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A Note on Maximum Shear

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Abstract

The problem of the determination at any point P in a body of that pair of infinitesimal material line elements which suffers the maximum shear in a deformation has been solved [1]. Here that problem is revisited and a short proof, of geometrical type, of the result is presented.

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References

  1. P. Boulanger and M. Hayes, On finite shear. Arch. Rational Mech. Anal. 151 (2000) 125–185.

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  2. C.A. Truesdell and R.A. Toupin, The Classical Field Theories, Handbuch der Physik III/1. Springer, Berlin (1960).

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  3. J.G. Ramsey and M.I. Huber, The Techniques of Modern Structural Geology, Vol. I. Academic Press, New York (1987).

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  4. M. Hayes, On strain and straining. Arch. Rational Mech. Anal. 100 (1988) 265–273.

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Authors and Affiliations

  1. Département de Mathématique, Université Libre de Bruxelles, Campus Plaine C.P. 218/1, 1050, Bruxelles, Belgium

    Ph. Boulanger

  2. Department of Mechanical Engineering, University College Dublin, Belfield, Dublin 4, Ireland

    M. Hayes

Authors
  1. Ph. Boulanger
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  2. M. Hayes
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Boulanger, P., Hayes, M. A Note on Maximum Shear. Journal of Elasticity 69, 215–222 (2002). https://doi.org/10.1023/A:1027353125896

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  • DOI: https://doi.org/10.1023/A:1027353125896

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