Technical Papers
May 11, 2015

Experimentally Determined Stresses at Geometric Discontinuities Using Simple Stress Functions

Publication: Journal of Engineering Mechanics
Volume 141, Issue 11

Abstract

Recognizing that the most serious structural stresses often occur at holes or notches, the ability to determine such stresses by combining recorded load-induced temperature information with simple stress functions is demonstrated. Purely theoretical/analytical or numerical stress analyses typically require knowing the external boundary conditions, something which is frequently unknown. Moreover, theoretical stress analyses tend to be restricted to simple, infinite structures. Stresses evaluated at the edge of geometric discontinuities by traditional experimental approaches can be very unreliable. On the other hand, the present technique provides accurate stresses at and in the neighborhood of a hole in an edge-loaded finite plate by processing the recorded temperature data with a simple, general stress function.

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Acknowledgments

Elsevier kindly gave permission to reprint the present Figs. 5 and 7 [Figs. 7 and 9 with respective captions “Normalized hoop stress around the boundary of the hole” and “Normalized σθ for locations in Fig. 15” of the original manuscript Lin, S-J., Matthys, D. R., Quinn, S., Davidson J.P., Boyce, B. R., Khaja, A. A. and Rowlands, R. E. (2013). “Stresses at and in the neighborhood of a near-edge hole in a plate subjected to an off-set load from measured temperatures.” Eur. J. Mech. A. Solids, 39, 209–217]. Springer Science and Business Media kindly gave permission to reprint the present Figs. 9 and 11 [from Figs. 8 and 10 with respective captions captions “Normalized hoop stress, σθ/σo, at the hole boundary” and “Normalized σθ for locations in Fig. 9” of the original manuscript Lin, S. J., Quinn, S., Matthys, D. R., New, A. M, Kincaid, I. M., Boyce, B. R., Khaja, A. A. and Rowlands, R. E. (2011). “Thermoelastic determination of individual stresses in vicinity of a near-edge hole beneath a concentrated load.” Exp. Mech., 51(6), 797–814].

References

ANSYS [Computer software]. Canonsburg, PA, ANSYS.
Greene, R. J., Patterson, E. A., and Rowlands, R. E. (2008). “Thermoelastic stress analysis.” Chapter 26, Handbook of experimental solid mechanics, W. M. Sharpe, ed., Springer, New York.
Khaja, A. A. (2012). “Experimentally determined full-field stress, strain and displacement analyses.” Ph.D. thesis, Univ. of Wisconsin–Madison, WI.
Khaja, A. A., Matthys, D. R., and Rowlands, R. E. (2014). “Determining all displacements, strains and stresses full-field from measured values of a single displacement component.” Exp. Mech., 54(3), 443–455.
Lin, S.-J. (2007). “Two- and three-dimensional hybrid photomechanical-numerical stress analysis.” Ph.D. thesis, Univ. of Wisconsin–Madison, WI.
Lin, S.-J., et al. (2013). “Determining individual stresses at and around a near-edge hole in a plate subjected to an off-set load from measured temperatures.” Eur. J. Mech. A. Solids, 39, 209–217.
Lin, S. J., et al. (2011). “Thermoelastic determination of individual stresses in vicinity of a near-edge hole beneath a concentrated load.” Exp. Mech., 51(6), 797–814.
Paneerselvam, S. (2014). “Full-field stress analysis of perforated asymmetrical structures from recorded values of a single displacement component.” M.S. thesis, Univ. of Wisconsin–Madison, WI.
Samad, W. A., and Rowlands, R. E. (2014). “Full-field thermoelastic stress analysis of a finite structure containing an irregularly-shaped hole.” Exp. Mech., 54(3), 457–469.
Soutas-Little, R. W. (1999). Elasticity, Dover, Mineola, NY.

Information & Authors

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 141Issue 11November 2015

History

Received: Jun 24, 2014
Accepted: Dec 8, 2014
Published online: May 11, 2015
Discussion open until: Oct 11, 2015
Published in print: Nov 1, 2015

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Authors

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A. A. Khaja [email protected]
Applied Materials, Inc., Santa Clara, CA 95054 (corresponding author). E-mail: [email protected]
R. E. Rowlands [email protected]
Univ. of Wisconsin–Madison, WI 53706. E-mail: [email protected]

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