title: 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.
authors.affiliation: Departments of Mechanical Engineering, University of Minnesota, Minneapolis, MN, United States.
authors.forename: Ramesh
authors.initials: R
authors.lastname: Raghupathy
authors.affiliation: Department of Biomedical Engineering, University of Minnesota, 7-105 Nils Hasselmo Hall, 312 Church Street SE, Minneapolis, MN 55455, United States. Electronic address: baroc001@umn.edu.
authors.forename: Victor H
authors.initials: VH
authors.lastname: Barocas
mesh_terms: D000818:Animals; D001696:Biomechanical Phenomena; D003094:Collagen / Q000502:physiology; D003238:Connective Tissue / Q000502:physiology*; D005347:Fibroblasts / Q000502:physiology; D006801:Humans; D008954:Models, Biological; D022502:Stress Fibers / Q000502:physiology; D023822:Tissue Engineering
chemical_list: D003094:Collagen