Modeling shear waves through a viscoelastic medium induced by acoustic radiation force

Lee, Kristen H.; Szajewski, Benjamin A.; Hah, Zaegyoo; Parker, Kevin J.; Maniatty, Antoinette M.

doi:10.1002/cnm.1488

Cited by 27 publications

(25 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Young's modulus of the material is assumed to be 25,000 Pa, and the density to be 1,000 3 kg/m . In order to have the longitudinal wave speed as 1,540 m/s, Poisson's ratio is inversely calculated by Equation (3), and it is very close to 0.5.…”

Section: Wave Velocitiesmentioning

confidence: 99%

See 1 more Smart Citation

Simulation of shear wave propagation induced by acoustic radiation force

et al. 2014

View full text Add to dashboard Cite

Acoustic radiation force is a physical phenomenon caused by propagation of ultrasound in an attenuating medium. When ultrasound propagates in the medium, the momentum of propagating ultrasound is transferred to the medium due to absorption mechanism. As a result, acoustic radiation force is generated in the principal direction of waves. By focusing the ultrasound at a specific location for a certain period, we can exert the acoustic radiation force at the location and generate the source of the shear waves. Characteristics of the shear wave critically depend on the material properties. Therefore, the shear wave propagation in the medium containing an inclusion shows differences compared to the wave in the pure medium. We simulate acoustic radiation force and generate shear waves by using the finite element method. The purpose of this study is to simulate the effect of the radiation force and to estimate the properties of the inclusion through analyzing the change of the shear wave induced by the radiation force in the almost incompressible materials.

show abstract

Section: Wave Velocitiesmentioning

confidence: 99%

“…Young's modulus of the soft inclusion is 8 KPa, and the modulus of the stiff inclusion is 80 KPa. Viscoelastic properties are selected from the reference [3], and the values are summarized in Table 2. Figures 10 and 11 show the time history of the vertical displacement fields.…”

Section: Shear Wave Propagation In Elastic and Viscoelastic Materialsmentioning

confidence: 99%

Simulation of shear wave propagation induced by acoustic radiation force

et al. 2014

View full text Add to dashboard Cite

show abstract

“…5 Experimentally, the acoustic absorption in a wide range of materials relevant to these fields has been shown to follow a frequency power law of the form a 0 x y , where a 0 is a proportionality coefficient, x is the temporal frequency, and y is between 0 and 2. 6 It is now well established that this type of behavior can be modeled through the use of fractional derivative operators-a recent review is given by Holm and N€ asholm.…”

Section: Introductionmentioning

confidence: 99%

Modeling power law absorption and dispersion in viscoelastic solids using a split-field and the fractional Laplacian

Treeby

Cox

2014

The Journal of the Acoustical Society of America

View full text Add to dashboard Cite

The absorption of compressional and shear waves in many viscoelastic solids has been experimentally shown to follow a frequency power law. It is now well established that this type of loss behavior can be modeled using fractional derivatives. However, previous fractional constitutive equations for viscoelastic media are based on temporal fractional derivatives. These operators are non-local in time, which makes them difficult to compute in a memory efficient manner. Here, a fractional Kelvin-Voigt model is derived based on the fractional Laplacian. This is obtained by splitting the particle velocity into compressional and shear components using a dyadic wavenumber tensor. This allows the temporal fractional derivatives in the Kelvin-Voigt model to be replaced with spatial fractional derivatives using a lossless dispersion relation with the appropriate compressional or shear wave speed. The model is discretized using the Fourier collocation spectral method, which allows the fractional operators to be efficiently computed. The field splitting also allows the use of a k-space corrected finite difference scheme for time integration to minimize numerical dispersion. The absorption and dispersion behavior of the fractional Laplacian model is analyzed for both high and low loss materials. The accuracy and utility of the model is then demonstrated through several numerical experiments, including the transmission of focused ultrasound waves through the skull.

show abstract

“…This approach allows to have full control over the arterial architecture, mechanical properties and the excited ARF (Lee et al, 2012;Palmeri et al, 2005;Caenen et al, 2015). By varying the fibre orientation and the probe orientation in the numerical model, we will verify whether elasticity variations due to stretch-induced stiffening are indeed picked up most easily when the transducer is (close to) parallel to the fibre orientation, i.e.…”

Section: Introductionmentioning

confidence: 99%

A finite element model to study the effect of tissue anisotropy onex vivoarterial shear wave elastography measurements

Shcherbakova¹,

Debusschere²,

Caenen³

et al. 2017

Phys. Med. Biol.

View full text Add to dashboard Cite

Abstract. Shear wave elastography (SWE) is an ultrasound (US) diagnostic method for measuring the stiffness of soft tissues based on generated shear waves (SWs). SWE has been applied to bulk tissues, but in arteries it is still under investigation. Previously performed studies in arteries or arterial phantoms demonstrated the potential of SWE to measure arterial wall stiffness -a relevant marker in prediction of cardiovascular diseases. This study is focused on numerical modelling of SWs in ex vivo equine aortic tissue, yet based on experimental SWE measurements with the tissue dynamically loaded while rotating the US probe to investigate the sensitivity of SWE to the anisotropic structure. A good match with experimental shear wave group speed results was obtained. SWs were sensitive to the orthotropy and nonlinearity of the material. The model also allowed to study the nature of the SWs by performing 2D FFT-based and analytical phase analyses. A good match between numerical group velocities derived using the time-of-flight algorithm and derived from the dispersion curves was found in the cross-sectional and axial arterial views. The complexity of solving analytical equations for nonlinear orthotropic stressed plates was discussed.

show abstract

Modeling shear waves through a viscoelastic medium induced by acoustic radiation force

Cited by 27 publications

References 31 publications

Simulation of shear wave propagation induced by acoustic radiation force

Simulation of shear wave propagation induced by acoustic radiation force

Modeling power law absorption and dispersion in viscoelastic solids using a split-field and the fractional Laplacian

A finite element model to study the effect of tissue anisotropy onex vivoarterial shear wave elastography measurements

Contact Info

Product

Resources

About