Journal of Materials Science

, Volume 48, Issue 6, pp 2462–2478 | Cite as

Modelling the deformation of a confectionery wafer as a non-uniform sandwich structure

  • I. K. Mohammed
  • M. N. Charalambides
  • J. G. Williams
  • J. Rasburn
Article

Abstract

The aim of this research was to model the mechanical behaviour of wafers found in various confectionery products in order to optimise the manufacturing stage. Compression and bending tests showed that the mechanical behaviour of the wafer was characteristic of a brittle foam. The internal microstructure of the wafer sheet was examined with an optical microscope which showed that the wafer possessed a sandwich structure with a porous core between two denser skins. An analytical model was developed to calculate the individual moduli of the wafer core and skin sections. These modulus values were used in a finite element (FE) model which consisted of a simple repetitive geometry. The FE model simulated the linear deformation of the wafer under compression and bending. The predictions from the analytical and numerical models were compared. They were found to agree in compression but deviated under bending due to the large mismatch of the core and skin moduli.

Notes

Acknowledgements

The authors would like to thank Nestle PTC York for funding the studentship and for supplying materials for testing.

References

  1. 1.
    Fusheng H, Zhengang Z (1999) J Mater Sci 34:291. doi: 10.1023/A:1004401521842 CrossRefGoogle Scholar
  2. 2.
    Fusheng H, Zhengang Z, Junchang G (1998) Metall Mater Trans 29:1998Google Scholar
  3. 3.
    Gibson LJ, Ashby MF (1988) Cellular solids structure and properties, 1st edn. Pergamon Press, OxfordGoogle Scholar
  4. 4.
    Maire E, Fazekas A, Salvo L, Dendievel R, Youssef S, Cloetens P, Letang JM (2003) Compos Sci Technol 63:2431CrossRefGoogle Scholar
  5. 5.
    Luyten H, Plijter JJ, Van Vliet T (2004) J Texture Stud 35:445CrossRefGoogle Scholar
  6. 6.
    Pollien A, Conde Y, Pambaguian L, Mortensen A (2005) Mater Sci Eng 404:9CrossRefGoogle Scholar
  7. 7.
    McCormack TM, Miller R, Kesler O, Gibson LJ (2001) Int J Solids Struct 38:4901CrossRefGoogle Scholar
  8. 8.
    Bart-Smith H, Hutchinson JW, Evans AG (2001) Int J Mech Sci 43:1945CrossRefGoogle Scholar
  9. 9.
    Steeves CA, Fleck NA (2004) Int J Mech Sci 46:585CrossRefGoogle Scholar
  10. 10.
    Timoshenko S (1955) Strength of materials: Part 1. Elementary, 3rd edn. Krieger Pub Co, MelbourneGoogle Scholar
  11. 11.
    Timoshenko S (1958) Strength of materials: part 2. Advanced, 3rd edn. Krieger Pub Co, MelbourneGoogle Scholar
  12. 12.
    Rizov V, Shipsha A, Zenkert D (2005) Compos Struct 69:95CrossRefGoogle Scholar
  13. 13.
    Rizov VI (2006) Comput Mater Sci 35:107CrossRefGoogle Scholar
  14. 14.
    Mills NJ, Fitzgerald C, Gilchrist A, Verdejo R (2003) Compos Sci Technol 63:2389CrossRefGoogle Scholar
  15. 15.
    Mills NJ, Gilchrist A (2008) Int J Impact Eng 35:1087CrossRefGoogle Scholar
  16. 16.
    Vallès-Pàmies B (2008) Hydration-induced textural changes in cereal products. PhD Thesis, University of NottinghamGoogle Scholar
  17. 17.
    Traitler N (2007) Physical and mechanical properties of biopolymer cellular solids. PhD Thesis, University of CambridgeGoogle Scholar
  18. 18.
    Warburton SC, Donald AM, Smith AC (1990) J Mater Sci 25:4001. doi: 10.1007/BF00582472 CrossRefGoogle Scholar
  19. 19.
    Standard test method for determination of modulus of elasticity for rigid and semi-rigid plastic specimens by controlled rate of loading using three-point bending1 designation: D5934–02Google Scholar
  20. 20.
    ASTM Designation: D 5934-02. Standard test method for determination of modulus of elasticity for rigid and semi-rigid plastic specimens by controlled rate of loading using three-point bendingGoogle Scholar
  21. 21.
    Williams JG (1980) Stress analysis of polymers, 2nd edn. Wiley & Sons, New YorkGoogle Scholar
  22. 22.
    Benham PP, Crawford RJ, Armstrong CG (1996) Mechanics of engineering materials, 2nd edn. Prentice Hall, Upper saddle RiverGoogle Scholar
  23. 23.
    Abaqus Version 6.9. Hibbitt Karlsson and Sorensen Inc, Providence, RIGoogle Scholar
  24. 24.
    Simulia (2009) ABAQUS user manual, version 6.9-1Google Scholar
  25. 25.
    Deshpande VS, Fleck NA (2000) J Mech Phys Solids 48:1253CrossRefGoogle Scholar
  26. 26.
    Mohammed IK (2011) Mechanical characterisation of confectionery wafers. PhD Thesis, Imperial College LondonGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • I. K. Mohammed
    • 1
  • M. N. Charalambides
    • 1
  • J. G. Williams
    • 1
  • J. Rasburn
    • 2
  1. 1.Mechanical Engineering DepartmentImperial College LondonLondonUK
  2. 2.Nestec York Ltd.Nestlé Product Technology CentreYorkUK

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