A closed-form structural model of planar fibrous tissue mechanics

Ramesh Raghupathy, Victor H. Barocas

Research output: Contribution to journalArticlepeer-review

51 Scopus citations


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
Issue number10
StatePublished - Jul 22 2009

Bibliographical note

Funding Information:
The author thanks Choon-Sik Jhun for providing the data analyzed in this paper and Prof. Henryk Stolarkski for his assistance in the implementation of the code. This work was supported by the National Institutes of Health (R01EB005813, R01HL071538) and by a resources grant from the Minnesota Supercomputing Institute.


  • Soft-tissue mechanics


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