Three-dimensional deformation and stress distribution of the anterior cruciate ligament in the knee (Results of model analyses and visual simulation)

Shunji Hirokawa, Reiji Tsuruno

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper describes a new structurally-motivated phenomenological approach. Such assumption was made that the ACL can be idealized as being composed of a homogeneous matrix in which two non-interacting families of densely distributed extensible fibers are embedded. Then a constitutive equation for the ACL composite was formulated. Using the finite element method, the visual simulations were performed in terms of three-dimensional change in shape, stress distribution and intraligaments' stresses, as a function of knee angle. Variations in stress due to tibial anterior-posterior displacements were also introduced. All the results were compared and discussed with the previous studies, thereby verifying the validity and usefulness of our model.

Original languageEnglish
Pages (from-to)957-965
Number of pages9
JournalJSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing
Volume43
Issue number4
DOIs
Publication statusPublished - Jan 1 2000

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Ligaments
Stress concentration
Constitutive equations
Finite element method
Fibers
Composite materials

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

Cite this

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AB - This paper describes a new structurally-motivated phenomenological approach. Such assumption was made that the ACL can be idealized as being composed of a homogeneous matrix in which two non-interacting families of densely distributed extensible fibers are embedded. Then a constitutive equation for the ACL composite was formulated. Using the finite element method, the visual simulations were performed in terms of three-dimensional change in shape, stress distribution and intraligaments' stresses, as a function of knee angle. Variations in stress due to tibial anterior-posterior displacements were also introduced. All the results were compared and discussed with the previous studies, thereby verifying the validity and usefulness of our model.

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