A closed-form structural model of planar fibrous tissue mechanics

Ramesh Raghupathy, Victor H. Barocas

Research output: Contribution to journalArticlepeer-review

44 Scopus citations

Abstract

Structural models of tissue mechanics, in which the tissue is represented as a sum or integral of fiber contributions for a distribution of fiber orientations, are a popular tool to represent the complex mechanical behavior of soft tissues. A significant practical challenge, however, is evaluation of the integral that defines the stress. Numerical integration is accurate but computationally demanding, posing an impediment to incorporation of structural models into large-scale finite-element simulations. In this paper, a closed-form analytic evaluation of the integral is derived for fibers distributed according to a von Mises distribution and an exponential fiber stress-strain law.

Original languageEnglish (US)
Pages (from-to)1424-1428
Number of pages5
JournalJournal of Biomechanics
Volume42
Issue number10
DOIs
StatePublished - Jul 22 2009

Keywords

  • Soft-tissue mechanics

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