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Experimental Stress Analysis of Unsymmetrical, Irregularly-Shaped Structure Containing an Arbitrarily-Shaped Hole

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Abstract

This paper describes the ability to process load induced temperature information with an Airy stress function in real polar coordinates and some local known boundary conditions to determine the stresses experimentally in an isotropic linear elastic finite arbitrarily-shaped structure containing an irregularly-shaped hole. The proposed method simultaneously smooths the measured data, separates the stress components, and evaluates the individual stress components full-field, including at the boundary of the hole (location of highest tensile stress).

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References

  1. Muskhelishvili, N.: Some basic problems of the mathematical theory of elasticity. Springer, Leyden (1977)

    Book  Google Scholar 

  2. Lekhnitskii, S.G.: Anisotropic plates. Gordon & Breach Scientific Publishers, New York (1968)

    Google Scholar 

  3. Timoshenko, S., Goodier, J.: Theory of elasticity. McGraw-Hill Publishing Company, New York (1970)

    MATH  Google Scholar 

  4. Foust, B.E., Rowlands, R.E.: Thermoelastic determination of individual stresses in a diametrally loaded disk. Strain. 47(2), 146–153 (2011)

    Article  Google Scholar 

  5. Lin, S.-J., Matthys, D.R., Rowlands, R.E.: Separating stresses thermoelastically in a central circularly perforated plate using an airy stress function. Strain. 45(6), 516–526 (2009)

    Article  Google Scholar 

  6. Samad, W.A., Rowlands, R.E.: Full-field thermoelastic stress analysis of a finite structure containing an irregularly-shaped hole. Exp. Mech. 54(3), 457–469 (2014)

    Article  Google Scholar 

  7. Samad, W.A., Khaja, A.A., Kaliyanda, A.R., Rowlands, R.E.: Hybrid thermoelastic stress analysis of a pinned joint. Exp. Mech. 54(4), 515–525 (2014)

    Article  Google Scholar 

  8. Lin, S.-J., Quinn, S., Matthys, D.R., New, A.M., Kincaid, I.M., Boyce, B.R., Khaja, A.A., Rowlands, R.E.: Thermoelastic determination of individual stresses in vicinity of a near-edge hole beneath a concentrated load. Exp. Mech. 51(6), 797–814 (2011)

    Article  Google Scholar 

  9. Lin, S.J., Matthys, D.R., Samad, W.A., Khaja, A.A., Boyce, B.R., Rowlands, R.E.: Infrared stress analysis of unsymmetrically-loaded perforated member, ISEM-ACEM-SEM-7th ISEM’12, Taipei (2012)

    Google Scholar 

  10. Samad, W.A., Rowlands, R.E.: Hybrid thermoelastic analysis of an unsymmetrically-loaded structure containing an arbitrarily-shaped cutout. In: Residual stress, thermomechanics & infrared imaging, hybrid techniques and inverse problems, vol 8, pp. 51–57. Springer (2014)

    Google Scholar 

  11. Abdel Samad, W.: Hybrid full-field stress analysis of structures containing irregularly-shaped cutouts, PhD Thesis, University of Wisconsin-Madison (2013)

    Google Scholar 

  12. Lin, S.J., Matthys, D.R., Quinn, S., Davidson, J.P., Boyce, B.R., Khaja, A.A., Rowlands, R.E.: Stresses at and in the neighborhood of a near-edge hole in a plate subjected to an offset load from measured temperatures. Eur. J. Mech. A Solids. 39, 209–217 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  13. Kurunthottikkal Philip, S.: Stress analysis of a finite structure containing an asymmetrical, arbitrarily-shaped cutout based on recorded temperature data, Master Thesis, University of Wisconsin – Madison (2015)

    Google Scholar 

  14. Lin, S.T., Rowlands, R.E.: Thermoelastic stress analysis of orthotropic composites. Exp. Mech. 35(3), 257–265 (1995)

    Article  Google Scholar 

  15. Alshaya, A., Shuai, X., Rowlands, R.: Thermoelastic stress analysis of a finite orthotropic composite containing an elliptical hole. Exp. Mech. 56(8), 1373–1384 (2016)

    Article  Google Scholar 

  16. Alshaya, A.A.: Experimental, analytical and numerical analyses of orthotropic materials and biomechanics application, PhD Thesis, University of Wisconsin-Madison (2017)

    Google Scholar 

  17. Greene, R., Patterson, E., Rowlands, R.: Thermoelastic stress analysis. In: Sharpe, J., William, N. (eds.) Springer handbook of experimental solid mechanics, pp. 743–768. Springer, New York (2008)

    Chapter  Google Scholar 

  18. Soutas-Little, R.W.: Elasticity. Dover Publications, Mineola (1999)

    Google Scholar 

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Correspondence to R. Rowlands .

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Kalayciogli, B., Alshaya, A., Rowlands, R. (2018). Experimental Stress Analysis of Unsymmetrical, Irregularly-Shaped Structure Containing an Arbitrarily-Shaped Hole. In: Baldi, A., Considine, J., Quinn, S., Balandraud, X. (eds) Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 8. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-62899-8_2

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  • DOI: https://doi.org/10.1007/978-3-319-62899-8_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62898-1

  • Online ISBN: 978-3-319-62899-8

  • eBook Packages: EngineeringEngineering (R0)

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