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Finite element modeling of impulsive excitation and shear wave propagation in an incompressible, transversely isotropic medium.

Publication ,  Journal Article
Rouze, NC; Wang, MH; Palmeri, ML; Nightingale, KR
Published in: Journal of biomechanics
November 2013

Elastic properties of materials can be measured by observing shear wave propagation following localized, impulsive excitations and relating the propagation velocity to a model of the material. However, characterization of anisotropic materials is difficult because of the number of elasticity constants in the material model and the complex dependence of propagation velocity relative to the excitation axis, material symmetries, and propagation directions. In this study, we develop a model of wave propagation following impulsive excitation in an incompressible, transversely isotropic (TI) material such as muscle. Wave motion is described in terms of three propagation modes identified by their polarization relative to the material symmetry axis and propagation direction. Phase velocities for these propagation modes are expressed in terms of five elasticity constants needed to describe a general TI material, and also in terms of three constants after the application of two constraints that hold in the limit of an incompressible material. Group propagation velocities are derived from the phase velocities to describe the propagation of wave packets away from the excitation region following localized excitation. The theoretical model is compared to the results of finite element (FE) simulations performed using a nearly incompressible material model with the five elasticity constants chosen to preserve the essential properties of the material in the incompressible limit. Propagation velocities calculated from the FE displacement data show complex structure that agrees quantitatively with the theoretical model and demonstrates the possibility of measuring all three elasticity constants needed to characterize an incompressible, TI material.

Duke Scholars

Published In

Journal of biomechanics

DOI

EISSN

1873-2380

ISSN

0021-9290

Publication Date

November 2013

Volume

46

Issue

16

Start / End Page

2761 / 2768

Related Subject Headings

  • Palpation
  • Models, Biological
  • Materials Testing
  • Humans
  • Finite Element Analysis
  • Elasticity
  • Diagnostic Imaging
  • Biomedical Engineering
  • Anisotropy
  • 4207 Sports science and exercise
 

Citation

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ICMJE
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Rouze, N. C., Wang, M. H., Palmeri, M. L., & Nightingale, K. R. (2013). Finite element modeling of impulsive excitation and shear wave propagation in an incompressible, transversely isotropic medium. Journal of Biomechanics, 46(16), 2761–2768. https://doi.org/10.1016/j.jbiomech.2013.09.008
Rouze, Ned C., Michael H. Wang, Mark L. Palmeri, and Kathy R. Nightingale. “Finite element modeling of impulsive excitation and shear wave propagation in an incompressible, transversely isotropic medium.Journal of Biomechanics 46, no. 16 (November 2013): 2761–68. https://doi.org/10.1016/j.jbiomech.2013.09.008.
Rouze NC, Wang MH, Palmeri ML, Nightingale KR. Finite element modeling of impulsive excitation and shear wave propagation in an incompressible, transversely isotropic medium. Journal of biomechanics. 2013 Nov;46(16):2761–8.
Rouze, Ned C., et al. “Finite element modeling of impulsive excitation and shear wave propagation in an incompressible, transversely isotropic medium.Journal of Biomechanics, vol. 46, no. 16, Nov. 2013, pp. 2761–68. Epmc, doi:10.1016/j.jbiomech.2013.09.008.
Rouze NC, Wang MH, Palmeri ML, Nightingale KR. Finite element modeling of impulsive excitation and shear wave propagation in an incompressible, transversely isotropic medium. Journal of biomechanics. 2013 Nov;46(16):2761–2768.
Journal cover image

Published In

Journal of biomechanics

DOI

EISSN

1873-2380

ISSN

0021-9290

Publication Date

November 2013

Volume

46

Issue

16

Start / End Page

2761 / 2768

Related Subject Headings

  • Palpation
  • Models, Biological
  • Materials Testing
  • Humans
  • Finite Element Analysis
  • Elasticity
  • Diagnostic Imaging
  • Biomedical Engineering
  • Anisotropy
  • 4207 Sports science and exercise