphey, T. W. (2006). “Development of deployable elastic composite shape memory alloy reinforced (DECSMAR) structures.” Proc., 47th American Institute of Aeronautics and Astronautics (AIAA) Conf., Newport, RI.
Schaffer, B. G., and Adams, D. F. (1981). “Nonlinear viscoelastic analysis of a unidirectional composite material.” J. Appl. Mech., 48(4), 859–865.
Schapery, R. A. (1969). “On the characterization of nonlinear viscoelastic materials.” Polym. Eng. Sci., 9(4), 295–310.
Shrotriya, P., and Sottos, N. R. (2005). “Viscoelastic response of woven composite substrates.” Comp. Sci. Technol., 65(3), 621–634.
Soykasap, Ö. (2007). “Analysis of tape spring hinges.” Int. J Mech. Sci., 49(7), 853–860.
Soykasap, Ö. (2011). “Analysis of plain-weave composites.” Mech. Compos. Mater., 47(2), 161–176.
Struik, L. C. E. (1977). “Physical aging in amorphous polymers and other materials.” Polym. Eng. Sci., 17(3), 165–173.
Tuttle, M. E., and Brinson, H. F. (1986). “Prediction of the long-term creep compliance of general composite laminates.” Exp. Mech., 26(1), 89–102.
Viet, H. N., Pastor, J., and Muller, D. (1995). “A method for predicting linear viscoelastic mechanical behavior of composites, a comparison with other methods and experimental validation.” Eur. J. Mech., A/Solids, 14(6), 939–960.
Yancey, R. N., and Pindera, M. J. (1990). “Micromechanical analysis of the creep response of unidirectional composites.” J. Eng. Mater. Technol., 112(2), 157–163.
Zocher, M., Groves, S. E., and Allen, D. H. (1997). “A three-dimensional finite element formulation for thermoviscoelastic orthotropic media.” Int. J. Numer. Meth. Eng., 40(12), 2267–2288.
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Published In
Journal of Aerospace Engineering
Volume 30 • Issue 5 • September 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Jun 16, 2016
Accepted: Jan 24, 2017
Published online: May 26, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 26, 2017
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