Guided waves in pre-stressed hyperelastic plates and tubes: Application to the ultrasound elastography of thin-walled soft materials

We acknowledge support from the National Natural Science Foundation of China (Grant Nos. 11572179, 11172155, 11432008, and 81561168023) and from the Irish Research Council.

[1]  Jianwen Luo,et al.  An Inverse Method to Determine Arterial Stiffness with Guided Axial Waves. , 2017, Ultrasound in medicine & biology.

[2]  Takahiro Hayashi,et al.  Calculation of leaky Lamb waves with a semi-analytical finite element method. , 2014, Ultrasonics.

[3]  Peter Cawley,et al.  Guided waves in fluid-filled pipes surrounded by different fluids , 2001 .

[4]  B. Pavlakovic,et al.  Leaky guided ultrasonic waves in NDT. , 1998 .

[5]  Yi Jiang,et al.  Characterization of the nonlinear elastic properties of soft tissues using the supersonic shear imaging (SSI) technique: Inverse method, ex vivo and in vivo experiments , 2015, Medical Image Anal..

[6]  K. Kishimoto,et al.  Time-harmonic wave propagation in a pre-stressed compressible elastic bi-material laminate , 2010 .

[7]  S. Emelianov,et al.  Shear wave elasticity imaging: a new ultrasonic technology of medical diagnostics. , 1998, Ultrasound in medicine & biology.

[8]  A. Guz,et al.  Elastic waves in prestressed bodies interacting with a fluid (survey) , 1997 .

[9]  D. E. Chimenti,et al.  Leaky Lamb waves in fibrous composite laminates , 1985 .

[10]  A. Shuvalov.  A sextic formalism for three–dimensional elastodynamics of cylindrically anisotropic radially inhomogeneous materials , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[11]  M. Osborne,et al.  Transmission, Reflection, and Guiding of an Exponential Pulse by a Steel Plate in Water , 1945 .

[12]  Matthew W Urban,et al.  Acoustic waves in medical imaging and diagnostics. , 2013, Ultrasound in medicine & biology.

[13]  A. Wijeyewickrema,et al.  Wave propagation in pre-stressed imperfectly bonded compressible elastic layered composites , 2009 .

[14]  I Bartoli,et al.  Dispersion analysis of leaky guided waves in fluid-loaded waveguides of generic shape. , 2014, Ultrasonics.

[15]  Mostafa Fatemi,et al.  Noninvasive Evaluation of Bladder Wall Mechanical Properties as a Function of Filling Volume: Potential Application in Bladder Compliance Assessment , 2016, PloS one.

[16]  C. Prada,et al.  Characterization of mechanical properties of a hollow cylinder with zero group velocity Lamb modes. , 2012, The Journal of the Acoustical Society of America.

[17]  S. Akbarov,et al.  Wave propagation in a pre-strained compressible elastic sandwich plate , 2011 .

[18]  M. Fink,et al.  Supersonic shear imaging: a new technique for soft tissue elasticity mapping , 2004, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[19]  J. Greenleaf,et al.  Material property estimation for tubes and arteries using ultrasound radiation force and analysis of propagating modes. , 2011, The Journal of the Acoustical Society of America.

[20]  M. Fink,et al.  Quantitative assessment of arterial wall biomechanical properties using shear wave imaging. , 2010, Ultrasound in medicine & biology.

[21]  C. Horgan,et al.  A description of arterial wall mechanics using limiting chain extensibility constitutive models , 2003, Biomechanics and modeling in mechanobiology.

[22]  Yibin Fu,et al.  An asymptotic analysis of the dispersion relation of a pre-stressed incompressible elastic plate , 1995 .

[23]  Matthew W Urban,et al.  Lamb wave dispersion ultrasound vibrometry (LDUV) method for quantifying mechanical properties of viscoelastic solids , 2011, Physics in medicine and biology.

[24]  Ray W. Ogden,et al.  Incremental Statics and Dynamics of Pre-Stressed Elastic Materials , 2007 .

