Vocal Fold Tissue Failure: Preliminary Data and Constitutive Modeling†

[+] Author and Article Information
Roger W. Chan

Department of Otolaryngology-Head and Neck Surgery, Graduate Program in Biomedical Engineering, University of Texas Southwestern Medical Center, Dallas, TX 75390Thomas Siegmund School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

J Biomech Eng 126(4), 466-474 (Sep 27, 2004) (9 pages) doi:10.1115/1.1785804 History: Received February 03, 2003; Revised January 22, 2004; Online September 27, 2004
Copyright © 2004 by ASME
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Schematic of the RFS-III torsional rheometer set-up with a parallel plate geometry (cross-sectional view not to scale).
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A rate-dependent standard-linear cohesive zone (SL-CZ) model of tissue failure based on the standard linear solid (SLS) model: (a) Schematic representation of the model; (b) Basic response of the model showing normalized traction (Tt/τ⁁max) versus normalized separation (Δutc) for several values of the normalized initial cohesive zone viscosity (η0CZΔu̇t/Sδc=0.0,0.1,1.0,10), with the ratio S/(dT⁁t/dΔut)=1/20 (–: total tractions, ⋯⋯: rate-dependent contributions).
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Three-dimensional illustration of the model geometry for the torsional shear problem, showing the three reference axes (r—radial, t—tangential, z—axial), the failure process zone (cohesive zone), and direction of the applied torque (wide arrow). The location of the cohesive interface at the center plane of the sample is indicated by dashed lines. The magnified details depict schematically the gradual failure of tissue fibers in the cohesive zone.
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Elastic shear modulus (G) and viscous shear modulus (G) of a specimen of sheep vocal fold mucosa as a function of shear strain amplitude (γ0)(frequency=100 rad/s).
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Average shear stress versus shear strain of sheep vocal fold mucosa showing partial and complete tissue failure under constant strain-rate, torsional shear at three loading rates. Regression lines based on a logarithmic model (Eq. 9) are shown for the three strain rates: 0.01 rad/s (thick dark line), 0.1 rad/s (shaded line), 1.0 rad/s (thin dark line).
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Average shear stress of sheep vocal fold mucosa as a function of time under constant strain-rate, torsional shear at three strain rates (data points). The curves are best-fit theoretical predictions based on the standard-linear cohesive zone (SL-CZ) model.
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Tangential cohesive surface tractions (Tt) as a function of time for five radial locations (r=0 is at the axis of rotation, r=R is at the edge of the geometry; R=3.95 mm). The loading rate is 1.0 rad/s.
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Contour plots of the logarithmic shear strain component γtz at the times of (a) 0.26 s (b) 0.58 s (c) 1.5 s (d) 5.0 s post-onset of the applied twist, as computed by the finite-element model. Values are plotted on the undeformed mesh configuration for clarity. The loading rate is 1.0 rad/s.




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