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Volumn 102, Issue 6, 1997, Pages 3333-3342

Group velocity formulas for the symmetry planes of a stressed anisotropic elastic solid

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVES; CRYSTALS; NUMERICAL METHODS; SILICON; STIFFNESS; STRESSES;

EID: 0343663256     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.420284     Document Type: Article
Times cited : (2)

References (29)
  • 4
    • 33744564508 scopus 로고
    • General closed-form expressions for acoustic waves in elastically anisotropic solids
    • A. G. Every, "General closed-form expressions for acoustic waves in elastically anisotropic solids," Phys. Rev. B 22, 1746-1760 (1980).
    • (1980) Phys. Rev. B , vol.22 , pp. 1746-1760
    • Every, A.G.1
  • 5
    • 0007587044 scopus 로고
    • Analytical relations between the elastic constants and the group velocity in an arbitrary direction of symmetry planes of media with orthorhombic or higher symmetry
    • K. Y. Kim, "Analytical relations between the elastic constants and the group velocity in an arbitrary direction of symmetry planes of media with orthorhombic or higher symmetry," Phys. Rev. B 49, 3713-3724 (1994).
    • (1994) Phys. Rev. B , vol.49 , pp. 3713-3724
    • Kim, K.Y.1
  • 6
    • 2642644156 scopus 로고
    • Determination of all elastic constants of transversely isotropic media with a cusp around the symmetric axis by use of elastic pulses propagating in two principal directions
    • K. Y. Kim and W. Sachse, "Determination of all elastic constants of transversely isotropic media with a cusp around the symmetric axis by use of elastic pulses propagating in two principal directions," Phys. Rev. B 47, 10 993-11 000 (1993).
    • (1993) Phys. Rev. B , vol.47 , pp. 10993-11000
    • Kim, K.Y.1    Sachse, W.2
  • 7
    • 0042651845 scopus 로고
    • Analytical and optimization procedures for determination of all elastic constants of anisotropic solids from group velocity data measured in symmetry planes
    • K. Y. Kim, R. Sribar, and W. Sachse, "Analytical and optimization procedures for determination of all elastic constants of anisotropic solids from group velocity data measured in symmetry planes," J. Appl. Phys. 77, 5589-5600 (1995).
    • (1995) J. Appl. Phys. , vol.77 , pp. 5589-5600
    • Kim, K.Y.1    Sribar, R.2    Sachse, W.3
  • 8
    • 0029487293 scopus 로고
    • Determination of all elastic constants of orthotropic plate specimens from group velocity data
    • K. Y. Kim, T. Ohtani, A. R. Baker, and W. Sachse, "Determination of all elastic constants of orthotropic plate specimens from group velocity data," Res. Nondestruct. Eval. 7, 13-29 (1995).
    • (1995) Res. Nondestruct. Eval. , vol.7 , pp. 13-29
    • Kim, K.Y.1    Ohtani, T.2    Baker, A.R.3    Sachse, W.4
  • 9
    • 0005369317 scopus 로고    scopus 로고
    • Determination of the elastic constants of anisotropic solids from group velocities measured in symmetry directions
    • K. Y. Kim, A. G. Every, and W. Sachse, "Determination of the elastic constants of anisotropic solids from group velocities measured in symmetry directions," Int. J. Mod. Phys. B 10, 235-246 (1996).
    • (1996) Int. J. Mod. Phys. B , vol.10 , pp. 235-246
    • Kim, K.Y.1    Every, A.G.2    Sachse, W.3
  • 10
    • 0346929318 scopus 로고
    • Determination of the ray surface and recovery of elastic constants of anisotropic elastic media: Direct and inverse approach
    • L. Wang, "Determination of the ray surface and recovery of elastic constants of anisotropic elastic media: Direct and inverse approach," J. Phys.: Condens. Matter 7, 3863-3880 (1995).
    • (1995) J. Phys.: Condens. Matter , vol.7 , pp. 3863-3880
    • Wang, L.1
  • 11
    • 84953654254 scopus 로고
    • Sound waves in deformed perfectly elastic materials. Acoustoelastic effect
    • R. A. Toupin and B. Bernstein, "Sound waves in deformed perfectly elastic materials. Acoustoelastic effect," J. Acoust. Soc. Am. 33, 216-225 (1961).
