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Volumn 127, Issue 2, 2010, Pages 683-691

Nonlinear reflection of shock shear waves in soft elastic media

Author keywords

[No Author keywords available]

Indexed keywords

CHARACTERISTIC PARAMETER; DESCARTES; ELASTIC MEDIA; ELASTIC SOLIDS; EXPERIMENTAL EVIDENCE; FINITE DIFFERENCE; GODUNOV SCHEME; INCIDENT SHOCK; MACH REFLECTION; NON-LINEARITY; NONLINEAR ELASTIC WAVE EQUATIONS; NONLINEAR TERMS; NUMERICAL SOLUTION; PARAXIAL WAVE EQUATION; RANKINE-HUGONIOT RELATIONS; REFLECTED SHOCKS; SHOCK PROPAGATION; SHOCK WAVE REFLECTION; THEORETICAL INVESTIGATIONS; THEORETICAL VALUES; VON NEUMANN PARADOX; VON NEUMANN REFLECTION;

EID: 76349117680     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3277202     Document Type: Article
Times cited : (22)

References (31)
  • 2
    • 0142070760 scopus 로고    scopus 로고
    • Numerical simulation of shock wave focusing at fold caustics, with application to sonic boom
    • DOI 10.1121/1.1610459
    • R. Marchiano, F. Coulouvrat, and R. Grenon, " Numerical simulation of shock wave focusing at fold caustics, with application to sonic boom.," J. Acoust. Soc. Am. JASMAN 0001-4966 114, 1758-1771 (2003). 10.1121/1.1610459 (Pubitemid 37270592)
    • (2003) Journal of the Acoustical Society of America , vol.114 , pp. 1758-1771
    • Marchiano, R.1    Coulouvrat, F.2    Grenon, R.3
  • 3
    • 13544259669 scopus 로고    scopus 로고
    • Nonlinear focusing of acoustic shock waves at a caustic cusp
    • DOI 10.1121/1.1841551
    • R. Marchiano, F. Coulouvrat, and J.-L. Thomas, " Nonlinear focusing of acoustic shock waves at a caustic cusp.," J. Acoust. Soc. Am. JASMAN 0001-4966 117, 566-577 (2005). 10.1121/1.1841551 (Pubitemid 40223418)
    • (2005) Journal of the Acoustical Society of America , vol.117 , Issue.2 , pp. 566-577
    • Marchiano, R.1    Coulouvrat, F.2    Thomas, J.-L.3
  • 4
    • 33947105613 scopus 로고    scopus 로고
    • Nonlinear reflection of grazing acoustic shock waves: Unsteady transition from von Neumann to Mach to Snell-Descartes reflections
    • DOI 10.1017/S0022112006003752, PII S0022112006003752
    • S. Baskar, F. Coulouvrat, and R. Marchiano, " Nonlinear reflection of grazing acoustical shock waves: Unsteady transition from von Neumann to Mach to Snell-Descartes reflections.," J. Fluid Mech. JFLSA7 0022-1120 575, 27-55 (2007). 10.1017/S0022112006003752 (Pubitemid 46404084)
    • (2007) Journal of Fluid Mechanics , vol.575 , pp. 27-55
    • Baskar, S.1    Coulouvrat, F.2    Marchiano, R.3
  • 6
    • 0001157136 scopus 로고
    • Über den Verlauf von Funkenwellen in der Ebene und im Raume (On the propagation of radio waves in a plane and in space)
    • E. Mach, " Über den Verlauf von Funkenwellen in der Ebene und im Raume (On the propagation of radio waves in a plane and in space).," Sitzungsbr. Akad. Wiss. Wien 78, 819-838 (1878).
    • (1878) Sitzungsbr. Akad. Wiss. Wien , vol.78 , pp. 819-838
    • MacH, E.1
  • 7
    • 0642304548 scopus 로고
    • The phenomena of shock wave reflection-A review of unsolved problems and future research needs
    • SHWAEN 0938-1287. 10.1007/BF01414757
    • G. Ben-Dor and K. Takayama, " The phenomena of shock wave reflection-A review of unsolved problems and future research needs.," Shock Waves SHWAEN 0938-1287 2, 211-223 (1992). 10.1007/BF01414757
    • (1992) Shock Waves , vol.2 , pp. 211-223
    • Ben-Dor, G.1    Takayama, K.2
  • 8
    • 0011626511 scopus 로고
    • Oblique reflection of shocks
    • edited by A. H. Taub (Pergamon, New York)
    • J. von Neumann, " Oblique reflection of shocks.," John von Neumann Collected Work, edited by, A. H. Taub, (Pergamon, New York, 1943), Vol. 6, pp. 238-299.
    • (1943) John von Neumann Collected Work , vol.6 , pp. 238-299
    • Von Neumann, J.1
  • 9
    • 0023500239 scopus 로고
    • Region and boundaries for diffracting shock wave systems
    • ZAMMAX 0044-2267. 10.1002/zamm.19870670201
