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.
Original languageEnglish
JournalJournal of Elasticity
Volume73
Issue number1-3
Pages (from-to)127-145
ISSN0374-3535
DOIs
Publication statusPublished - Dec 2003

Keywords

  • design
  • fiber-net
  • optimal stiffness
  • orthotropic elasticity

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