title: Mechanical response of an artery using a standard nonlinear solid.
abstract: BACKGROUND
  The stress and deformation in an artery are determined from an axisymmetric analysis of thick-walled cylinder with a time-dependent internal pressure. The purpose is to understand how different constitutive, loading, and geometric conditions affect the stress and deformation state within the artery.
  
  
  METHODS
  The equilibrium, compatibility, and constitutive equations are applied at N discretized points in the arterial wall, in an efficient scheme using Mathcad software on a desktop computer. The constitutive equations are a modification to a standard linear solid, so that one of the linear elements is nonlinear, and so that the 3-D response is anisotropic and dissipates energy only under deviatoric (shearing) stress states. Solution at each successive time increment requires inversion of a 6N by 6N matrix.
  
  
  RESULTS
  The model reproduces experimental stress relaxation data with a correlation coefficient of 0.985 and can reproduce quasi-static stress strain data with equal accuracy. Features such as conditioning of the tissue are understood in terms of the time-dependent properties of the tissue.
  
  
  CONCLUSIONS
  The program can produce transient and steady-state responses that closely mimic tissue response. The analysis allows for quick and stable determination of the stress and strain states for a variety of loading conditions.
authors.affiliation: Biomedical Engineering Center, Ohio State University, USA.
authors.forename: A I
authors.initials: AI
authors.lastname: Veress
authors.forename: P M
authors.initials: PM
authors.lastname: Anderson
authors.forename: J F
authors.initials: JF
authors.lastname: Cornhill
authors.forename: J D
authors.initials: JD
authors.lastname: Thomas
mesh_terms: D001158:Arteries / Q000502:physiology*; D001696:Biomechanical Phenomena; D003198:Computer Simulation; D008954:Models, Biological