Advertisement

Dynamic Analysis of Debonded Sandwich Plates with Flexible Core – Numerical Aspects and Simulation

  • Vyacheslav N. BurlayenkoEmail author
  • Tomasz Sadowski
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 15)

Abstract

Although significant work has been done in modeling sandwich panels, models for debonded sandwich plates with a flexible core, especially the vibration analysis, are at their infancy, and it will be the main focus of this paper. This study deals with a finite element (FE) analysis of vibrations of flexible core sandwich plates that are weakened by damage embedded along the face sheet-to-core interface. The FE model developed is based on a refined general-purpose sandwich panel theory, where the first order shear deformation theory and assumptions of the 3-D elasticity theory are used for modeling the face sheets and the core, respectively. The FE mesh contains continuum shell elements for each of the face sheet layers and 3-D brick elements for the core. The comparison of the FE predictions to those known experimental and analytical results allow us to estimate the accuracy of the FE model developed, as well as to find the influence of the geometrical nonlinearity of the flexible core in vibrating and the contact nonlinearity caused by debonding on dynamics of sandwich plates.

keywords

Sandwich plate Debonding Vibration Finite element method 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

Acknowledgements

The research leading to these results has received funding from the European Union Seventh Framework Programme (FP7/2007–2013), FP7 - REGPOT - 2009 - 1, under grant agreement No:245479 and the support by Polish Ministry of Science and Higher Education, Grant No 1471-1/7PR UE/2010/7, is also acknowledged.

References

  1. 1.
    Librescu L, Hause T (2000) Recent developments in the modeling and behavior of advanced sandwich constructions: a survey. Compos Struct 48:1–17CrossRefGoogle Scholar
  2. 2.
    Vinson JR (2001) Sandwich structures. Appl Mech Rev 54:201–214CrossRefGoogle Scholar
  3. 3 .
    ause T, Librescu L (2006) Flexural free vibration of sandwich flat panels with laminated anisotropic face sheets. J Sound Vib 297:823–841CrossRefGoogle Scholar
  4. 4.
    Bernard ML, Lagace PA (1987) Impact resistance of composite plates. In: Proceedings of the American Society for Composites. 2nd Technical Conference 167–176Google Scholar
  5. 5.
    Akay M, Hanna R (1990) A comparison of honeycomb-core and foam-core carbon-fibre/epoxy sandwich panels. Composites 21:325–231CrossRefGoogle Scholar
  6. 6.
    Altenbach H (1998) Theories for laminated and sandwich plates: a review. Int Applied Mech 34:243–252Google Scholar
  7. 7.
    Ferreira AJM (2005) Analysis of composite plates using a layerwise shear deformation theory and multiquadrics discretization. Mech Adv Mater Struct 12:99–112CrossRefGoogle Scholar
  8. 8.
    Frostig Y, Thomsen OT (2004) High-order free vibration of sandwich panels with a flexible core. Int J Solids Struct 41:1697–1724CrossRefGoogle Scholar
  9. 9.
    Rao MK, Desai YM (2004) Analytical solutions for vibrations of laminated and sandwich plates using mixed theory. Compos Struct 63:361–373CrossRefGoogle Scholar
  10. 10.
    Frostig Y, Thomsen OT, Vinson JR (2004) High-order bending analysis of unidirectional curved soft sandwich panels with disbonds and slipping layers. J Sandwich Struct Mater 6:167–194CrossRefGoogle Scholar
  11. 11.
    Della CN, Shu D (2007) Vibration of delaminated composite laminates: a review. Applied Mechanics Reviews 60:1–20CrossRefGoogle Scholar
  12. 12.
    Lu X, Lestari W, Hanagud S (2001) Nonlinear vibrations of a delaminated beam. J Vib Control 7:803–831CrossRefGoogle Scholar
  13. 13.
    Ju F, Lee HP, Lee KH (1994) Dynamic response of delaminated composite beams with intermittent contact in delaminated segments. Compos Eng 4:1211-1224.CrossRefGoogle Scholar
  14. 14.
    Kwon YW, Lannamann DL (2002) Dynamic numerical modeling and simulation of interfacial cracks in sandwich structures for damage detection. J Sandwich Struct Mater 4:175–199CrossRefGoogle Scholar
  15. 15.
    Schwarts-Givli H, Rabinovitch O, Frostig Y (2008) Free vibrations of delaminated unidirectional sandwich panels with a transversely flexible core and general boundary conditions - a high-order approach. J Sandwich Struct Mater 10:99–131CrossRefGoogle Scholar
  16. 16.
    Burlayenko VN, Sadowski T (2011) A numerical study of the dynamic response of sandwich plates initially damaged by low velocity impact. Comput Mater Sci doi: 10.1016/j.commatsci.2011.01.009
  17. 17.
    ABAQUS Version 6.9-1 EF User’s Manual (2009) Dassault Systems Simulia Corp., Providence. RI, USAGoogle Scholar
  18. 18.
    Burton WS, Noor AK (1996) Assessment of continuum models for sandwich panel honeycomb cores. Comput Meth Appl Mech145:341–360CrossRefGoogle Scholar
  19. 19.
    Nabarrete A, De Almeida SFM, Hansen JS (2003) Sandwich plate vibration analysis: three layer quasi three-dimensional finite element model. AIAA J 41:1547–1555CrossRefGoogle Scholar
  20. 20.
    Gibson LJ, Ashby MF (1988) Cellular solids: structure and properties. Oxford, Pergamon PressGoogle Scholar
  21. 21.
    Burlayenko VN, Sadowski T (2010) Effective elastic properties of foam-filled honeycomb cores of sandwich panels. Compos Struct 92:2890–2900CrossRefGoogle Scholar
  22. 22.
    Zienkiewicz OC (1977) The finite element method. 3rd edn. McGraw-Hill, LondonGoogle Scholar
  23. 23.
    Kikuchi N, Oden JT (1988) Contact problems in elasticity: a study of variational inequalities and finite element methods. SIAM, PhiladelphiaGoogle Scholar
  24. 24.
    Laursen TA, Simo JC (1993) A continuum-based finite element formulation for the implicit solution of multi-body large deformation frictional contact problems. Int J Numer Meth Eng 36:3451–3485CrossRefGoogle Scholar
  25. 25.
    Burlayenko VN, Sadowski T (2010) Influence of skin/core debonding on free vibration behavior of foam and honeycomb cored sandwich plates. Int J Non-Linear Mech 45:959–968CrossRefGoogle Scholar
  26. 26.
    Pagano NJ (1970) Exact solutions for rectangular bi-directional composites and sandwich plates. J Compos Mater 4:20–35Google Scholar
  27. 27.
    Shipsha A, Hallström S, Zenkert D (2003) Failure mechanisms and modelling of impact damage in sandwich beams - a 2D approach: part I - experimental investigation. J Sandwich Struct Mater 5:7–31CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Lublin University of TechnologyLublinPoland
  2. 2.National Technical University KhPIUkraineUkraine
  3. 3.Lublin University of TechnologyLublinPoland

Personalised recommendations