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Combining photoelasticity and finite-element methods for stress analysis using least squares

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Abstract

Photoelastic data are combined with the finite-element method for stress solutions over regions partially bounded by free surfaces and axes of symmetry. Least-squares solutions are obtained without presumed values of applied forces at element nodes and without isoclinic data. Varied example problems are used to compare the results to independent photoelastic and finite-element solutions and to theoretical stress values.

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References

  1. Berghaus, D.G., “Calculations for Experimental Stress Analysis Using the Personal Computer,”Soc. for Exp. Mech., Bethel, CT, 34–46 (1987).

    Google Scholar 

  2. Lukas, L., “Stress Separation in Photoelasticimetric Measurement by the Finite Element Method,” Proc. 4th Conf. on Dimensioning, Budapest, 355–365 (1971).

  3. Chambless, D., Suhling, J., Swinson, W.F., and Turner, J.L., “A New Hybrid Photoelastic-Finite Element Technique for Stress Analysis,” Proc. 1986 SEM Spring Conf. on Experimental Mechanics, 991–998 (June 1986).

  4. Martin, H.C. andCarey, G.F., “Introduction to Finite Element Analysis,”McGraw-Hill Book Co., New York, Chapt. 4 (1973).

    Google Scholar 

  5. Frocht, M.M., Photoelasticity, John Wiley & Sons, New York,1,175 (1966).

    Google Scholar 

  6. Berghaus, D.G., “Overdetermined Photoelastic Solutions Using Least-Squares,”Experimental Mechanics,13 (3),97–104 (1973).

    Google Scholar 

  7. Frocht, M.M., Photoelasticity, John Wiley & Sons, New York,II,131–134 (1967).

    Google Scholar 

  8. Brown, D.K., An Introduction to the Finite Element Method Using Basic Programs, Surrey Univ. Press, Chapman and Hall, New York (1984).

    Google Scholar 

  9. Martin, H.C. andCarey, G.F., op. cit., “.

    Google Scholar 

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Berghaus, D.G. Combining photoelasticity and finite-element methods for stress analysis using least squares. Experimental Mechanics 31, 36–41 (1991). https://doi.org/10.1007/BF02325721

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  • DOI: https://doi.org/10.1007/BF02325721

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