## Abstract

For the boundary value problem in finite elasticity in which nonzero tractions are given on a connected subdomain Γ of the boundary, the rest of the boundary is stress-free, and there are no body forces, a bound is obtained for the strain energy in terms of the L_{2} integral norm of the surface tractions with the constant involved depending only upon Γ and the material constants. The result is obtained in the context of finite elasticity under the assumptions that the unstressed body occupies a convex domain and the displacement gradients are sufficiently small. In the context of the linear theory, the same result is obtained without these assumptions.

Original language | English |
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Pages (from-to) | 11-22 |

Number of pages | 12 |

Journal | Journal of Elasticity |

Volume | 10 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1980 |