    • L. F. Henderson, " Region and boundaries for diffracting shock wave systems.," Z. Angew. Math. Mech. ZAMMAX 0044-2267 67, 73-86 (1987). 10.1002/zamm.19870670201
    • (1987) Z. Angew. Math. Mech. , vol.67 , pp. 73-86
    • Henderson, L.F.1
  • 10
    • 0344899820 scopus 로고    scopus 로고
    • Observation of shock transverse waves in elastic media
    • PRLTAO 0031-9007. 10.1103/PhysRevLett.91.164301
    • S. Catheline, J.-L. Gennisson, M. Tanter, and M. Fink, " Observation of shock transverse waves in elastic media.," Phys. Rev. Lett. PRLTAO 0031-9007 91, 164301 (2003). 10.1103/PhysRevLett.91.164301
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 164301
    • Catheline, S.1    Gennisson, J.-L.2    Tanter, M.3    Fink, M.4
  • 11
    • 0033942605 scopus 로고    scopus 로고
    • Weak shock reflection
    • JFLSA7 0022-1120. 10.1017/S0022112099008010
    • J. K. Hunter and M. Brio, " Weak shock reflection.," J. Fluid Mech. JFLSA7 0022-1120 410, 235-261 (2000). 10.1017/S0022112099008010
    • (2000) J. Fluid Mech. , vol.410 , pp. 235-261
    • Hunter, J.K.1    Brio, M.2
  • 12
    • 27844568207 scopus 로고    scopus 로고
    • The physical nature of weak shock wave reflection
    • DOI 10.1017/S0022112005006543, PII S0022112005006543
    • B. W. Skews and J. T. Ashworth, " The physical nature of weak shock wave reflection.," J. Fluid Mech. JFLSA7 0022-1120 542, 105-114 (2005). 10.1017/S0022112005006543 (Pubitemid 41644765)
    • (2005) Journal of Fluid Mechanics , vol.542 , pp. 105-114
    • Skews, B.W.1    Ashworth, J.T.2
  • 13
    • 0036706347 scopus 로고    scopus 로고
    • Self-similar solutions for weak shock reflection
    • SMJMAP 0036-1399. 10.1137/S0036139901383826
    • A. M. Tesdall and J. K. Hunter, " Self-similar solutions for weak shock reflection.," SIAM J. Appl. Math. SMJMAP 0036-1399 63, 42-61 (2002). 10.1137/S0036139901383826
    • (2002) SIAM J. Appl. Math. , vol.63 , pp. 42-61
    • Tesdall, A.M.1    Hunter, J.K.2
  • 15
    • 0025416962 scopus 로고
    • The von Neumann paradox for the diffraction of a weak shock waves
    • JFLSA7 0022-1120. 10.1017/S0022112090002221
    • P. Colella and L. F. Henderson, " The von Neumann paradox for the diffraction of a weak shock waves.," J. Fluid Mech. JFLSA7 0022-1120 213, 71-94 (1990). 10.1017/S0022112090002221
    • (1990) J. Fluid Mech. , vol.213 , pp. 71-94
    • Colella, P.1    Henderson, L.F.2
  • 17
    • 0022026341 scopus 로고
    • Nonlinear effects on transverse shear waves in an elastic medium
    • JELSAY 0374-3535. 10.1007/BF00041304
    • R. W. Lardner, " Nonlinear effects on transverse shear waves in an elastic medium.," J. Elast. JELSAY 0374-3535 15, 53-57 (1985). 10.1007/BF00041304
    • (1985) J. Elast. , vol.15 , pp. 53-57
    • Lardner, R.W.1
  • 18
    • 0007269572 scopus 로고
    • Nonlinear wave motion governed by the modified Burgers equation
    • PTRMAD 0962-8428. 10.1098/rsta.1987.0081
    • I. P. Lee-Bapty and D. G. Crighton, " Nonlinear wave motion governed by the modified Burgers equation.," Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 323, 173-209 (1987). 10.1098/rsta.1987.0081
    • (1987) Philos. Trans. R. Soc. London, Ser. A , vol.323 , pp. 173-209
    • Lee-Bapty, I.P.1    Crighton, D.G.2
  • 19
    • 0001370661 scopus 로고
    • Sound beams in a nonlinear isotropic solid
    • SOPAAX 0038-562X
    • E. A. Zabolotskaya, " Sound beams in a nonlinear isotropic solid.," Sov. Phys. Acoust. SOPAAX 0038-562X 32, 296-299 (1986).
    • (1986) Sov. Phys. Acoust. , vol.32 , pp. 296-299
    • Zabolotskaya, E.A.1
  • 20
    • 63549085910 scopus 로고    scopus 로고
    • A quasi exact shock fitting algorithm for general nonlinear progressive waves
    • WAMOD9 0165-2125. 10.1016/j.wavemoti.2008.09.002
    • F. Coulouvrat, " A quasi exact shock fitting algorithm for general nonlinear progressive waves.," Wave Motion WAMOD9 0165-2125 49, 97-107 (2009). 10.1016/j.wavemoti.2008.09.002
    • (2009) Wave Motion , vol.49 , pp. 97-107
    • Coulouvrat, F.1
  • 22
    • 3142758687 scopus 로고    scopus 로고
