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A closed-form structural model of planar fibrous tissue mechanics.

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.

SUBMITTER: Raghupathy R

PROVIDER: S-EPMC2707510 | biostudies-literature | 2009 Jul

REPOSITORIES: biostudies-literature

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A closed-form structural model of planar fibrous tissue mechanics.

Raghupathy Ramesh R Barocas Victor H VH

Journal of biomechanics 20090519 10

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 simu ...[more]

PMID: 19457487

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