Tags

Type your tag names separated by a space and hit enter

A large-strain finite element formulation for biological tissues with application to mitral valve leaflet tissue mechanics.
J Biomech. 2006; 39(8):1557-61.JB

Abstract

This paper presents a finite element formulation suitable for large-strain modeling of biological tissues and uses this formulation to implement an accurate finite element model for mitral valve leaflet tissue. First, an experimentally derived strain energy function is obtained from literature. This function is implemented in finite elements using the mixed pressure-displacement formulation. A modification is made to aid in maintaining positive definiteness of the stiffness matrix at low strains. The numerical implementation is shown to be accurate in representing the analytical model of material behavior. The mixed formulation is useful for modeling of soft biological tissues in general, and the model presented here is applicable to finite element simulation of mitral valve mechanics.

Authors+Show Affiliations

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA.No affiliation info available

Pub Type(s)

Journal Article

Language

eng

PubMed ID

16038913

Citation

Weinberg, Eli J., and Mohammad R. Kaazempur-Mofrad. "A Large-strain Finite Element Formulation for Biological Tissues With Application to Mitral Valve Leaflet Tissue Mechanics." Journal of Biomechanics, vol. 39, no. 8, 2006, pp. 1557-61.
Weinberg EJ, Kaazempur-Mofrad MR. A large-strain finite element formulation for biological tissues with application to mitral valve leaflet tissue mechanics. J Biomech. 2006;39(8):1557-61.
Weinberg, E. J., & Kaazempur-Mofrad, M. R. (2006). A large-strain finite element formulation for biological tissues with application to mitral valve leaflet tissue mechanics. Journal of Biomechanics, 39(8), 1557-61.
Weinberg EJ, Kaazempur-Mofrad MR. A Large-strain Finite Element Formulation for Biological Tissues With Application to Mitral Valve Leaflet Tissue Mechanics. J Biomech. 2006;39(8):1557-61. PubMed PMID: 16038913.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - A large-strain finite element formulation for biological tissues with application to mitral valve leaflet tissue mechanics. AU - Weinberg,Eli J, AU - Kaazempur-Mofrad,Mohammad R, Y1 - 2005/07/21/ PY - 2004/10/27/received PY - 2005/04/26/accepted PY - 2005/7/26/pubmed PY - 2006/10/26/medline PY - 2005/7/26/entrez SP - 1557 EP - 61 JF - Journal of biomechanics JO - J Biomech VL - 39 IS - 8 N2 - This paper presents a finite element formulation suitable for large-strain modeling of biological tissues and uses this formulation to implement an accurate finite element model for mitral valve leaflet tissue. First, an experimentally derived strain energy function is obtained from literature. This function is implemented in finite elements using the mixed pressure-displacement formulation. A modification is made to aid in maintaining positive definiteness of the stiffness matrix at low strains. The numerical implementation is shown to be accurate in representing the analytical model of material behavior. The mixed formulation is useful for modeling of soft biological tissues in general, and the model presented here is applicable to finite element simulation of mitral valve mechanics. SN - 0021-9290 UR - https://www.unboundmedicine.com/medline/citation/16038913/A_large_strain_finite_element_formulation_for_biological_tissues_with_application_to_mitral_valve_leaflet_tissue_mechanics_ L2 - https://linkinghub.elsevier.com/retrieve/pii/S0021-9290(05)00200-9 DB - PRIME DP - Unbound Medicine ER -