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The eversion of thick spherical shells

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References

  • Antman, S.S., Existence and nonuniqueness of axisymmetric equilibrium states of nonlinearly elastic shells. Arch. Rational Mech. Anal. 40, 329–371 (1971).

    Google Scholar 

  • Antman, S.S., Ordinary differential equations of nonlinear elasticity. Arch. Rational Mech. Anal. 61, 307–393 (1976).

    Google Scholar 

  • Antman, S.S., A family of semi-inverse problems of nonlinear elasticity, Contemporary Developments in Continuum Mechanics and Partial Differential Equations. Amsterdam: North Holland 1978, 1–24.

    Google Scholar 

  • Antman, S.S., & H. Brezis, The existence of orientation-preserving deformations in nonlinear elasticity, Nonlinear Analysis and Mechanics, vol. 2, edited by R.J. Knops. London: Pitman 1978, 1–29.

    Google Scholar 

  • Brezis, H., Équations et inéquations non linéaires dans les espaces vectoriels en dualité. Ann. Inst. Fourier, 18, 115–175 (1968).

    Google Scholar 

  • Green, A.E., & J.E. Adkins, Large elastic deformations. Oxford: Clarendon Press 1960.

    Google Scholar 

  • Lions, J.-L., Quelques méthodes de résolution des problèmes aux limites non linéaires. Paris: Dunod 1969.

    Google Scholar 

  • Truesdell, C., Some challenges offered to analysis by rational thermodynamics, Contemporary Developments in Continuum Mechanics and Partial Differential Equations. Amsterdam: North Holland 1978, 495–603.

    Google Scholar 

  • Truesdell, C., & W. Noll, The nonlinear field theories of mechanics, Handbuch der Physik, Vol. III/3. Berlin-Heidelberg-New York: Springer 1965.

    Google Scholar 

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This paper is dedicated to Clifford Truesdell on the occasion of his sixtieth birthday

The research reported here was supported by National Science Foundation Grant MCS 77-03760.

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Antman, S.S. The eversion of thick spherical shells. Arch. Rational Mech. Anal. 70, 113–123 (1979). https://doi.org/10.1007/BF00250348

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  • DOI: https://doi.org/10.1007/BF00250348

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