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A Note on Design of Fiber-Nets for Maximum Stiffness

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Abstract

For a specific fiber-net, the design variables are relative fiber density and fiber orientations. With a given amount of fibers, our objective is to maximize the stiffness (minimize the compliance) for a continuum subjected to a given load situation. Analytical optimality criteria are derived, and numerical optimization procedures are presented. Applications to a wedge problem from the literature, Royer-Carfagni (2000), and to a skew plate problem are shown, and the study includes the influence of a basic material to be reinforced. The procedure described can be combined with localized optimal design for density, orientation, and shape, “pointwise” or for design regions.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Nils Koppels Allé, Building 404, DK-2800, Kgs.Lyngby, Denmark

    Pauli Pedersen

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  1. Pauli Pedersen
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Pedersen, P. A Note on Design of Fiber-Nets for Maximum Stiffness. Journal of Elasticity 73, 127–145 (2003). https://doi.org/10.1023/B:ELAS.0000029958.69816.1d

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  • DOI: https://doi.org/10.1023/B:ELAS.0000029958.69816.1d

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