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

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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:

Edited by:

J. Quinta da Fonseca

Pages:

63-72

Citation:

S.J. Lin et al., "Using Airy Function to Thermoelastically Separate Stresses in a Central Circularly Perforated Plate", Applied Mechanics and Materials, Vols. 7-8, pp. 63-72, 2007

Online since:

August 2007

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$38.00

[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).

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

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

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

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

[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: https://doi.org/10.1007/bf02321511

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

DOI: https://doi.org/10.1007/bf02319666

[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).

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