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Finite rotation and strain measurement using the moiré technique

The eulerian and lagrangian state of strain, including body rotation, is presented for finite strain fields and large rotation

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Abstract

The moiré-interference technique for obtaining the two-dimensional displacement field is well known. However, interpretation of the interference fringes to obtain a measure of finite rotation and a tensorial description of finite strain has not been given. This paper presents the analysis for obtaining large rotation and strain within the vicinity of a material point from data contained in moiré photographs of displacement fields. No approximations are made limiting the magnitude of rotation or strain. The Eulerian state of strain obtained from moiré data is related to the Lagrangian description.

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References

  1. Meyer, M. L., “Interpretation of Surface-strain Measurements in Terms of Finite Homogeneous Strains,”Experimental Mechanics,3 (12)294–301 (1963).

    Article  Google Scholar 

  2. Parks, V. J., andDurelli, A. J., “Various Forms of the Strain-displacement Relations Applied to Experimental Strain Analysis,”Ibid.,,4 (2),37–47 (1964).

    Article  Google Scholar 

  3. Sciammarella, C. A., and Durelli, A. J., “Moiré Fringes as a Means of Analyzing Strain,” Trans., ASCE,127 (1962).

  4. Durelli, A. J., Sciammarella, C. A., and Parks, V. J., “Interpretation of Moiré Patterns,” Jnl. Eng. Mech. Div., ASCE,89,EM2 (April 1963).

  5. Morse, S., Durelli, A. J., and Sciammarella, C. A., “Geometry of Moiré Fringes in Strain Analysis,” Jnl. Mech. Div., Proc. ASCE, Paper 2576 (August 1960).

  6. Truesdell, C., “The Mechanical Foundation of Elasticity and Fluid Dynamics,”Jnl. Ratnl. Mech. Anal.,1,125–171 (1952).

    MATH  MathSciNet  Google Scholar 

  7. Cauchy, A. L., “Sur la Condensation et la Dilatation des Corps Solides,” Exercices de Mathematiques, 1827, Reprinted in Cauchy Ceuvres Completes (1855).

  8. Prager, W., “Introduction to Mechanics of Continua,”Ginn and Company, New York (1961).

    Google Scholar 

  9. Duffey, H. J., “Finite Strain Geometry and Moiré Measurements,”Doctoral Dissertation, Sever Institute of Technology, Washington University, St. Louis, Mo. (June 1965).

    Google Scholar 

  10. Abir, D., Ollendorff, F., and Reiner, M., “Topics in Applied Mechanics,” 287–298 (1965).

  11. Green, G., “On the Propagation of Light in Crystallized Media,” Trans. Cambridge Philosophical Society, 1839, reprinted in “Mathematical Papers of the Late George Green” (1903).

  12. Post, D., “The Moiré Grid-analyzer Method for Strain Analysis,”Experimental Mechanics,5 (11),368–377 (1965).

    Article  Google Scholar 

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Authors and Affiliations

  1. Washington University, St. Louis, Mo

    H. J. Duffey (Assistant Professor of Structures and Applied Mechanics) & G. K. Mesmer (Professor of Applied Mechanics)

Authors
  1. H. J. Duffey
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  2. G. K. Mesmer
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Duffey, H.J., Mesmer, G.K. Finite rotation and strain measurement using the moiré technique. Experimental Mechanics 7, 537–540 (1967). https://doi.org/10.1007/BF02326330

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  • DOI: https://doi.org/10.1007/BF02326330

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