Tensile strip experiments of bovine corneas have shown that the tissue exhibits a nonlinear rate-dependent stress-strain response and a highly nonlinear creep response that depends on the applied hold stress. In this paper, we present a constitutive model for the finite deformation, anisotropic, nonlinear viscoelastic behavior of the corneal stroma. The model formulates the elastic and viscous response of the stroma as the average of the elastic and viscous response of the individual lamellae weighted by a probability density function of the preferred in-plane lamellar orientations. The result is a microstructure-based model that incorporates the viscoelastic properties of the matrix and lamellae and the lamellar architecture in the response of the stroma. In addition, the model includes a fully nonlinear description of the viscoelastic response of the lamellar(fiber) level. This is in contrast to previous microstructure-based models of fibrous soft tissues, which relied on quasilinear viscoelastic formulations of the fiber viscoelasticity. Simulations of recent tensile strip experiments show that the model is able to predict, well within the bounds of experimental error and natural variations, the cyclic stress-strain behavior and nonlinear creep behavior observed in uniaxial tensile experiments of excised strips of bovine cornea.
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e-mail: vicky.nguyen@jhu.edu
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August 2008
Research Papers
A Nonlinear Anisotropic Viscoelastic Model for the Tensile Behavior of the Corneal Stroma
T. D. Nguyen,
T. D. Nguyen
Department of Mechanical Engineering,
e-mail: vicky.nguyen@jhu.edu
The Johns Hopkins University
, Baltimore, MD 21218
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R. E. Jones,
R. E. Jones
Mechanics of Materials Department,
Sandia National Laboratories
, P.O. Box 0969, Livermore, CA 94551
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B. L. Boyce
B. L. Boyce
Microsystems Materials Department,
Sandia National Laboratories
, P.O. Box 5800, Albuquerque, NM 87123
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T. D. Nguyen
Department of Mechanical Engineering,
The Johns Hopkins University
, Baltimore, MD 21218e-mail: vicky.nguyen@jhu.edu
R. E. Jones
Mechanics of Materials Department,
Sandia National Laboratories
, P.O. Box 0969, Livermore, CA 94551
B. L. Boyce
Microsystems Materials Department,
Sandia National Laboratories
, P.O. Box 5800, Albuquerque, NM 87123J Biomech Eng. Aug 2008, 130(4): 041020 (10 pages)
Published Online: July 2, 2008
Article history
Received:
June 22, 2007
Revised:
November 30, 2007
Published:
July 2, 2008
Citation
Nguyen, T. D., Jones, R. E., and Boyce, B. L. (July 2, 2008). "A Nonlinear Anisotropic Viscoelastic Model for the Tensile Behavior of the Corneal Stroma." ASME. J Biomech Eng. August 2008; 130(4): 041020. https://doi.org/10.1115/1.2947399
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