[25]  D. Chimenti.  Guided Waves in Plates and Their Use in Materials Characterization , 1997 .

[26]  R. Ogden,et al.  On the third- and fourth-order constants of incompressible isotropic elasticity. , 2010, The Journal of the Acoustical Society of America.

[27]  H. Demiray.  A note on the elasticity of soft biological tissues. , 1972, Journal of biomechanics.

[28]  Lin Ye,et al.  Guided Lamb waves for identification of damage in composite structures: A review , 2006 .

[29]  K. Larin,et al.  Analysis of the effects of curvature and thickness on elastic wave velocity in cornea-like structures by finite element modeling and optical coherence elastography. , 2015, Applied physics letters.

[30]  R. Ogden,et al.  The effect of pre-stress on the vibration and stability of elastic plates , 1993 .

[31]  Jan Drewes Achenbach,et al.  Quantitative nondestructive evaluation , 2000 .

[32]  J. Kaplunov,et al.  A low-frequency model for dynamic motion in pre-stressed incompressible elastic structures , 2000, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[33]  Y. Fung,et al.  Pseudoelasticity of arteries and the choice of its mathematical expression. , 1979, The American journal of physiology.

[34]  Bo Qiang,et al.  Characterization of material properties of soft solid thin layers with acoustic radiation force and wave propagation. , 2015, The Journal of the Acoustical Society of America.

[35]  R. Ogden,et al.  A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models , 2000 .

[36]  R. Ogden.  Non-Linear Elastic Deformations , 1984 .

[37]  G. R. Torr,et al.  The acoustic radiation force , 1984 .

[38]  Laurence J. Jacobs,et al.  Experimental characterization of fatigue damage in a nickel-base superalloy using nonlinear ultrasonic waves , 2006 .

[39]  Jussi Timonen,et al.  Assessment of the cortical bone thickness using ultrasonic guided waves: modelling and in vitro study. , 2007, Ultrasound in medicine & biology.

[40]  J Bercoff,et al.  Acoustoelasticity in soft solids: assessment of the nonlinear shear modulus with the acoustic radiation force. , 2007, The Journal of the Acoustical Society of America.

[41]  M.J.S. Lowe,et al.  Matrix techniques for modeling ultrasonic waves in multilayered media , 1995, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[42]  Joseph L. Rose,et al.  A Baseline and Vision of Ultrasonic Guided Wave Inspection Potential , 2002 .

[43]  Richard G P Lopata,et al.  Noninvasive two-dimensional strain imaging of arteries: validation in phantoms and preliminary experience in carotid arteries in vivo. , 2007, Ultrasound in medicine & biology.

[44]  Yanping Cao,et al.  Mechanics of ultrasound elastography , 2017, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[45]  P. Cawley,et al.  A two-dimensional Fourier transform method for the measurement of propagating multimode signals , 1991 .

[46]  Carlos E. S. Cesnik,et al.  Review of guided-wave structural health monitoring , 2007 .

[47]  Mickael Tanter,et al.  Sonic boom in soft materials: The elastic Cerenkov effect , 2004 .

[48]  Joseph L. Rose,et al.  Ultrasonic Guided Waves in Solid Media , 2014 .

[49]  J. Achenbach.  Wave propagation in elastic solids , 1962 .

[50]  M. Fink,et al.  Ultrasound elastography: principles and techniques. , 2013, Diagnostic and interventional imaging.

[51]  R. Kent.  Quantitative Nondestructive Evaluation of Ceramic Fibers , 1994 .

[52]  R. Ogden,et al.  Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid , 2007, 0711.4438.

[53]  Che-Hua Yang,et al.  Characterization of mechanical and geometrical properties of a tube with axial and circumferential guided waves. , 2011, Ultrasonics.

[54]  An ultrasound elastography method to determine the local stiffness of arteries with guided circumferential waves. , 2017, Journal of biomechanics.