A single integral finite strain viscoelastic model of ligaments and tendons

Johnson, G. A.; Livesay, G. A.; Woo, S. L-Y.; Rajagopal, K. R.

Affiliations

¹Musculoskeletal Research Center, Department of Orthopaedic Surgery, University of Pittsburgh, Pittsburgh, PA 15261

²Musculoskeletal Research Department of Orthopaedic Surgery, University of Pittsburgh, Pittsburgh, PA 15261

³Musculoskeletal Research Center, Departments of Orthopaedic Surgery and Mechanical Engineering, University of Pittsburgh, Pittsburgh, PA 15261

⁴Departments of Mechanical Engineering and Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA 15261

Abstract

A general continuum model for the nonlinear viscoelastic behavior of soft biological tissues was formulated. This single integral finite strain (SIFS) model describes finite deformation of a nonlinearly viscoelastic material within the context of a three-dimensional model. The specific form describing uniaxial extension was obtained, and the idea of conversion from one material to another (at a microscopic level) was then introduced to model the nonlinear behavior of ligaments and tendons. Conversion allowed different constitutive equations to be used for describing a single ligament or tendon at different strain levels. The model was applied to data from uniaxial extension of younger and older human patellar tendons and canine medial collateral ligaments. Model parameters were determined from curve-fitting stress-strain and stress-relaxation data and used to predict the time-dependent stress generated by cyclic extensions.

Links

DOI: 10.1115/1.2795963

PubMed: 8738788

WoS: A1996UM40800012

History

Received: 1994-03-15

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