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Reissner–Mindlin Shear Moduli of a Sandwich Panel with Periodic Core Material

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Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 21))

Abstract

Cecchi and Sab homogenization method (Cecchi and Sab in Int. J. Solids Struct. 44(18–19):6055–6079, 2007) for the derivation of the effective Reissner–Mindlin shear moduli of a periodic plate is applied to sandwich panels including chevron pattern. Comparison with existing bounds (Lebée and Sab in Int. J. Solids Struct., 2010) and full 3D finite element computation validates the method. Finally, the skins effect on transverse shear stiffness is put forward.

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References

  1. Basily, B., Elsayed, E.: Dynamic axial crushing of multi-layer core structures of folded chevron patterns. Int. J. Mater. Prod. Technol. 21, 169–185 (2004)

    Article  Google Scholar 

  2. Caillerie, D.: Thin elastic and periodic plates. Math. Methods Appl. Sci. 6(2), 159–191 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  3. Carrera, E.: Theories and finite elements for multilayered, anisotropic, composite plates and shells, Arch. Comput. Methods Eng. 9(2), 87–140 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  4. Cecchi, A., Sab, K.: A homogenized Reissner–Mindlin model for orthotropic periodic plates: Application to brickwork panels. Int. J. Solids Struct. 44(18–19), 6055–6079 (2007)

    Article  MATH  Google Scholar 

  5. Fischer, S., Drechsler, K., Kilchert, S., Johnson, A.: Mechanical tests for foldcore base material properties. Compos. A, Appl. Sci. Manuf. 40, 1941–1952 (2009)

    Article  Google Scholar 

  6. Gibson, L.J., Ashby, M.F.: Cellular Solids Pergamon, Elmsford (1988)

    MATH  Google Scholar 

  7. Heimbs, S., Mehrens, T., Middendorf, P., Maier, A., Schumacher, M.: Numerical determination of the nonlinear effective mechanical properties of folded core structures for aircraft sandwich panels. In: 6th European LS DYNA User’s Conference, 2006.

    Google Scholar 

  8. Kelsey, S., Gellatly, R., Clark, B.: The shmar Modulus of foil honeycomb cores: a theoretical and experimental investigation on cores used in sandwich construction. Aircr. Eng. Aerospace Technol. 30(10), 294–302 (1958)

    Article  Google Scholar 

  9. Kintscher, M., Karger, L., Wetzel, A., Hartung, D.: Stiffness and failure behaviour of folded sandwich cores under combined transverse shear and compression. Compos. A, Appl. Sci. Manuf. 38(5), 1288–1295 (2007)

    Article  Google Scholar 

  10. Lebée, A., Sab, K.: Transverse shear stiffness of a chevron folded core used in sandwich construction. Int. J. Solids Struct. (2010, submitted)

    Google Scholar 

  11. Nguyen, M., Jacombs, S., Thomson, R., Hachenberg, D., Scott, M.: Simulation of impact on sandwich structures. Compos. Struct. 67(2), 217–227 (2005)

    Article  Google Scholar 

  12. Reissner, E.: Reflections on the theory of elastic plates. Appl. Mech. Rev. 38(11), 1453–1464 (1985)

    Article  Google Scholar 

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Correspondence to Arthur Lebée .

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Lebée, A., Sab, K. (2010). Reissner–Mindlin Shear Moduli of a Sandwich Panel with Periodic Core Material. In: Maugin, G., Metrikine, A. (eds) Mechanics of Generalized Continua. Advances in Mechanics and Mathematics, vol 21. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5695-8_18

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