A microstructural model for the elastic response of articular cartilage

Research output: Contribution to journalArticle

58 Citations (Scopus)

Abstract

A model of articular cartilage is developed in which the continuum stiffness tensor is related to the tissue's microstructure. The model consists of bilinear elastic fibers embedded in an elastic matrix. Homogenization techniques are used to relate this level of organization to the macroscopic response of the tissue. The model includes the effects of spatial orientation of fibers, pre-stress in the fibers and matrix resulting from matrix swelling, slipping at the interface between the fibers and the matrix, fiber buckling in compression, and deformation-induced fiber reorientation. The model predicts increased axial stiffness with increasing stretch due to fiber reorientation, reduced axial and shear stiffness with slipping between fiber and matrix and a sensitivity of the tissue response to the swelling pressure in the matrix, the matrix modulus and the bonding of the fiber matrix interface.

Original languageEnglish (US)
Pages (from-to)865-873
Number of pages9
JournalJournal of Biomechanics
Volume27
Issue number7
DOIs
StatePublished - Jan 1 1994

Fingerprint

Cartilage
Articular Cartilage
Fibers
Stress Fibers
Elastic Tissue
Stiffness
Tissue
Pressure
Swelling
Buckling
Tensors
Compaction
Microstructure

Cite this

A microstructural model for the elastic response of articular cartilage. / Schwartz, Michael H; Leo, Perry H; Lewis, Jack L.

In: Journal of Biomechanics, Vol. 27, No. 7, 01.01.1994, p. 865-873.

Research output: Contribution to journalArticle

@article{1bc2c7d4c84b47259fbb46a172ba5656,
title = "A microstructural model for the elastic response of articular cartilage",
abstract = "A model of articular cartilage is developed in which the continuum stiffness tensor is related to the tissue's microstructure. The model consists of bilinear elastic fibers embedded in an elastic matrix. Homogenization techniques are used to relate this level of organization to the macroscopic response of the tissue. The model includes the effects of spatial orientation of fibers, pre-stress in the fibers and matrix resulting from matrix swelling, slipping at the interface between the fibers and the matrix, fiber buckling in compression, and deformation-induced fiber reorientation. The model predicts increased axial stiffness with increasing stretch due to fiber reorientation, reduced axial and shear stiffness with slipping between fiber and matrix and a sensitivity of the tissue response to the swelling pressure in the matrix, the matrix modulus and the bonding of the fiber matrix interface.",
author = "Schwartz, {Michael H} and Leo, {Perry H} and Lewis, {Jack L}",
year = "1994",
month = "1",
day = "1",
doi = "10.1016/0021-9290(94)90259-3",
language = "English (US)",
volume = "27",
pages = "865--873",
journal = "Journal of Biomechanics",
issn = "0021-9290",
publisher = "Elsevier Limited",
number = "7",

}

TY - JOUR

T1 - A microstructural model for the elastic response of articular cartilage

AU - Schwartz, Michael H

AU - Leo, Perry H

AU - Lewis, Jack L

PY - 1994/1/1

Y1 - 1994/1/1

N2 - A model of articular cartilage is developed in which the continuum stiffness tensor is related to the tissue's microstructure. The model consists of bilinear elastic fibers embedded in an elastic matrix. Homogenization techniques are used to relate this level of organization to the macroscopic response of the tissue. The model includes the effects of spatial orientation of fibers, pre-stress in the fibers and matrix resulting from matrix swelling, slipping at the interface between the fibers and the matrix, fiber buckling in compression, and deformation-induced fiber reorientation. The model predicts increased axial stiffness with increasing stretch due to fiber reorientation, reduced axial and shear stiffness with slipping between fiber and matrix and a sensitivity of the tissue response to the swelling pressure in the matrix, the matrix modulus and the bonding of the fiber matrix interface.

AB - A model of articular cartilage is developed in which the continuum stiffness tensor is related to the tissue's microstructure. The model consists of bilinear elastic fibers embedded in an elastic matrix. Homogenization techniques are used to relate this level of organization to the macroscopic response of the tissue. The model includes the effects of spatial orientation of fibers, pre-stress in the fibers and matrix resulting from matrix swelling, slipping at the interface between the fibers and the matrix, fiber buckling in compression, and deformation-induced fiber reorientation. The model predicts increased axial stiffness with increasing stretch due to fiber reorientation, reduced axial and shear stiffness with slipping between fiber and matrix and a sensitivity of the tissue response to the swelling pressure in the matrix, the matrix modulus and the bonding of the fiber matrix interface.

UR - http://www.scopus.com/inward/record.url?scp=0028472594&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028472594&partnerID=8YFLogxK

U2 - 10.1016/0021-9290(94)90259-3

DO - 10.1016/0021-9290(94)90259-3

M3 - Article

C2 - 8063837

AN - SCOPUS:0028472594

VL - 27

SP - 865

EP - 873

JO - Journal of Biomechanics

JF - Journal of Biomechanics

SN - 0021-9290

IS - 7

ER -