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Unification of FEM with Laser Experimentation

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Optical Metrology

Part of the book series: NATO ASI Series ((NSSE,volume 131))

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Abstract

Unification of finite element methods with laser experimentation is presented. It is pointed out that most engineering problems contain regions in which finite element modeling encounters difficulties due to nonlinearities, irregular boundaries, ambiguous energy functionals, etc. Measurements obtained by laser experimentation, particularly in these regions, can be digitized and automatically incorporated into the finite element modeling to improve results. Unification is possible in solid mechanics, fluid mechanics, gas dynamics, heat transfer, and in an everincreasing number of other fields.

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References

  1. Babuska, I., and Rheinboldt, N. C., Computational aspects of the finite element method, in: Mathematical Software, Vol. III(Academic Press, New York, 1977 ).

    Google Scholar 

  2. Babuska, I., and Rheinboldt, W. C., A posteriori error estimates for the finite element method, Int. J. Num. Meth. Engr., 12 (1978) 1597–1615.

    Article  MATH  Google Scholar 

  3. Babuska, I., and Rheinboldt, N. C., Reliable error estimation and mesh adaptation for the finite element method, in: Oden, J. T. (ed.), Computational Methods in Nonlinear Mechanics (1980) 67–108.

    Google Scholar 

  4. Dandliker, R., Marom, E., and Mottier, F. M., Two-reference beam holographic interferometry, J. Opt. Soc. Am., 66 (1976) 23–30.

    Article  ADS  Google Scholar 

  5. Kardestuncer, H., Tensors in discrete mechanics, Tensor Quarterly - TSGB, 20 (1969) 1–9.

    Google Scholar 

  6. Kardestuncer, H., Deserete Mechanics: A Unified Approach Springer-Verlag, Vienna, 1975 ).

    Google Scholar 

  7. Kardestuncer, H., Proceedings of the UFEM Symposium Series (University of Connecticut, Storrs, CT, 1978, 1979, 1980, 1982 ).

    Google Scholar 

  8. Kardestuncer, H., Tensors versus matrices in discrete mechanics, in: Branin, F. H., Jr., and Huseyin, K. (eds.), Problem Analysis in Science and Engineering ( Academic Press, New York, 1977 ).

    Google Scholar 

  9. Kelly, D. W., de Gago, J. P., Zienkiewicz, O. C., and Babuskar I., A posteriori error analysis and adaptive processes in the finite element methods Part I - Error analysis. Part II - Adaptive mesh refinement, Int. J. Num. Meth. Engr., 19 (1983) 1593–1619.

    Google Scholar 

  10. Melosh, R. J., and Utku, S., Efficient finite element analysis, to appear ins Kardestuncer, H. (ed.), Finite Element Handbook (McGraw-Hill, New York).

    Google Scholar 

  11. Peano, A. G., Pasini, A., Riccioni, R., and Sardella, L., Adaptive approximation in finite element structural analysis, Comp. & Struct., 10 (1979) 332–342.

    Article  Google Scholar 

  12. Pryputniewicz, R. J., Laser Holography ( Worcester Polytechnic Institute, Worcester, MA, 1979 ).

    Google Scholar 

  13. Pryputniewicz, R. J., State-of-the-art in hologrammetry and related fields, Internat. Arch. Photogram., 23 (1980a) 620–629.

    Google Scholar 

  14. Pryputniewicz, R. J., Projection matrices in specklegraphic analysis, SPIE, 243 (1980b) 158–164.

    Google Scholar 

  15. Pryputniewicz, R. J., Unification of FEM modeling with laser experimentation, ins Kardestuncer, H. (ed.), Finite Elements - Finite Differences and Calculus of Variations, ( University of Connecticut, Storrs, CT, 1982a ).

    Google Scholar 

  16. Pryputniewicz, R. J., High precision hologrammetry, Internat. Arch. Photogram., 24 (1982b) 377–386.

    Google Scholar 

  17. Pryputniewicz, R. J., Quantitative interpretation of time-average holograms in vibration analysis, in print.

    Google Scholar 

  18. Pryputniewicz, R. J., and Stetson, K. A., Holographic strain analysis: extension of fringe-vector method to include perspective, Appl. Opt. 15 (1976) 725–728.

    Article  ADS  Google Scholar 

  19. Pryputniewicz, R. J., and Stetson, K. A., Fundamentals and Applications of Laser Speckle and Hologram Interferometry ( Worcester Polytechnic Institute, Worcester, MA, 1980 ).

    Google Scholar 

  20. Schuman, W., and Dubas, M., Holographic Interferometry ( Springer-Verlag, Berlin, 1979 ).

    Google Scholar 

  21. Smith, H. M., Holographic Recording Materials ( Springer-Verlag, Berlin, 1977 ).

    Google Scholar 

  22. Stetson, K. A., Miscellaneous topics in speckle metrology, ins Erf, R. K. (ed.), Speckle Metrology ( Academic Press, New York, 1978 ).

    Google Scholar 

  23. Stetson, K. A., The use of projection matrices in hologram interferometry, J. Opt. Soc. Am., 69 (1979) 1705–1710.

    Article  ADS  Google Scholar 

  24. Szabo, B. A., and Mehta, A. U., P-convergence finite element approximations in fracture mechanics, Int. J. Num. Meth. Engr., 12 (1978) 551–560.

    Article  MATH  Google Scholar 

  25. Utku, S., and Melosh, R. J., Solution errors in finite element analysis, Comp. & Struct., 18 (1984) 379–393.

    Article  MathSciNet  MATH  Google Scholar 

  26. Vest, C. M., Holographic Interferometry ( Wiley, New York, 1978 ).

    Google Scholar 

  27. Zienkiewicz, O. C., Kelly, D. W., and Bettess, P., The coupling of the finite element method and boundary solution procedures, Int. J. Num. Meth. Engr., 11 (1977) 355–373.

    Article  MathSciNet  Google Scholar 

  28. Zienkiewicz, O. C., Kelly, D. W., and Bettess, P., Marriage a la mode - the best of both worlds (Finite elements and boundary integrals) in: Glowinski, R., Rodin, E. Y., and Zienkiewicz, 0. C. (eds.), Energy Methods in Finite Element Methods, Ch. 5 ( John Wiley, New York, 1980 ).

    Google Scholar 

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© 1987 Martinus Nijhoff Publishers, Dordrecht

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Kardestuncer, H., Pryputniewicz, R.J. (1987). Unification of FEM with Laser Experimentation. In: Soares, O.D.D. (eds) Optical Metrology. NATO ASI Series, vol 131. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3609-6_25

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  • DOI: https://doi.org/10.1007/978-94-009-3609-6_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8115-3

  • Online ISBN: 978-94-009-3609-6

  • eBook Packages: Springer Book Archive

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