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Bounds on elastic energy in solids of orthotropic materials

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Abstract

Elastic energy is the measure for the overall stiffness/flexibility of a solid. For orthotropic materials, a combined finite element/optimization procedure is described, by which the orientation field of the most stiff/flexible solid can be determined. A study of these bounds for possible materials is performed and more general insight obtained. Recent analytical results from sensitivity analysis are applied and the paper also adds to theoretical aspects, such as proving coinciding directions for principal strains and principal stresses, even with different (but optimal) principal directions of the material.

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Authors and Affiliations

  1. Dept. of Solid Mechanics, The Technical University of Denmark, DK-2800, Lyngby, Denmark

    P. Pedersen

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  1. P. Pedersen
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Pedersen, P. Bounds on elastic energy in solids of orthotropic materials. Structural Optimization 2, 55–63 (1990). https://doi.org/10.1007/BF01743521

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  • DOI: https://doi.org/10.1007/BF01743521

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