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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Hirano, M., 1977, “Structure and vibratory behavior of the vocal folds,” In M. Sawashima and F. S. Cooper (eds.) Dynamic aspects of speech production, Tokyo, Japan: University of Tokyo Press, pp. 13–30.
Gray,  S. D., Titze,  I. R., Alipour,  F., and Hammond,  T. H., 2000, “Biomechanical and histologic observations of vocal fold fibrous proteins,” Ann. Otol. Rhinol. Laryngol., 109, pp. 77–85.
Gray,  S. D., Titze,  I. R., Chan,  R., and Hammond,  T. H., 1999, “Vocal fold proteoglycans and their influence on biomechanics,” Laryngoscope, 109, pp. 845–854.
Fung, Y. C., 1993, “Biomechanics,” Mechanical properties of living tissues, (2nd edn.) New York: Springer-Verlag.
Alipour-Haghighi,  F., and Titze,  I. R., 1991, “Elastic models of vocal fold tissues,” J. Acoust. Soc. Am., 90, pp. 1326–1331.
Min,  Y. B., Titze,  I. R., and Alipour-Haghighi,  F., 1995, “Stress-strain response of the human vocal ligament,” Ann. Otol. Rhinol. Laryngol., 104, pp. 563–569.
Titze, I. R., 1994, “Principles of voice production,” Englewood Cliffs, NJ: Prentice-Hall.
Titze,  I. R., 1994, “Mechanical stress in phonation,” J. Voice, 8, pp. 99–105.
Chan,  R. W., and Titze,  I. R., 1999, “Viscoelastic shear properties of human vocal fold mucosa: Measurement methodology and empirical results,” J. Acoust. Soc. Am., 106, pp. 2008–2021.
Chan,  R. W., and Titze,  I. R., 2000, “Viscoelastic shear properties of human vocal fold mucosa: Theoretical characterization based on constitutive modeling,” J. Acoust. Soc. Am., 107, pp. 565–580.
Chan,  R. W., 2004, “Measurements of vocal fold tissue viscoelasticity: Approaching the male phonatory frequency range,” J. Acoust. Soc. Am., 115, 3161–3170.
Stathopoulos,  E. T., and Sapienza,  C., 1993, “Respiratory and laryngeal function of women and men during vocal intensity variation,” J. Speech Hear. Res., 36, pp. 64–75.
Stathopoulos,  E. T., and Sapienza,  C. M., 1997, “Developmental changes in laryngeal and respiratory function with variations in sound pressure level,” J. Speech Lang. Hear. Res., 40, pp. 595–614.
Alipour,  F., Berry,  D. A., and Titze,  I. R., 2000, “A finite element model of vocal fold vibration,” J. Acoust. Soc. Am., 108, pp. 3003–3012.
Berry,  D. A., Herzel,  H., Titze,  I. R., and Story,  B. H., 1996, “Bifurcations in excised larynx experiments,” J. Voice, 10, pp. 129–138.
Colton, R. H., and Casper, J. K., 1996, “Understanding voice problems: A physiological perspective for diagnosis and treatment,” (2nd edn.) Philadelphia: Lippincott-Williams & Wilkins.
Zeitels,  S. M., Hillman,  R. E., Bunting,  G. W., and Vaughn,  T., 1997, “Reinke’s edema: phonatory mechanisms and management strategies,” Ann. Otol. Rhinol. Laryngol., 106, pp. 533–543.
Dugdale,  D. S., 1960, “Yielding in steel sheets containing slits,” J. Mech. Phys. Solids, 8, pp. 100–104.
Barenblatt,  G. I., 1962, “The mathematical theory of equilibrium cracks in brittle fracture,” Adv. Appl. Mech., 7, pp. 55–129.
Needleman,  A., 1990, “An analysis of decohesion along an imperfect interface,” Int. J. Fract., 42, pp. 21–40.
Zrunek,  M., Happak,  W., Hermann,  M., and Streinzer,  W., 1988, “Comparative anatomy of human and sheep laryngeal skeleton,” Acta Oto-Laryngol., 105, pp. 155–162.
Alipour, F., and Montequin, D., 2002, “Comparative aerodynamics of canine, sheep and pig larynges. Paper presented at the Voice Foundation’s 31st Annual Symposium: Care of the Professional Voice,” Philadelphia, PA, June 5–9.
Kramer,  E. J., and Berger,  L. L., 1990, “Fundamental processes of craze growth and fracture,” Adv. Polym. Sci., 91/92, pp. 1–68.
Siegmund,  T., and Brocks,  W., 1998, “Local fracture criteria: length scales and applications,” J. de Physique IV France, 8, pp. 349–356.
Roe,  K. L., and Siegmund,  T., 2003, “An irreversible cohesive zone model for interface fatigue crack growth simulation,” Eng. Fract. Mech., 70, pp. 209–232.
Xu,  C., Siegmund,  T., and Ramani,  K., 2003, “Rate dependent crack growth in adhesives, I: Modeling approach,” Intl. J. Adhesion Adhesives, 23, pp. 9–13.
Xu,  C., Siegmund,  T., and Ramani,  K., 2003, “Rate-dependent crack growth in adhesives, II: Experiments and analysis,” Intl. J. Adhesion Adhesives, 23, pp. 15–22.
Titze,  I. R., 1988, “The physics of small-amplitude oscillation of the vocal folds,” J. Acoust. Soc. Am., 83, pp. 1536–1552.
Baken R. J., and Orlikoff, R. F., 2000, “Clinical measurement of speech and voice,” (2nd edn.) San Diego, CA: Singular-Thomson Learning.
Tayama,  N., Chan,  R. W., Kaga,  K., and Titze,  I. R., 2002, “Functional definitions of vocal fold geometry for laryngeal biomechanical modeling,” Ann. Otol. Rhinol. Laryngol., 111, pp. 83–92.
Titze,  I. R., Švec,  J. G., and Popolo,  P. S., 2003, “Vocal dose measures: Quantifying accumulated vibration exposure in vocal fold tissues,” J. Speech Lang. Hear. Res., 46, pp. 919–932.
Chan,  R. W., Gray,  S. D., and Titze,  I. R., 2001, “The importance of hyaluronic acid in vocal fold biomechanics,” Otolaryngol.-Head Neck Sug. 124, pp. 607–614.
Bergström,  J. S., and Boyce,  M. C., 2001, “Constitutive modeling of the time-dependent and cyclic loading of elastomers and application to soft biological tissues,” Mech. Mater., 33, pp. 523–530.
Bagley,  R. L., and Torvik,  P. J., 1983, “Fractional calculus—A different approach to the analysis of viscoelastically damped structures,” J. Am. Inst. Aero. Astro., 2, pp. 741–748.


Grahic Jump Location
Schematic of the RFS-III torsional rheometer set-up with a parallel plate geometry (cross-sectional view not to scale).
Grahic Jump Location
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).
Grahic Jump Location
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.
Grahic Jump Location
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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