    • (1961) J. Acoust. Soc. Am. , vol.33 , pp. 216-225
    • Toupin, R.A.1    Bernstein, B.2
  • 12
    • 0002886186 scopus 로고
    • Effective elastic coefficients for wave propagation in crystals under stress
    • R. N. Thurston, "Effective elastic coefficients for wave propagation in crystals under stress," J. Acoust. Soc. Am. 37, 348-356 (1965).
    • (1965) J. Acoust. Soc. Am. , vol.37 , pp. 348-356
    • Thurston, R.N.1
  • 13
    • 0001373852 scopus 로고
    • Waves in solids
    • Chief Editor: S. Flügge, Mechanics of Solids VI, Editor: C. Truesdell Springer-Verlag, New York
    • R. N. Thurston, "Waves in solids," in Handbuch der Physik Vol. VIa/4, Chief Editor: S. Flügge, Mechanics of Solids VI, Editor: C. Truesdell (Springer-Verlag, New York, 1974), pp. 109-308.
    • (1974) Handbuch der Physik , vol.6 A , Issue.4 , pp. 109-308
    • Thurston, R.N.1
  • 14
    • 0002522815 scopus 로고
    • Acoustoelasticity and ultrasonic measurements of residual stresses
    • edited by W. P. Mason and R. N. Thurston Academic, New York
    • Y. H. Pao, W. Sachse, and H. Fukuoka, "Acoustoelasticity and ultrasonic measurements of residual stresses," in Physical Acoustics, Vol. 17, edited by W. P. Mason and R. N. Thurston (Academic, New York, 1984), pp. 62-143.
    • (1984) Physical Acoustics , vol.17 , pp. 62-143
    • Pao, Y.H.1    Sachse, W.2    Fukuoka, H.3
  • 15
    • 36449003466 scopus 로고
    • The effect of a tapered aperture on x-ray diffraction from a sample with a pressure gradient: Studies on three samples with a maximum pressure of 560 GPa
    • A. L. Ruoff, H. Xia, and Q. Xia, "The effect of a tapered aperture on x-ray diffraction from a sample with a pressure gradient: Studies on three samples with a maximum pressure of 560 GPa," Rev. Sci. Instrum. 63, 4342-4348 (1992).
    • (1992) Rev. Sci. Instrum. , vol.63 , pp. 4342-4348
    • Ruoff, A.L.1    Xia, H.2    Xia, Q.3
  • 16
    • 0012084997 scopus 로고
    • On the atomic theory of elasticity
    • Ser. A
    • K. Huang, "On the atomic theory of elasticity," Proc. R. Soc. London, Ser. A 203, 178-194 (1950).
    • (1950) Proc. R. Soc. London , vol.203 , pp. 178-194
    • Huang, K.1
  • 18
    • 0001088467 scopus 로고    scopus 로고
    • Thermodynamics at finite deformation of an anisotropic elastic solid
    • K. Y. Kim, "Thermodynamics at finite deformation of an anisotropic elastic solid," Phys. Rev. B 54, 6245-6254 (1996).
    • (1996) Phys. Rev. B , vol.54 , pp. 6245-6254
    • Kim, K.Y.1
  • 19
    • 0342358055 scopus 로고    scopus 로고
    • The theory of thermodynamic-acoustoelastic stress gauge
    • K. Y. Kim and W. Sachse, "The theory of thermodynamic-acoustoelastic stress gauge," J. Appl. Phys. 80, 4934-4943 (1996).
    • (1996) J. Appl. Phys. , vol.80 , pp. 4934-4943
    • Kim, K.Y.1    Sachse, W.2
  • 20
    • 0642290371 scopus 로고
    • Phonon imaging: Theory and applications
    • edited by W. E. Bron Plenum, New York
    • G. A. Northrop and J. P. Wolfe, "Phonon imaging: Theory and applications," in Nonequilibrium Phonon Dynamics, edited by W. E. Bron (Plenum, New York, 1985), pp. 165-242.
