Medical & Biological Engineering & Computing

, Volume 50, Issue 10, pp 1071–1079

Finite element modeling of mitral leaflet tissue using a layered shell approximation

  • Jonathan F. Wenk
  • Mark B. Ratcliffe
  • Julius M. Guccione
Original Article

DOI: 10.1007/s11517-012-0952-2

Cite this article as:
Wenk, J.F., Ratcliffe, M.B. & Guccione, J.M. Med Biol Eng Comput (2012) 50: 1071. doi:10.1007/s11517-012-0952-2

Abstract

The current study presents a finite element model of mitral leaflet tissue, which incorporates the anisotropic material response and approximates the layered structure. First, continuum mechanics and the theory of layered composites are used to develop an analytical representation of membrane stress in the leaflet material. This is done with an existing anisotropic constitutive law from literature. Then, the concept is implemented in a finite element (FE) model by overlapping and merging two layers of transversely isotropic membrane elements in LS-DYNA, which homogenizes the response. The FE model is then used to simulate various biaxial extension tests and out-of-plane pressure loading. Both the analytical and FE model show good agreement with experimental biaxial extension data, and show good mutual agreement. This confirms that the layered composite approximation presented in the current study is able to capture the exponential stiffening seen in both the circumferential and radial directions of mitral leaflets.

Keywords

Finite element modeling Mitral leaflet mechanics Constitutive modeling 

Copyright information

© International Federation for Medical and Biological Engineering 2012

Authors and Affiliations

  • Jonathan F. Wenk
    • 1
    • 2
  • Mark B. Ratcliffe
    • 3
    • 4
    • 5
  • Julius M. Guccione
    • 3
    • 4
    • 5
  1. 1.Department of Mechanical EngineeringUniversity of KentuckyLexingtonUSA
  2. 2.Department of SurgeryUniversity of KentuckyLexingtonUSA
  3. 3.Department of SurgeryUniversity of CaliforniaSan FranciscoUSA
  4. 4.Department of BioengineeringUniversity of CaliforniaSan FranciscoUSA
  5. 5.Department of Veterans Affairs Medical CenterSan FranciscoUSA