Spatial Tailoring of a Metal-Ceramic Composite Panel Subjected to High-Speed Flow
Publication: Journal of Aerospace Engineering
Volume 34, Issue 1
Abstract
In this paper, an optimization-based computational framework for the spatial tailoring of a metal-ceramic composite panel subjected to high-speed flow is discussed. The framework includes the modeling, evaluation, and optimization of the spatial material grading and thermostructural response of the metal-ceramic composites over a wide range of temperatures. The framework relies on micromechanics and a finite-element analysis (FEA) of representative volume elements (RVEs) to obtain the overall elastic, thermoelastic, and thermal properties of the graded microstructure as functions of temperature and spatial position. The effective thermostructural response of the airframe is analyzed using the FEA. The time-dependent thermal and structural loads are representative of a characteristic high-speed trajectory. Optimal multivariable material distribution is determined numerically using a constrained sequential quadratic programming (SQP) method of surrogate models to evaluate the response at multiple design locations efficiently. Three example cases are presented to showcase the developed framework. In all three example cases, optimal material variation and panel thickness are found such that they reduce the section mass when compared to a benchmark titanium (Ti-6Al-4V) structural skin and Acusill II thermal protection system (TPS) solution. Furthermore, these studies demonstrate that the use of metal-ceramic spatially tailored materials makes excellent material choices for operation in the high-speed environment.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request, which includes MATLAB and Python codes.
Acknowledgments
P. Deierling would like to acknowledge the US Air Force Scholars Program and the Department of Defense High Performance Computing Internship Program (HIP) for supporting this work. Lastly, P. Deierling would like to thank the University of Florida Research and Engineering Education Facility (REEF) for providing facilities.
References
Anthoine, A. 2010. “Second-order homogenisation of functionally graded materials.” Int. J. Solids Struct. 47 (11–12): 1477–1489. https://doi.org/10.1016/j.ijsolstr.2010.02.004.
Birman, V., and L. W. Byrd. 2007. “Modeling and analysis of functionally graded materials and structures.” Appl. Mech. Rev. 60 (5): 195–216. https://doi.org/10.1115/1.2777164.
Birman, V., R. Chona, L. W. Byrd, and M. A. Haney. 2008. “Response of spatially tailored structures to thermal loading.” J. Eng. Math. 61 (2): 201–217. https://doi.org/10.1007/s10665-007-9151-9.
Chen, G., P. C. Zhai, and Q. J. Zhang. 2003. “Optimization of material composition of FGM coating under thermal loading by micro genetic algorithms.” In Vol. 423 of Materials science forum, 713–718. Baech, Switzerland: Trans Tech Publication.
Cho, J., and D. Ha. 2002. “Volume fraction optimization for minimizing thermal stress in Ni– functionally graded materials.” Mater. Sci. Eng., A 334 (1): 147–155. https://doi.org/10.1016/S0921-5093(01)01791-9.
Cubberly, W. 1979. “Properties and selection: Nonferrous alloys and pure metals.” In Vol. 2 of Metals handbook, 115–117. Metals Park, OH: American Society for Metals.
Deierling, P., O. I. Zhupanska, and C. Pasiliao. 2015a. “Effects of variable phase volume fractions on the effective thermal-mechanical properties of metal-ceramic composites with graded microstructures.” In Proc., ASME Int. Mechanical Engineering Congress and Exposition. New York: ASME.
Deierling, P., O. I. Zhupanska, and C. Pasiliao. 2019. “Thermostructural response of a spatially graded metal-ceramic composite panel subjected to high-speed flight loads.” J. Aerosp. Eng. 32 (3): 04019010. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000990.
Deierling, P. E. 2016. “Thermomechanical response of metal-ceramic graded composites for high-temperature aerospace applications.” Ph.D. thesis, Dept. of Mechanical and Industrial Engineering, Univ. of Iowa.
Deierling, P. E., and O. I. Zhupanska. 2018. “Computational modeling of the effective properties of spatially graded composites.” Int. J. Mech. Sci. 145: 145–157. https://doi.org/10.1016/j.ijmecsci.2018.06.029.
Deierling, P. E., O. I. Zhupanska, and C. L. Pasiliao. 2015b. “Thermo-mechanical behavior of spatially tailored functionally graded materials in a high temperature environment.” In Proc., American Society of Composites-30th Technical Conf.
Deierling, P. E., O. I. Zhupanska, and C. L. Pasiliao. 2017. “Investigation of the effects of porosity on the overall thermomechanical properties of graded metal-ceramic composites.” In Proc., 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf.
Exelis. 2015. “Acusil II thermal protection system.” Accessed May 20, 2015. http://www.exelisinc.com/solutions/Acusil.
Galakhov, A., I. Vyazov, V. Y. Shevchenko, and A. Ezhov. 1990. “On the effect of porous structure of formation from submicron powders on the strength of ceramics from zirconium dioxide.” Izvestiya Akademii Nauk SSSR, Neorganicheskie Materialy 26 (4): 828–833.
