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Volumn 185, Issue 3-4, 2006, Pages 147-164

Longitudinal and transverse waves in anisotropic elastic materials

Author keywords

[No Author keywords available]

Indexed keywords

CUBIC MATERIALS; ELASTIC MATERIALS; HEXAGONAL MATERIALS; MONOCLINIC MATERIALS;

EID: 33645843248     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-006-0333-8     Document Type: Article
Times cited : (29)

References (26)
  • 1
    • 33645864347 scopus 로고    scopus 로고
    • On anisotropic elastic materials for which one sheet of the slowness surface is a sphere or a cross-section of a slowness sheet is a circle
    • Ting, T. C. T.: On anisotropic elastic materials for which one sheet of the slowness surface is a sphere or a cross-section of a slowness sheet is a circle. Wave Motion 43(4), 287-300 (2006).
    • (2006) Wave Motion , vol.43 , Issue.4 , pp. 287-300
    • Ting, T.C.T.1
  • 2
    • 0003570440 scopus 로고
    • (translated by J. E. S. Bradley). New York: Plenum Press
    • Fedorov, F. I.: Theory of elastic waves in crystals (translated by J. E. S. Bradley), pp. 101-102. New York: Plenum Press 1968.
    • (1968) Theory of Elastic Waves in Crystals , pp. 101-102
    • Fedorov, F.I.1
  • 3
    • 0042985530 scopus 로고    scopus 로고
    • Existence of longitudinal waves
    • Trusdell, C.: Existence of longitudinal waves. J. Acoust. S. America 40, 729-730 (1996).
    • (1996) J. Acoust. S. America , vol.40 , pp. 729-730
    • Trusdell, C.1
  • 4
    • 0042484754 scopus 로고    scopus 로고
    • Existence of longitudinal waves in anisotropic media
    • Kolodner, I.: Existence of longitudinal waves in anisotropic media. J. Acoust. S. America. 40, 730-731 (1996).
    • (1996) J. Acoust. S. America. , vol.40 , pp. 730-731
    • Kolodner, I.1
  • 5
    • 0033335902 scopus 로고    scopus 로고
    • On the existence of longitudinal waves in general elastic anisotropic media
    • Geymonat, G., Gilormini, P.: On the existence of longitudinal waves in general elastic anisotropic media. J. Elasticity 54, 253-266 (1999).
    • (1999) J. Elasticity , vol.54 , pp. 253-266
    • Geymonat, G.1    Gilormini, P.2
  • 6
    • 0038877106 scopus 로고    scopus 로고
    • Topological features of the polarization fields of plane acoustic waves in anisotropic media
    • Shuvalov, A. L.: Topological features of the polarization fields of plane acoustic waves in anisotropic media. Proc. Roy. S. London A 454, 2911-2947 (1998).
    • (1998) Proc. Roy. S. London A , vol.454 , pp. 2911-2947
    • Shuvalov, A.L.1
  • 7
    • 0242414212 scopus 로고
    • Specific directions of longitudinal wave propagation in anisotropic media
    • Borgnis, F. E.: Specific directions of longitudinal wave propagation in anisotropic media. Phys. Rev. 98, 1000-1005 (1955).
    • (1955) Phys. Rev. , vol.98 , pp. 1000-1005
    • Borgnis, F.E.1
  • 8
    • 33748314998 scopus 로고
    • Propagation of elastic waves along specific directions in crystals. Soviet Physics
    • Aleksandrov, K. S.: Propagation of elastic waves along specific directions in crystals. Soviet Physics, Crystallography 1, 563-570 (1956).
    • (1956) Crystallography , vol.1 , pp. 563-570
    • Aleksandrov, K.S.1
  • 10
    • 36849119751 scopus 로고
    • Pure modes for elastic waves in crystals
    • Brugger, K.: Pure modes for elastic waves in crystals. J. Appl. Phys. 36, 759-768 (1965).
    • (1965) J. Appl. Phys. , vol.36 , pp. 759-768
    • Brugger, K.1
  • 11
    • 0024718771 scopus 로고
    • On the acoustic determination of the elastic moduli of anisotropic solids and acoustic conditions for the existence of symmetry planes
    • Norris, A.: On the acoustic determination of the elastic moduli of anisotropic solids and acoustic conditions for the existence of symmetry planes. Q. J. Mech. Appl. Math. 42, 413-426 (1989).
    • (1989) Q. J. Mech. Appl. Math. , vol.42 , pp. 413-426
    • Norris, A.1
  • 12
