Advertisement

Zeitschrift für angewandte Mathematik und Physik

, Volume 62, Issue 1, pp 183–188 | Cite as

Discussion: “On interactive buckling in a sandwich structure” by C. D. Coman

  • M. Ahmer WadeeEmail author
  • Stylianos Yiatros
Article

Abstract

A recent article by Coman (Z Angew Math Phys 2009) on the response of compression sandwich struts made some claims on the quality of the simplified version of the interactive buckling model presented in Hunt and Wadee (Proc R Soc A 454(1972):1197–1216, 1998). Some of these claims are examined in detail herein; it is concluded that great care must be exercised when performing parametric studies with equations that have been derived from simplifying a mechanical model. This is because the resulting system of equations does not necessarily describe the original mechanical system in full, since the key assumptions necessarily change.

Mathematics Subject Classification (2000)

34B15 37C29 37C75 65P30 65P40 74B99 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Coman, C.D.: On interactive buckling in a sandwich structure. Z. Angew. Math. Phys. (2009). Published online. doi: 10.1007/s00033-009-0014-2
  2. 2.
    Hunt G.W., Wadee M.A.: Localization and mode interaction in sandwich structures. Proc. R. Soc. A 454(1972), 1197–1216 (1998)zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Beardmore R.E., Peletier M.A., Budd C.J., Wadee M.A.: Bifurcations of periodic solutions satisfying the zero-hamiltonian constraint in fourth-order differential equations. SIAM J. Math. Anal. 36(5), 1461–1488 (2005)zbMATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Kerr A.D.: Elastic and viscoelastic foundation models. J. Appl. Mech. Trans. ASME 31, 491–498 (1964)zbMATHGoogle Scholar
  5. 5.
    Wadee M.A.: Effects of periodic and localized imperfections on struts on nonlinear foundations and compression sandwich panels. Int. J. Solids Struct. 37(8), 1191–1209 (2000)zbMATHCrossRefGoogle Scholar
  6. 6.
    Wadee M.A., Simõesda Silva L.A.P.: Asymmetric secondary buckling in monosymmetric sandwich struts. J. Appl. Mech. Trans. ASME 72(5), 683–690 (2005)zbMATHCrossRefGoogle Scholar
  7. 7.
    Wadee M.A.: Experimental evaluation of interactive buckle localization in compression sandwich panels. J. Sandw. Struct. Mater. 1(3), 230–254 (1999)CrossRefGoogle Scholar
  8. 8.
    Wadee M.A., Yiatros S., Theofanous M.: Comparative studies of localized buckling in sandwich struts with different core bending models. Int. J. Non-Linear Mech. 45(2), 111–120 (2010)CrossRefGoogle Scholar
  9. 9.
    Hunt G.W., Da Silva L.S., Manzocchi G.M.E.: Interactive buckling in sandwich structures. Proc. R. Soc. A 417(1852), 155–177 (1988)CrossRefGoogle Scholar
  10. 10.
    Goodier J.N.: Cylindrical buckling of sandwich plates. J. Appl. Mech. Trans. ASME 13(4), A253–A260 (1946)MathSciNetGoogle Scholar
  11. 11.
    Fleck N.A., Sridhar I.: End compression of sandwich columns. Compos. Pt A 33, 353–359 (2002)CrossRefGoogle Scholar

Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringImperial College LondonLondonUK

Personalised recommendations