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Energetic bounds in finite elasticity

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Summary

We study the conditions under which the internal work of deformation in an elastic isotropic body in finite deformations may be bounded by results obtained from a suitably defined linear infinitesimal problem. The values of the constants appearing in the principal inequalities are calculated and discussed for a certain class of extensional deformations.

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Communicated by C. Truesdell

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Villaggio, P. Energetic bounds in finite elasticity. Arch. Rational Mech. Anal. 45, 282–293 (1972). https://doi.org/10.1007/BF00251377

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  • DOI: https://doi.org/10.1007/BF00251377

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