    • 0012551604 scopus 로고
    • On Young's modulus for anisotropic media
    • Boulanger, P., Hayes, M.: On Young's modulus for anisotropic media. J. Appl. Mech. 62, 819-820 (1995).
    • (1995) J. Appl. Mech. , vol.62 , pp. 819-820
    • Boulanger, P.1    Hayes, M.2
  • 13
    • 25944466871 scopus 로고
    • On the number of distinct elastic constants associated with certain anisotropic elastic symmetries
    • Cowin, S. C.: On the number of distinct elastic constants associated with certain anisotropic elastic symmetries. Z. Angew. Math. Phys. 46, S210 (1995).
    • (1995) Z. Angew. Math. Phys. , vol.46
    • Cowin, S.C.1
  • 16
    • 0032156282 scopus 로고    scopus 로고
    • On the extreme values of Young's modulus, the shear modulus, and Poisson's ratio for cubic materials
    • Hayes, M., Shuvalov, A.: On the extreme values of Young's modulus, the shear modulus, and Poisson's ratio for cubic materials. J. Appl. Mech. 65, 786-787 (1998).
    • (1998) J. Appl. Mech. , vol.65 , pp. 786-787
    • Hayes, M.1    Shuvalov, A.2
  • 17
    • 0037377521 scopus 로고    scopus 로고
    • Extrema of Young's modulus for cubic and transversely isotropic solids
    • Cazzani, A., Rovati, M.: Extrema of Young's modulus for cubic and transversely isotropic solids. Int. J. Solids Struct. 40, 1713-1744 (2003).
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 1713-1744
    • Cazzani, A.1    Rovati, M.2
  • 18
    • 19944391642 scopus 로고    scopus 로고
    • Extrema of Young's modulus for elastic solids with tetragonal symmetry
    • Cazzani, A., Rovati, M.: Extrema of Young's modulus for elastic solids with tetragonal symmetry. Int. J. Solids Struct. 42, 5057-5096 (2005).
    • (2005) Int. J. Solids Struct. , vol.42 , pp. 5057-5096
    • Cazzani, A.1    Rovati, M.2
  • 19
    • 29744457061 scopus 로고    scopus 로고
    • Explicit expression of the stationary values of Young's modulus and the shear modulus for anisotropic elastic materials
    • Ting, T. C. T.: Explicit expression of the stationary values of Young's modulus and the shear modulus for anisotropic elastic materials. Journal of Mechanics (formerly the Chinese Journal of Mechanics-Series A) 21(4), 255-266 (2005).
    • (2005) Journal of Mechanics (Formerly the Chinese Journal of Mechanics-Series A) , vol.21 , Issue.4 , pp. 255-266
    • Ting, T.C.T.1
  • 21
    • 0034324648 scopus 로고    scopus 로고
    • Anisotropic elastic constants that are structurally invariant
    • Ting, T. C. T.: Anisotropic elastic constants that are structurally invariant. Q. J. Mech. Appl. Math. 53(4), 511-523 (2000).
    • (2000) Q. J. Mech. Appl. Math. , vol.53 , Issue.4 , pp. 511-523
    • Ting, T.C.T.1
  • 23
    • 0001934352 scopus 로고
    • Wave propagation in transversely isotropic elastic media. I. Homogeneous plane waves, II. Surface waves
    • Chadwick, P.: Wave propagation in transversely isotropic elastic media. I. Homogeneous plane waves, II. Surface waves. Proc. Roy. S. Lond. A 454, 23-66, 67-101 (1989).
    • (1989) Proc. Roy. S. Lond. A , vol.454 , pp. 23-66
    • Chadwick, P.1
  • 24
    • 0025509518 scopus 로고
    • Conditions under which the slowness surface of an anisotropic elastic material is the union of aligned ellipsoids
    • Chadwick, P., Norris, A. N.: Conditions under which the slowness surface of an anisotropic elastic material is the union of aligned ellipsoids. Q. J. Mech. Appl. Math. 43(4), 589-603 (1990).
    • (1990) Q. J. Mech. Appl. Math. , vol.43 , Issue.4 , pp. 589-603
    • Chadwick, P.1    Norris, A.N.2
  • 25
    • 33750294208 scopus 로고    scopus 로고
    • Anisotropic elastic materials that have one or two sheets of spherical slowness surface
    • in press
    • Ting, T. C. T.: Anisotropic elastic materials that have one or two sheets of spherical slowness surface. Proc. Roy. S. Loud., in press (2006).
    • (2006) Proc. Roy. S. Loud.
    • Ting, T.C.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.