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Deformation of a Composite Disk Having a Tapered Clamped Boundary

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Abstract

An out-of-plane displacement analysis is conducted on a circular composite disk in which a pre-stressed condition is created by clamping the specimen along a tapered boundary. This configuration is designed to lower the boundary stresses when uniform pressures are subsequently applied during permeability tests developed to study potential microcracking and permeability resistant material systems for cryogenic tank usage. A finite element analysis of the pre-stressed condition predicted a displacement field in which the location of the maximum out-of-plane displacement did not coincide with the principal material coordinate system despite the fact that the specimen was symmetric with respect to its mid-plane and uniformly clamped around the boundary. This was attributed to variations in the terms contained in the bending stiffness matrix which were shown to change as a function of the angle measured relative to the principal material directions. The finding was investigated by using the method of speckle metrology and digital image correlation to experimentally measure the displacement field. A comparison between the experimental and analytical results showed a very good agreement, thereby validating the finite element model and its prediction.

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References

  1. National Aeronautics and Space Administration (2013) Composite cryotank technologies & demonstration. NASA facts, FS-2013-07-206-LaRC. Available on the web at: https://gcd.larc.nasa.gov/wp-content/uploads/2013/07/FS_CCTD_factsheet.pdf

  2. Office of the Chief Technologist, National Aeronautics and Space Administration (2015) Composite cryogenic technologies and demonstration project. Available on the web at: http://www.nasa.gov/offices/oct/stp/game_changing_development/composite-cryotank.html

  3. Landman T (2015) NASA puts composite cryotank through its paces. Spaceflight Insider, September 2, 2014. Available on the web at: http://www.spaceflightinsider.com/organizations/nasa/nasa-puts-composite-cryotank-paces/

  4. National Aeronautics and Space Administration (2014) Space launch system. NASA facts, FS-2014-08-123-MSFC G-51857. Available on the web at: http://www.nasa.gov/sites/default/files/files/SLS-Fact-Sheet_aug2014-finalv3.pdf

  5. Goetz R, Ryan R, Whitaker AF (2000) Failure report of the X-33 liquid hydrogen tank test investigation team. NASA Marshall Space Flight Center, Huntsville

    Google Scholar 

  6. Sparks JS (2003) Development of a cryobiaxial permeability apparatus to measure hydrogen permeability in composites. NASA/TM-2003-212928

  7. Oliver ST (2004) Analysis of a circular composite disk subjected to edge rotations and hydrostatic pressure. MS thesis, University of Alabama in Huntsville, Huntsville, Alabama

  8. Oliver ST (2009) Experimental verification of a non-axisymmetric displacement field predicted by finite element analysis of a composite disk subjected to an axisymmetric loading. Ph.D. dissertation, University of Alabama in Huntsville, Huntsville, Alabama

  9. Cavallaro P, Gee L, Tsangarakis N (1995) Biaxial testing of composites – a study of the disk specimen. ARL-TR-690. Available on the web at: http://www.dtic.mil/dtic/tr/fulltext/u2/a294411.pdf

  10. Zhang W, Gibson AG (1995) Finite element aided design of biaxial bending tests on oval sandwich plates. Comput Struct 57(5):751–762

    Article  MATH  Google Scholar 

  11. Lee SW, Sun CT (1995) On the apparent bending isotropy in clamped elliptic composite laminates. J Compos Mater 29(12):1601–1620

    Article  Google Scholar 

  12. Jones RM (1999) Mechanics of composite materials, 2nd edn. Brunner-Routledge, New York

    Google Scholar 

  13. Hexcel Corporation (2014) HexTow IM7 carbon fiber product data sheet. Stamford, Connecticut. Available on the web at: http://www.hexcel.com/resources/datasheets/carbon-fiber-data-sheets/im7.pdf

  14. Hexcel Corporation (2013) HexPly 8552 epoxy matrix product data sheet. Stamford, Connecticut. Available on the web at: http://www.hexcel.com/Resources/DataSheets/Prepreg-Data-Sheets/8552_eu.pdf

  15. Sutton M, Orteu JJ, Schreier H (2009) Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications. Springer, New York

    Google Scholar 

  16. Correlated Solutions (2013) The VIC-3D measurement system. Columbia, SC. Available on the web at: http://www.correlatedsolutions.com/wp-content/uploads/2013/10/VIC-3D%20System%20Specs.pdf

  17. Hild F, Roux S (2006) Digital image correlation: from displacement measurement to identification of elastic properties-a review. Strain 42:69–80

    Article  Google Scholar 

  18. Pan B, Qian K, Xie H, Asundi A (2009) Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas Sci Technol 20(6), 062001

    Article  Google Scholar 

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Acknowledgments

We would like to thank the many individuals at the Marshall Space Flight Center (MSFC) who helped make this work possible. Without just one, our project would not have been successful. Above all, our thanks and praises go to our Savior Jesus Christ for the many blessings bestowed on us and the guidance He provided during our daily walk with Him. Any opinions, findings, conclusions or recommendations expressed in this publication are those of the authors and do not necessarily reflect the views of NASA/MSFC.

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Authors and Affiliations

  1. Marshall Space Flight Center, Huntsville, AL, 35812, USA

    S. T. Oliver

  2. Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, Huntsville, AL, 35899, USA

    J. A. Gilbert & M. V. Bower

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  1. S. T. Oliver
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  2. J. A. Gilbert
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  3. M. V. Bower
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Correspondence to J. A. Gilbert.

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This paper is dedicated to our co-author, the late Dr. Mark V. Bower, who vehemently pursued the underlying research until his untimely death.

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Oliver, S.T., Gilbert, J.A. & Bower, M.V. Deformation of a Composite Disk Having a Tapered Clamped Boundary. Exp Mech 55, 1451–1463 (2015). https://doi.org/10.1007/s11340-015-0056-7

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  • DOI: https://doi.org/10.1007/s11340-015-0056-7

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