### Tuesday, 12 October 2004 - 10:30 AM

### This presentation is part of : Mechanics of Fiber Networks and Fibrous Materials

### Large deformations of fiber networks

**Eveline Baesu**, Minrong Zheng, and Doina Beljic. Department of Engineering Mechanics, University of Nebraska-Lincoln, W304 Nebraska Hall, Lincoln, NE 68588
We discuss elements of a theory for the description of the mechanical behavior of thin sheets and 3-D continua composed of perfectly flexible elastic fibers. In this model, the properties of the continuum can be inferred from those of each fiber family. The only constitutive input required by the theory is the one-dimensional elastic-plastic response of materials under simple tension. Sufficient conditions are given for the existence of an exact dual extremum principle and used to prove uniqueness of solution. Applications of this model to modeling and testing nanofiber sheets are discussed as well their applications to bio-mimetic materials, especially tissue scaffolds.

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