Integral bounds on the strain energy for the traction problem in finite elasticity |
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Authors: | Shlomo Breuer Joseph J Roseman |
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Institution: | (1) Department of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Tel-Aviv, Israel |
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Abstract: | For the traction boundary value problem in finite elasticity, a bound is obtained for the total strain energy in terms of the L2 integral norms of the surface tractions and body forces, under the assumptions that the unstressed body occupies a convex domain and the displacement gradients are sufficiently small.This is an extension of known results in linear (infinitesimal) elasticity into finite elasticity. |
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