Characterization of Deformation and Failure Modes of Ordinary and Auxetic Foams at Different Length Scales

  • Fu-pen ChiangEmail author


Sandwich panels with foam core have gained substantial importance in marine structures for the past several decades. However, designers of ships still lack the confidence in composites when compared to traditional structural materials such as aluminum or steel. As a result, composite structures tend to be overdesigned to provide added safety. While there have been numerous studies, most investigators treat the foam cores as made of homogeneous and isotropic materials. But at the length scale of the order of millimeter or smaller, foam is neither homogeneous nor isotropic. In this paper, we present some results of the characteristics of deformation and failure mechanism of polymer foam composites at different length scales. Central to this investigation is a multiscale digital speckle photography technique whereby we can measure detailed full deformation with spatial resolution ranging from centimeters to micrometers. We first investigate the size effect on the mechanical properties of polyurethane foams with and without nanoparticles, crack tip deformation field at different length scales, and the crack propagation characteristics in a foam. Then we present results for a newly created auxetic PVC foam composite. Auxetic materials have a negative Poisson's ratio rendering them to be more resistant to shear failure, indentation, and impact damages. We describe the manufacturing process of this material and demonstrate its advantageous properties as compared to the original foam.


Polyurethane Foam Speckle Pattern Sandwich Panel Deformation Pattern Foam Core 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The author gratefully acknowledges the support provide by the Office of Naval Research's Solid Mechanical Program under the leadership of Dr. Yapa D.S. Rajapakse. The development of the speckle technique was supported by earlier grants from ONR. The foam composite work was supported by the grant # N000140410357. The encouragement of Dr. Rajapakse is in-dispensible for the success of the work.


  1. 1.
    Vinson JR, Rajapakse YDS, Carlsson L (eds.) (2003) 6th International Conference on Sandwich Structures. CRC press, Boca Raton, FLGoogle Scholar
  2. 2.
    Prasad S, Carlsson L (1994) Debonding and crack kinking in foam core sandwich beams —I. Analysis of fracture specimens. Eng Fract Mech 47(6):813–824CrossRefGoogle Scholar
  3. 3.
    Prasad S, Carlsson L (1994) Debonding and crack kinking in foam core sandwich beams —II. Experimental investigation. Eng Fract Mech 47(6):825–841CrossRefGoogle Scholar
  4. 4.
    Gibson LJ, Ashby MF, Schajer GS, Robertsson CI (1982) The mechanics of two-dimensional cellular materials. Proc R Soc Lond A382:25–42Google Scholar
  5. 5.
    Gibson LJ, Ashby MF (1982) The mechanics of three-dimensional cellular materials. Proc R Soc Lond A382:43–59Google Scholar
  6. 6.
    Zenkert D, Bäcklund J (1989) PVC sandwich core materials:Mode I fracture toughness. Compos Sci Technol 34:225–242CrossRefGoogle Scholar
  7. 7.
    Zenkert D (1989) PVC sandwich core materials:fracture behaviour under mode II and mixed mode conditions. Mater Sci Eng A108:233–240Google Scholar
  8. 8.
    Hallström S, Grenestedt JL (1997) Mixed mode fracture of cracks and wedge shaped notches in expanded PVC foam. Int J Fract 88(4):343–358CrossRefGoogle Scholar
  9. 9.
    Chiang FP (2003) ( isn't in document Evolution of white light speckle method and its application to micro/nanotechnology and heart mechanics. Opt Eng 42(5):1288–1292Google Scholar
  10. 10.
    Chiang FP (1978) A family of 2D and 3D experimental stress analysis techniques using laser speckles. Solids Mech Arch 3(1):1–32Google Scholar
  11. 11.
    Chen DJ, Chiang FP (1993) Computer aided speckle interferometry using spectral amplitude fringes. Appl Opt 3(2):225–236CrossRefGoogle Scholar
  12. 12.
    Chen DJ, Chiang FP, Tan YS, Don HS (1993) Digital speckle-displacement measurement using a complex spectrum method. Appl Opt 32(11):1839–1849CrossRefGoogle Scholar
  13. 13.
    Chiang FP, Wang Q, Lehman F (1997) New developments in full field strain measurements using speckles. In:Lucas GF, Stubbs DA (eds.), Non traditional methods of sensing stress, strain and damage in materials and structures. AS™STP 1318:156–169Google Scholar
  14. 14.
    Lakes RS (1987) Foam structures with a negative Poisson's ratio. Science 235:1038–1040CrossRefGoogle Scholar
  15. 15.
    Lakes RS, Elm K (1993) Indentability of conventional and negative Poisson's ratio foams. J Compos Mater 27:1193–1202CrossRefGoogle Scholar
  16. 16.
    Chiang FP (2006) Macro to nanomechanics studies of foam material. Proc ONR Prog Rev ′06 (Rajapakse YDS ed.), University of Maryland, College Park, MDGoogle Scholar
  17. 17.
    Ting TCT, Barnett DM (2005) Negative Poisson's ratios in anisotropic linear elastic media. J Appl Mech Trans ASME 72(6):929–931CrossRefGoogle Scholar
  18. 18.
    Ting TCT, Chen T (2005) Poisson's ratio for anisotropic elastic materials can have no bounds. Q J Mech Appl Math 58(1):73–82CrossRefGoogle Scholar
  19. 19.
    Alderson KL, Webber RS, Kettle AP, et al. (2005) Novel fabrication route for auxetic polyethylene. Part 1. Processing and microstructure. Polym Eng Sci 45(4):568–578CrossRefGoogle Scholar
  20. 20.
    Alderson A, Evans KE (2002) Molecular origin of auxetic behavior in tetrahedral framework silicates. Phys Rev Lett 89(22):225503-1CrossRefGoogle Scholar
  21. 21.
    Alderson KL, Fitzgerald A, Evans KE (2000) Strain dependent indentation resilience of auxetic microporous polyethylene. J Mater Sci 35(16):4039–4047CrossRefGoogle Scholar
  22. 22.
    Alderson KL, Alderson A, Evans KE (1997) Interpretation of the strain-dependent Poisson's ratio in auxetic polyethylene. J Strain Anal Eng Des 32(3):201–212CrossRefGoogle Scholar
  23. 23.
    Baughman RH, Shacklette JM, et al. (1998) Negative Poisson's ratios as a common feature of cubic metals. Nature 392(6674):362–365CrossRefGoogle Scholar
  24. 24.
    Whitty JPM, Alderson A, Myler P, Kandola B (2003) Towards the design of sandwich panel composites with enhanced mechanical and thermal properties by variation of the in-plane Poisson's ratios. Compos Part A:Appl Sci Manuf 34(6) SPEC:525–534CrossRefGoogle Scholar
  25. 25.
    Evans KE (1991) Auxetic polymers:a new range of materials. Endeavour, New Series 15(4):170–174CrossRefGoogle Scholar
  26. 26.
    Chen CP, Lakes RS (1989) Dynamic wave dispersion and loss properties of conventional and negative Poisson's ratio polymeric cellular materials. Cell Polym 8(5):343–359Google Scholar
  27. 27.
    Scarpa F, Yates JR, et al. (2002) Dynamic crushing of auxetic open-cell polyurethane foam. Proc Inst Mech Eng Part C:J Mech Eng Sci 216(12):1153–1156CrossRefGoogle Scholar
  28. 28.
    Scarpa F, Ciffo LG, et al. (2004) Dynamic properties of high structural integrity auxetic open cell foam. Smart Mater Struct 13(1):49–56CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringStony Brook UniversityStony Brook

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