Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Design and homogenization of metal sandwich tubes with prismatic cores

  • Zhang, Kai (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University) ;
  • Deng, Zichen (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University) ;
  • Ouyang, Huajiang (School of Engineering, University of Liverpool) ;
  • Zhou, Jiaxi (College of Mechanical and Vehicle Engineering, Hunan University)
  • Received : 2011.09.09
  • Accepted : 2013.01.03
  • Published : 2013.02.25
⟨ Previous Next ⟩

Abstract

Hollow cylindrical tubes with a prismatic sandwich lining designed to replace the solid cross-sections are studied in this paper. The sections are divided by a number of revolving periodic unit cells and three topologies of unit cells (Square, Triangle and Kagome) are proposed. Some types of multiple-topology designed materials are also studied. The feasibility and accuracy of a homogenization method for obtaining the equivalent parameters are investigated. As the curved elements of a unit cell are represented by straight elements in the method and the ratios of the lengths of the curved elements to the lengths of the straight elements vary with the changing number of unit cells, some errors may be introduced. The frequencies of the first five modes and responses of the complete and equivalent models under an internal static pressure and an internal step pressure are compared for investigating the scope of applications of the method. The lower bounds and upper bounds of the number of Square, Triangular and Kagome cells in the sections are obtained. It is shown that treating the multiple-topology designed materials as a separate-layer structure is more accurate than treating the structure as a whole.

Keywords

References

  1. Cooper, M. (2004), Impulse generation by detonation tubes, California Institute of Technology.
  2. Evans, A.G., Hutchinson, J.W., Fleck, N.A., Ashby, M.F. and Wadley, H.N.G. (2001), "The topological design of multifunctional cellular metals", Progress in Materials Science, 46, 309-327. https://doi.org/10.1016/S0079-6425(00)00016-5
  3. Fleck, N.A., Deshpande, V.S. and Ashby, M.F. (2010), "Micro-architectured materials: past, present and future", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 466, 2495. https://doi.org/10.1098/rspa.2010.0215
  4. Gibson, L.J. and Ashby, M.F. (1997), Cellular Solids: Structure and Properties, 2nd Ed., Cambridge University Press, Cambridge, U.K.
  5. Gu, S., Lu, T. and Evans, A. (2001), "On the design of two-dimensional cellular metals for combined heat dissipation and structural load capacity", International Journal of Heat and Mass Transfer, 44, 2163- 2175. https://doi.org/10.1016/S0017-9310(00)00234-9
  6. Hohe, J. and Becker, W. (1999), "Effective elastic properties of triangular grid structures", Composite Structures, 45, 131-145. https://doi.org/10.1016/S0263-8223(99)00016-1
  7. Hohe, J. and Becker, W. (2001), "An energetic homogenisation procedure for the elastic properties of general cellular sandwich cores", Composites Part B: Engineering, 32, 185-197. https://doi.org/10.1016/S1359-8368(00)00055-X
  8. Hohe, J., Beschorner, C. and Becker, W. (1999), "Effective elastic properties of hexagonal and quadrilateral grid structures", Composite Structures, 46, 73-89. https://doi.org/10.1016/S0263-8223(99)00048-3
  9. Kumar, R. and McDowell, D. (2004), "Generalized continuum modeling of 2-D periodic cellular solids", International Journal of Solids and Structures, 41, 7399-7422. https://doi.org/10.1016/j.ijsolstr.2004.06.038
  10. Kumar, R. and McDowell, D. (2009), "Multifunctional design of two-dimensional cellular materials with tailored mesostructure", International Journal of Solids and Structures, 46, 2871-2885. https://doi.org/10.1016/j.ijsolstr.2009.03.014
  11. Liu, T., Deng, Z. and Lu, T. (2007a), "Bi-functional optimization of actively cooled, pressurized hollow sandwich cylinders with prismatic cores", Journal of the Mechanics and Physics of Solids, 55, 2565-2602. https://doi.org/10.1016/j.jmps.2007.04.007
  12. Liu, T., Deng, Z. and Lu, T. (2007b), "Minimum weights of pressurized hollow sandwich cylinders with ultralight cellular cores", International Journal of Solids and Structures, 44, 3231-3266. https://doi.org/10.1016/j.ijsolstr.2006.09.018
  13. Liu, T., Deng, Z. and Lu, T. (2007c), "Structural modeling of sandwich structures with lightweight cellular cores", Acta Mech Sinica-Prc, 23, 545-559. https://doi.org/10.1007/s10409-007-0096-z
  14. Lu, T., Valdevit, L. and Evans, A. (2005), "Active cooling by metallic sandwich structures with periodic cores", Progress in Materials Science, 50, 789-815. https://doi.org/10.1016/j.pmatsci.2005.03.001
  15. Ohno, N., Okumura, D. and Noguchi, H. (2002), "Microscopic symmetric bifurcation condition of cellular solids based on a homogenization theory of finite deformation", Journal of the Mechanics and Physics of Solids, 50, 1125-1153. https://doi.org/10.1016/S0022-5096(01)00106-5
  16. Seepersad, C., CAllen, J., McDowell, D. and Mistree, F. (2008), "Multifunctional topology-design of cellular material structures", J Mech Design, 130, 031404-031413. https://doi.org/10.1115/1.2829876
  17. Shepherd, J. (2005), Pulse detonation engines Initiation, propagation, and performance, California Institute of Technology, Pasadena, CA.
  18. Valdevit, L., Hutchinson, J.W. and Evans, A.G. (2004), "Structurally optimized sandwich panels with prismatic cores", International Journal of Solids and Structures, 41, 5105-5124. https://doi.org/10.1016/j.ijsolstr.2004.04.027
  19. Valdevit, L., Pantano, A., Stone, H. and Evans, A. (2006), "Optimal active cooling performance of metallic sandwich panels with prismatic cores", International Journal of Heat and Mass Transfer, 49, 3819-3830. https://doi.org/10.1016/j.ijheatmasstransfer.2006.03.042
  20. Valdevit, L., Vermaak, N., Zok, F. and Evans, A.G. (2008), "A materials selection protocol for lightweight actively cooled panels", Journal of Applied Mechanics, 75, 061022. https://doi.org/10.1115/1.2966270
  21. Zhou, J., Deng, Z., Liu, T. and Hou, X. (2009), "Elastic structural response of prismatic metal sandwich tubes to internal moving pressure loading", International Journal of Solids and Structures, 46, 2354-2371. https://doi.org/10.1016/j.ijsolstr.2009.01.017

Cited by

  1. Thermomechanical response of metallic sandwich tubes with prismatic cores considering active cooling vol.84, pp.8, 2014, https://doi.org/10.1007/s00419-014-0874-6
  2. A precise method for solving wave propagation in hollow sandwich cylinders with prismatic cores vol.28, pp.4, 2015, https://doi.org/10.1016/S0894-9166(15)30022-7
  3. Symplectic analysis of dynamic properties of hexagonal honeycomb sandwich tubes with plateau borders vol.351, 2015, https://doi.org/10.1016/j.jsv.2015.04.012