    • Separation of compressibility and shear deformation in the elastic energy density (L)
    • DOI 10.1121/1.1736652
    • M. F. Hamilton, Y. A. Ilinskii, and E. A. Zabolotskaya, " Separation of compressibility and shear deformation in the elastic energy density.," J. Acoust. Soc. Am. JASMAN 0001-4966 116, 41-44 (2004). 10.1121/1.1736652 (Pubitemid 38915982)
    • (2004) Journal of the Acoustical Society of America , vol.116 , Issue.1 , pp. 41-44
    • Hamilton, M.F.1    Ilinskii, Y.A.2    Zabolotskaya, E.A.3
  • 24
    • 38849103178 scopus 로고    scopus 로고
    • Acoustoelasticity in soft solids: Assessment of the nonlinear shear modulus with the acoustic radiation force
    • DOI 10.1121/1.2793605
    • J. L. Gennisson, M. Ŕnier, S. Catheline, Ch. Barrìre, J. Bercoff, M. Tanter, and M. Fink, " Acoustoelasticity in soft solids: Assessment of the nonlinear shear modulus with the acoustic radiation force.," J. Acoust. Soc. Am. JASMAN 0001-4966 122, 3211-3219 (2007). 10.1121/1.2793605 (Pubitemid 351189380)
    • (2007) Journal of the Acoustical Society of America , vol.122 , Issue.6 , pp. 3211-3219
    • Gennisson, J.-L.1    Renier, M.2    Catheline, S.3    Barriere, C.4    Bercoff, J.5    Tanter, M.6    Fink, M.7
  • 25
    • 51749097091 scopus 로고    scopus 로고
    • Fourth-order shear elastic constant assessment in quasi-incompressible soft solids
    • APPLAB 0003-6951. 10.1063/1.2979875
    • M. Ŕnier, J. L. Gennisson, Ch. Barrìre, D. Royer, and M. Fink, " Fourth-order shear elastic constant assessment in quasi-incompressible soft solids.," Appl. Phys. Lett. APPLAB 0003-6951 93, 101912 (2008). 10.1063/1.2979875
    • (2008) Appl. Phys. Lett. , vol.93 , pp. 101912
    • Ŕnier, M.1    Gennisson, J.L.2    Barrìre, Ch.3    Royer, D.4    Fink, M.5
  • 26
    • 0002479243 scopus 로고
    • Quasi-plane waves in the non-linear acoustics of confined beams
    • SOPAAX 0038-562X
    • E. A. Zabolotskaya and R. V. Khokhlov, " Quasi-plane waves in the non-linear acoustics of confined beams.," Sov. Phys. Acoust. SOPAAX 0038-562X 15, 35-40 (1969).
    • (1969) Sov. Phys. Acoust. , vol.15 , pp. 35-40
    • Zabolotskaya, E.A.1    Khokhlov, R.V.2
  • 27
    • 0142058430 scopus 로고    scopus 로고
    • Nonlinear Fresnel diffraction of weak shock waves
    • DOI 10.1121/1.1610454
    • F. Coulouvrat and R. Marchiano, " Nonlinear Fresnel diffraction of weak shock waves.," J. Acoust. Soc. Am. JASMAN 0001-4966 114, 1749-1757 (2003). 10.1121/1.1610454 (Pubitemid 37266607)
    • (2003) Journal of the Acoustical Society of America , vol.114 , pp. 1749-1757
    • Coulouvrat, F.1    Marchiano, R.2
  • 28
    • 0028843409 scopus 로고
    • Time-domain modeling of pulsed finite-amplitude sound beams
    • JASMAN 0001-4966. 10.1121/1.412135
    • Y. S. Lee and M. F. Hamilton, " Time-domain modeling of pulsed finite-amplitude sound beams.," J. Acoust. Soc. Am. JASMAN 0001-4966 97, 906-917 (1995). 10.1121/1.412135
    • (1995) J. Acoust. Soc. Am. , vol.97 , pp. 906-917
    • Lee, Y.S.1    Hamilton, M.F.2
  • 29
    • 0037240020 scopus 로고    scopus 로고
    • Modeling of nonlinear ultrasound propagation in tissue from array transducers
    • DOI 10.1121/1.1528926
    • R. J. Zemp, J. Tavakkoli, and R. S. Cobbold, " Modeling of nonlinear ultrasound propagation in tissue from array transducers.," J. Acoust. Soc. Am. JASMAN 0001-4966 113, 139-152 (2003). 10.1121/1.1528926 (Pubitemid 36105668)
    • (2003) Journal of the Acoustical Society of America , vol.113 , Issue.1 , pp. 139-152
    • Zemp, R.J.1    Tavakkoli, J.2    Cobbold, R.S.C.3
  • 30
    • 0000935266 scopus 로고
    • A finite difference method for the numerical computation and discontinuous solutions of the equations of fluid dynamics
    • MATSAB 0368-8666
    • S. K. Godunov, " A finite difference method for the numerical computation and discontinuous solutions of the equations of fluid dynamics.," Mat. Sb. MATSAB 0368-8666 47, 271-306 (1959).
    • (1959) Mat. Sb. , vol.47 , pp. 271-306
    • Godunov, S.K.1


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