    • (1985) Nonequilibrium Phonon Dynamics , pp. 165-242
    • Northrop, G.A.1    Wolfe, J.P.2
  • 21
    • 0001425760 scopus 로고
    • Formation of phonon-focusing caustics in crystals
    • A. G. Every, "Formation of phonon-focusing caustics in crystals," Phys. Rev. B 34, 2852-2862 (1986).
    • (1986) Phys. Rev. B , vol.34 , pp. 2852-2862
    • Every, A.G.1
  • 22
    • 36149017657 scopus 로고
    • Third-order elastic constants and the velocity of small amplitude elastic waves in homogeneously stressed media
    • R. N. Thurston and K. Brugger, "Third-order elastic constants and the velocity of small amplitude elastic waves in homogeneously stressed media," Phys. Rev. A 133, 1604-1610 (1964).
    • (1964) Phys. Rev. A , vol.133 , pp. 1604-1610
    • Thurston, R.N.1    Brugger, K.2
  • 23
    • 0000363264 scopus 로고
    • Electronic effects in the elastic constants of n-type silicon
    • J. J. Hall, "Electronic effects in the elastic constants of n-type silicon," Phys. Rev. 161, 756-761 (1967).
    • (1967) Phys. Rev. , vol.161 , pp. 756-761
    • Hall, J.J.1
  • 24
    • 0003395029 scopus 로고
    • Ländolt-Bernstein, edited by K.-H. Hellwege and A. M. Hellwege Springer-Verlag, New York, New Series, Group III
    • R. F. S. Hearmon, Numerical Data and Functional Relationships in Science and Technology, Ländolt-Bernstein, edited by K.-H. Hellwege and A. M. Hellwege (Springer-Verlag, New York, 1979), New Series, Group III, Vol. 11.
    • (1979) Numerical Data and Functional Relationships in Science and Technology , vol.11
    • Hearmon, R.F.S.1
  • 25
    • 0020766146 scopus 로고
    • Determination of in-plane residual stress states in plates using horizontally polarized shear waves
    • R. B. King and M. Fortunko, "Determination of in-plane residual stress states in plates using horizontally polarized shear waves," J. Appl. Phys. 54, 3027-3035 (1983).
    • (1983) J. Appl. Phys. , vol.54 , pp. 3027-3035
    • King, R.B.1    Fortunko, M.2
  • 26
    • 0023207380 scopus 로고
    • Towards an acoustoelastic theory for measurement of residual stresses
    • C. S. Man and W. Y. Lu, "Towards an acoustoelastic theory for measurement of residual stresses," J. Elast. 17, 159-182 (1987).
    • (1987) J. Elast. , vol.17 , pp. 159-182
    • Man, C.S.1    Lu, W.Y.2
  • 27
    • 0000056630 scopus 로고    scopus 로고
    • Ultrasonic imaging of the group velocity surfaces about the cubic axis in silicon
    • K. Y. Kim, K. C. Bretz, A. G. Every, and W. Sachse, "Ultrasonic imaging of the group velocity surfaces about the cubic axis in silicon," J. Appl. Phys. 79, 1857-1863 (1996).
    • (1996) J. Appl. Phys. , vol.79 , pp. 1857-1863
    • Kim, K.Y.1    Bretz, K.C.2    Every, A.G.3    Sachse, W.4
  • 28
    • 0014491806 scopus 로고
    • Review of some experimental and analytical equations of state
    • J. R. Macdonald, "Review of some experimental and analytical equations of state," Rev. Mod. Phys. 41, 316-349 (1969).
    • (1969) Rev. Mod. Phys. , vol.41 , pp. 316-349
    • Macdonald, J.R.1
  • 29
    • 84984153903 scopus 로고
    • Adiabatic, isothermal, and intermediate pressure derivatives of the elastic constants for cubic symmetry
    • G. R. Barsch and Z. P. Chang, "Adiabatic, isothermal, and intermediate pressure derivatives of the elastic constants for cubic symmetry," Phys. Status Solidi 19, 139-151 (1969).
    • (1969) Phys. Status Solidi , vol.19 , pp. 139-151
    • Barsch, G.R.1    Chang, Z.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.