ArticlePhysics in medicine and biology2020
Tractable calculation of the Green's tensor for shear wave propagation in an incompressible, transversely isotropic material.
Article in Physics in medicine and biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- 3D rotational shear wave elasticity imaging (3D-RSWEI) in anisotropic lattice phantoms.Journal of the mechanical behavior of biomedical materials · 2025Article
- Double Profile Intersection (DoPIo) Ultrasound With Acoustic Radiation Force Tilting Interrogates Young's Modulus in Transversely Isotropic Media: An In Silico Study.IEEE open journal of ultrasonics, ferroelectrics, and frequency control · 2025Article
- Rotational 3D shear wave elasticity imaging: Effect of knee flexion on 3D shear wave propagation in in vivo vastus lateralis.Journal of the mechanical behavior of biomedical materials · 2024Article
- VisR Ultrasound With Non-Normal ARF-AoS Incidence Interrogates Both Shear and Young's Elastic Moduli in Transversely Isotropic Materials.IEEE open journal of ultrasonics, ferroelectrics, and frequency control · 2024Article
- Load sharing between synergistic muscles characterized by a ligand-binding approach and elastography.Scientific reports · 2023Article
- Parametric Analysis of SV Mode Shear Waves in Transversely Isotropic Materials Using Ultrasonic Rotational 3-D SWEI.IEEE transactions on ultrasonics, ferroelectrics, and frequency control · 2022Article
- Phase and group velocities for shear wave propagation in an incompressible, hyperelastic material with uniaxial stretch.Physics in medicine and biology · 2022Article
- Probing elastic anisotropy of human skin in vivo with light using non-contact acoustic micro-tapping OCE and polarization sensitive OCT.Scientific reports · 2022Article
- Anisotropy in ultrasound shear wave elastography: An add-on to muscles characterization.Frontiers in physiology · 2022Review
- Full Characterization of in vivo Muscle as an Elastic, Incompressible, Transversely Isotropic Material Using Ultrasonic Rotational 3D Shear Wave Elasticity Imaging.IEEE transactions on medical imaging · 2022Article
- Uniqueness of shear wave modeling in an incompressible, transversely isotropic (ITI) material.Physics in medicine and biology · 2021Article
- Analytical solution based on spatial distortion for a time-harmonic Green's function in a transverse isotropic viscoelastic solid.The Journal of the Acoustical Society of America · 2021Article
- Analysis of multiple shear wave modes in a nonlinear soft solid: Experiments and finite element simulations with a tilted acoustic radiation force.Journal of the mechanical behavior of biomedical materials · 2020Article
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3 authors.
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Abstract
Assessing material properties from observations of shear wave propagation following an acoustic radiation force impulse (ARFI) excitation is difficult in anisotropic materials because of the complex relations among the propagation direction, shear wave polarizations, and material symmetries. In this paper, we describe a method to calculate shear wave signals using Green's tensor methods in an incompressible, transversely isotropic (TI) material characterized by three material parameters. The Green's tensor is written as the sum of an analytic expression for the SH propagation mode, and an integral expression for the SV propagation mode that can be evaluated by interpolation within precomputed integral functions with an efficiency comparable to the evaluation of a closed-form expression. By using parametrized integral functions, the number of required numerical integrations is reduced by a factor of 10
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