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Using Airy Function to Thermoelastically Separate Stresses in a Central Circularly Perforated Plate

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Abstract:

Thermoelastic Stress Analysis (TSA) information is proportional to the change in the sum of the principal stresses. Since one often has to know the magnitude of individual stresses, additional experimental methods or data are frequently required to ‘separate the stresses’. This paper demonstrates the ability to evaluate individual stresses in a uniaxially-loaded finite plate with a central circular hole from TSA-recorded information without supplementary experimental data. Measured temperatures are combined with an Airy stress function and some limited traction-free conditions. The present technique does not presuppose knowing the external geometry or boundary conditions, overcomes traditional difficulties of unreliable edge data, and reduces the number of coefficients needed by satisfying the traction-free conditions analytically on the edge of the hole. Attention is paid to determining an appropriate number of the real (not complex) Airy coefficients.

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Periodical:

Applied Mechanics and Materials (Volumes 7-8)

Pages:

63-72

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.7-8.63

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Cite this paper

Online since:

August 2007

Authors:

S.J. Lin, Don R. Matthys, R.E. Rowlands

Keywords:

Holes, Individual Stresses, Isopachics, Stress Analysis, Stress Separation, Thermoelasticity

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© 2007 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] B. E. Foust and R. E. Rowlands, Inverse Stress Analysis of Diametrally-Loaded Disk by Hybridizing Thermoelasticity and Airy Stress Function, ICEM-12, Bari, Italy (2004).

Google Scholar

[2] R. W. Soutas-Little, Elasticity, Dover Publications, Inc., Mineola, New York (1998).

Google Scholar

[3] R. E. Peterson, Stress Concentration Factors, Wiley Interscience (1974).

Google Scholar

[4] J. W. Dally and W. F. Riley, W. F., Experimental Stress Analysis, 4th edition, College House Enterprises (2005).

Google Scholar

[5] R. Chona, The Stress Field Surrounding the Tip of a Crack Propagating in a Finite Body, Ph.D. Thesis, University of Maryland (1987).

Google Scholar

[6] Y. M. Huang, R. E. Rowlands and J. R. Lesniak, Simultaneous Stress Separation, Smoothing of Measured Thermoelastic Isopachic Information and Enhanced Boundary Data, Experimental Mechanics, 30(4), 398-403 (1990).

DOI: 10.1007/bf02321511

Google Scholar

[7] S. T. Lin and R. E. Rowlands, Thermoelastic Stress Analysis of Orthotropic Composites, Experimental Mechanics, 35, 257-265 (1995).

DOI: 10.1007/bf02319666

Google Scholar

[8] Y. Y. Ni and R. E. Rowlands, Thermoelastically-Measured Isopachics and BEM for Inverse Stress Analysis on and Adjacent to Loaded and Traction-free Boundaries., Symposium in honor of Prof. J. W. Dally, 14th US National Congress of Theoretical and Applied Mechanics, VPI, Blacksburg (2002).

Google Scholar