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On Extended Polar Decomposition

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Abstract

In this study, we considered the extended polar decomposition using a more general approach than the one provided by Boulanger and Hayes [Int. J. Non-Linear Mech. 36 (2001) 399–420]. We showed that the procedure of the decomposition could be simplified by considering its rotation tensor. Our method is illustrated by examples.

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References

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

    Article  MATH  MathSciNet  Google Scholar 

  2. Ph. Boulanger and M. Hayes, Unsheared triads and extended polar decomposition of the deformation gradient. Int. J. Non-Linear Mech. 36 (2001) 399–420.

    Article  MATH  MathSciNet  Google Scholar 

  3. C. Truesdell and R.A. Toupin, The classical field theories. In: S. Flügge (ed.), Handbuch der Physik, Vol. III/1. Springer, Berlin Heidelberg New York (1960), pp. 226–858.

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  4. C. Truesdell and W. Noll, The non-leaner field theories of mechanics. In: S. Flügge (ed.), Handbuch der Physik, Vol. III/3. Springer, Berlin Heidelberg New York (1965).

    Google Scholar 

  5. M. Hayes, Special circles in mechanics. Int. J. Solids Struct. 29 (1992) 1781–1788.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Belgrade, Belgrade, Serbia and Montenegro

    Jovo Jarić

  2. Department of Biomedical Engineering, Boston University, 44 Cummington Street, Boston, MA, 02215, USA

    Dimitrije Stamenović

  3. Faculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia and Montenegro

    Vladan D. Djordjević

Authors
  1. Jovo Jarić
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  2. Dimitrije Stamenović
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  3. Vladan D. Djordjević
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Correspondence to Dimitrije Stamenović.

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Jarić, J., Stamenović, D. & Djordjević, V.D. On Extended Polar Decomposition. J Elasticity 83, 277–289 (2006). https://doi.org/10.1007/s10659-005-9045-x

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  • DOI: https://doi.org/10.1007/s10659-005-9045-x

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