Goupee, A. J., and S. S. Vel. 2007. “Multi-objective optimization of functionally graded materials with temperature-dependent material properties.” Mater. Des. 28 (6): 1861–1879. https://doi.org/10.1016/j.matdes.2006.04.013.
Hashin, Z., and S. Shtrikman. 1963. “A variational approach to the theory of the elastic behaviour of multiphase materials.” J. Mech. Phys. Solids 11 (2): 127–140. https://doi.org/10.1016/0022-5096(63)90060-7.
Helton, J. C., and F. J. Davis. 2003. “Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems.” Reliab. Eng. Syst. Saf. 81 (1): 23–69. https://doi.org/10.1016/S0951-8320(03)00058-9.
Hill, R. 1965. “A self-consistent mechanics of composite materials.” J. Mech. Phys. Solids 13 (4): 213–222. https://doi.org/10.1016/0022-5096(65)90010-4.
Hudson, D. J., M. Torres, C. Dougherty, N. Rajendran, and R. A. Thompson. 2003. “Prediction methodologies for target scene generation in the aerothermal targets analysis program (ATAP).” Proc. SPIE 5092: 295–306.
Koizumi, M. 1997. “FGM activities in japan.” Composites, Part B 28 (1–2): 1–4. https://doi.org/10.1016/S1359-8368(96)00016-9.
Koziel, S., and L. Leifsson. 2013. “Surrogate-based modeling and optimization.” In Applications in engineering. New York: Springer.
Lukin, E., M. Sukhikh, and V. Moiseenko. 1986. “Dense and strong zirconium dioxide-based ceramic.” Glass Ceram. 43 (12): 541–542. https://doi.org/10.1007/BF00701405.
Mori, T., and K. Tanaka. 1973. “Average stress in matrix and average elastic energy of materials with misfitting inclusions.” Acta Metall. 21 (5): 571–574. https://doi.org/10.1016/0001-6160(73)90064-3.
Nemat-Alla, M. 2009. “Reduction of thermal stresses by composition optimization of two-dimensional functionally graded materials.” Acta Mech. 208 (3): 147–161. https://doi.org/10.1007/s00707-008-0136-1.
Nemat-Alla, M., K. I. Ahmed, and I. Hassab-Allah. 2009. “Elastic–plastic analysis of two-dimensional functionally graded materials under thermal loading.” Int. J. Solids Struct. 46 (14): 2774–2786. https://doi.org/10.1016/j.ijsolstr.2009.03.008.
Nielsen, H. B., S. N. Lophaven, and J. Sndergaard. 2009. DACE: A Matlab kriging toolbox. Lyngby, Denmark: Technical Univ. of Denmark.
NOAA, NASA, and USAF (National Oceanic and Atmospheric Administration, National Aeronautics and Space Administration, and United States Air Force). 1976. U.S. standard atmosphere, 1976. Washington, DC: NASA.
Pilner, S. Y., Y. I. Komolikov, V. Peychev, and I. Lappo. 1988. “Effect of hydrostatic treatment on the properties of the ceramics based on tetragonal zirconium dioxide.” Refractories 29 (3–4): 205–207.
Schapery, R. A. 1968. “Thermal expansion coefficients of composite materials based on energy principles.” J. Compos. Mater. 2 (3): 380–404. https://doi.org/10.1177/002199836800200308.
Simpson, T. W., T. M. Mauery, J. J. Korte, and F. Mistree. 2001. “Kriging models for global approximation in simulation-based multidisciplinary design optimization.” AIAA J. 39 (12): 2233–2241. https://doi.org/10.2514/2.1234.
Stevens, R. 1991. “Engineering properties of zirconia.” In Vol. 4 of Engineered materials handbook, 775–786. Cleveland: ASM International.
Van Wie, D., D. Drewry, D. King, and C. Hudson. 2004. “The hypersonic environment: Required operating conditions and design challenges.” J. Mater. Sci. 39 (19): 5915–5924. https://doi.org/10.1023/B:JMSC.0000041688.68135.8b.
Witeof, Z., and L. Neergaard. 2014. Initial concept 3.0 finite element model definition. Eglin Air Force Base, FL: Air Force Research Laboratory.
Witeof, Z. D., and C. L. Pasiliao. 2015. “Fluid-thermal-structural interaction effects in preliminary design of high speed vehicles.” In Proc., 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf., 1631. Reston, VA: American Institute of Aeronautics and Astronautics.
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Published In
Journal of Aerospace Engineering
Volume 34 • Issue 1 • January 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Sep 23, 2019
Accepted: Aug 5, 2020
Published online: Sep 27, 2020
Published in print: Jan 1, 2021
Discussion open until: Feb 27, 2021
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