ArticleThe Journal of the Acoustical Society of America2021
Analytical solution based on spatial distortion for a time-harmonic Green's function in a transverse isotropic viscoelastic solid.
Article in The Journal of the Acoustical Society of America, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Estimating shear modulus of isotropic materials from scanning laser Doppler vibrometry via convolutional neural networks.Journal of the mechanical behavior of biomedical materials · 2025Article
- Quantifying uniaxial prestress and waveguide effects on dynamic elastography estimates for a cylindrical rod.The Journal of the Acoustical Society of America · 2023Article
- Decoupling Uniaxial Tensile Prestress and Waveguide Effects From Estimates of the Complex Shear Modulus in a Cylindrical Structure Using Transverse-Polarized Dynamic Elastography.Journal of engineering and science in medical diagnostics and therapy · 2023Article
- Biaxial Tensile Prestress and Waveguide Effects on Estimates of the Complex Shear Modulus Using Optical-Based Dynamic Elastography in Plate-Like Soft Tissue Phantoms.Journal of engineering and science in medical diagnostics and therapy · 2023Article
- Numerical simulation of wave propagation through interfaces using the extended finite element method for magnetic resonance elastography.The Journal of the Acoustical Society of America · 2022Article
- The combined importance of finite dimensions, anisotropy, and pre-stress in acoustoelastography.The Journal of the Acoustical Society of America · 2022Review
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Authors and funding
1 author.
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Abstract
A strategy of spatial distortion to make an anisotropic problem become isotropic has been previously validated in two-dimensional transverse isotropic (TI) viscoelastic cases. Here, the approach is extended to the three-dimensional problem by considering the time-harmonic point force response (Green's function) in a TI viscoelastic material. The resulting wave field, exactly solvable using a Radon transform with numerical integration, is approximated via spatial distortion of the closed form analytical solution to the isotropic case. Different distortions are used, depending on whether the polarization of the wave motion is orthogonal to the axis of isotropy, with the approximation yielding differing levels of accuracy.
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