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Sufficient conditions for continuous dependence in nonlinear hyperelasticity

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Abstract

Sufficient conditions are derived for the continuous dependence of C 1-solutions of the mixed boundary value problem (with dead loading) upon the given data, within the framework of nonlinear hyperelasticity.

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References

  1. Aron, M., A continuous dependence result for a mixed boundary value problem in finite elastostatics Acta Mechanica 32 (1979) 205–208.

    Google Scholar 

  2. Antman, S., Ordinary differential equations of non-linear elasticity I: Foundations of the theories of non-linearly elastic rods and shells. Archive for Rational Mechanics and Analysis 61 (1976) 307–351.

    Google Scholar 

  3. Ball, J. M., Convexity conditions and existence theorems in nonlinear elasticity. Archive for Rational Mechanics and Analysis 63 (1977) 337–403.

    Google Scholar 

  4. Ball, J. M., Constitutive inequalities and existence theorems in nonlinear elastostatics. Nonlinear Analysis and Mechanics, Symposium held at Heriot-Watt University, Vol. 1, Pitman 1978.

  5. Gurtin, M. E. and Spector, S. J., On stability and uniqueness in finite elasticity. Archive for Rational Mechanics and Analysis 70 (1979) 153–165.

    Article  Google Scholar 

  6. Fichera, G., Lectures on Elliptic Differential Systems and Eigenvalue Problems. Springer, Berlin 1965.

    Google Scholar 

  7. Villaggio, P., Energetic bounds in finite elasticity. Archive for Rational Mechanics and Analysis 45 (1972) 282–293.

    Article  Google Scholar 

  8. Aron, M. and Roseman, J. J., Integral estimates for the displacement and strain energy in nonlinear elasticity. International Journal of Engineering Science 15 (1977) 317–322.

    Article  Google Scholar 

  9. Morrey, C. B., Multiple Integrals in the Calculus of Variations. Springer, Berlin 1966.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tel Aviv University, Ramat-Aviv, Tel Aviv, Israel

    Shlomo Breuer & Marian Aron

Authors
  1. Shlomo Breuer
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  2. Marian Aron
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Additional information

The second author was a visitor at the Department of Mathematics, University of Strathclyde, Glasgow, Scotland, at the time that the revised version was prepared. Author's present address: Department of Mathematics, Plymouth Polytechnic, Plymouth, England.

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Breuer, S., Aron, M. Sufficient conditions for continuous dependence in nonlinear hyperelasticity. J Elasticity 12, 161–166 (1982). https://doi.org/10.1007/BF00042212

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  • DOI: https://doi.org/10.1007/BF00042212

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