Browse > Article
http://dx.doi.org/10.12989/sem.2013.45.4.439

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)
Publication Information
Structural Engineering and Mechanics / v.45, no.4, 2013 , pp. 439-454 More about this Journal
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
sandwich tube; homogenization method; prismatic core; multiple-topology designed materials;
Citations & Related Records
연도 인용수 순위
  • Reference
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
6 Hohe, J. and Becker, W. (1999), "Effective elastic properties of triangular grid structures", Composite Structures, 45, 131-145.   DOI   ScienceOn
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.   DOI   ScienceOn
8 Hohe, J., Beschorner, C. and Becker, W. (1999), "Effective elastic properties of hexagonal and quadrilateral grid structures", Composite Structures, 46, 73-89.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
13 Seepersad, C., CAllen, J., McDowell, D. and Mistree, F. (2008), "Multifunctional topology-design of cellular material structures", J Mech Design, 130, 031404-031413.   DOI   ScienceOn
14 Liu, T., Deng, Z. and Lu, T. (2007c), "Structural modeling of sandwich structures with lightweight cellular cores", Acta Mech Sinica-Prc, 23, 545-559.   DOI
15 Lu, T., Valdevit, L. and Evans, A. (2005), "Active cooling by metallic sandwich structures with periodic cores", Progress in Materials Science, 50, 789-815.   DOI   ScienceOn
16 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.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn