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An integral bound for the strain energy in nonlinear elasticity in terms of the boundary displacements

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Abstract

For the displacement boundary value problem in nonlinear elastostatics with zero body force, an integral bound for the strain energy is obtained in terms of theL 2-norms of the given boundary displacements and their tangential derivatives (assumed sufficiently small). The constants involved depend upon the strain energy density function and upon the geometry of the domain.

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Authors and Affiliations

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

    Shlomo Breuer & Joseph J. Roseman

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  1. Shlomo Breuer
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  2. Joseph J. Roseman
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Breuer, S., Roseman, J.J. An integral bound for the strain energy in nonlinear elasticity in terms of the boundary displacements. J Elasticity 9, 21–27 (1979). https://doi.org/10.1007/BF00040977

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  • DOI: https://doi.org/10.1007/BF00040977

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