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Symmetry properties of the reciprocity gap functional in the linear elasticity

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Abstract

The reciprocity gap functional for a linear elastic body with an embedded defect is considered. The functional is a bilinear functional depending on two stress states—in an elastic body with a defect and without it. It is shown that for various types of boundary conditions the functional is a symmetric one in a certain sense. Some corollaries of the symmetry properties of the functional are obtained.

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Authors and Affiliations

  1. A. Yu. Ishlinski Institute for Problems in Mechanics RAS, Prosp. Vernadskogo 101-1, Moscow, 119526, Russia

    Efim I. Shifrin

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  1. Efim I. Shifrin
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Correspondence to Efim I. Shifrin.

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Shifrin, E.I. Symmetry properties of the reciprocity gap functional in the linear elasticity. Int J Fract 159, 209–218 (2009). https://doi.org/10.1007/s10704-009-9395-7

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  • DOI: https://doi.org/10.1007/s10704-009-9395-7

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