메뉴 건너뛰기




Volumn 468, Issue 2138, 2012, Pages 467-484

Elastodynamics of radially inhomogeneous spherically anisotropic elastic materials in the Stroh formalism

Author keywords

Elastodynamics; Spherical anisotropy; Stroh; Vector spherical harmonics

Indexed keywords

SEPARATION;

EID: 84857220020     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2011.0463     Document Type: Article
Times cited : (26)

References (27)
  • 1
    • 0023211703 scopus 로고
    • The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies
    • doi:10.1007/BF00127554
    • Antman, S. S. & Negron-Marrero, P. V. 1987 The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies. J. Elasticity 18, 131-164. (doi:10.1007/BF00127554)
    • (1987) J. Elasticity , vol.18 , pp. 131-164
    • Antman, S.S.1    Negron-Marrero, P.V.2
  • 2
    • 0034890456 scopus 로고    scopus 로고
    • Anisotropy consistent with spherical symmetry in continuum mechanics
    • DOI 10.1023/A:1010965213263
    • Antman, S. S. & Ting, T. C. T. 2001 Anisotropy consistent with spherical symmetry in continuum mechanics. J. Elasticity 62, 85-93. (doi:10.1023/A:1010965213263) (Pubitemid 32720106)
    • (2001) Journal of Elasticity , vol.62 , Issue.1 , pp. 85-93
    • Antman, S.S.1    Ting, T.C.T.2
  • 3
    • 0343826125 scopus 로고    scopus 로고
    • Free vibration of multi-layered spherically isotropic hollow spheres
    • doi:10.1016/S0020-7403 00 00044-8
    • Chen, W. & Ding, H. J. 2001 Free vibration of multi-layered spherically isotropic hollow spheres. Int. J. Mech. Sci. 43, 667-680. (doi:10.1016/S0020-7403 (00) 00044-8)
    • (2001) Int. J. Mech. Sci. , vol.43 , pp. 667-680
    • Chen, W.1    Ding, H.J.2
  • 4
    • 0029394259 scopus 로고
    • Elastic Herglotz functions
    • doi:10.1137/S0036139993255996
    • Dassios, G. & Rigou, Z. 1995 Elastic Herglotz functions. SIAM J. Appl. Math. 55, 1345-1361. (doi:10.1137/S0036139993255996)
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 1345-1361
    • Dassios, G.1    Rigou, Z.2
  • 6
    • 58149508480 scopus 로고    scopus 로고
    • Acoustic wave interaction with a laminated transversely isotropic spherical shell with imperfect bonding
    • doi:10.1007/s00419-008-0212-y
    • Hasheminejad, S. & Maleki, M. 2009 Acoustic wave interaction with a laminated transversely isotropic spherical shell with imperfect bonding. Arch. Appl. Mech. (Ingenieur Archiv) 79, 97-112. (doi:10.1007/s00419-008-0212-y)
    • (2009) Arch. Appl. Mech. (Ingenieur Archiv) , vol.79 , pp. 97-112
    • Hasheminejad, S.1    Maleki, M.2
  • 7
    • 0001037131 scopus 로고
    • On the general theory of elasticity for a spherically isotropic medium
    • Hu, H. C. 1954 On the general theory of elasticity for a spherically isotropic medium. Acta Sci. Sin. 3, 247-260.
    • (1954) Acta Sci. Sin. , vol.3 , pp. 247-260
    • Hu, H.C.1
  • 8
    • 33947209398 scopus 로고
    • n (m) is the Legendre polynomial of degree n
    • n (m) is the Legendre polynomial of degree n. Mess. Math. 49, 125-127.
    • (1919) Mess. Math. , vol.49 , pp. 125-127
    • Jolliffe, A.E.1
  • 10
    • 0016917921 scopus 로고
    • On the existence of surface-wave solutions for anisotropic elastic half-spaces with free surface
    • doi:10.1063/1.322665
    • Lothe, J. & Barnett, D. M. 1976 On the existence of surface-wave solutions for anisotropic elastic half-spaces with free surface. J. Appl. Phys. 47, 428-433. (doi:10.1063/1.322665)
    • (1976) J. Appl. Phys. , vol.47 , pp. 428-433
    • Lothe, J.1    Barnett, D.M.2
  • 14
    • 78149436373 scopus 로고    scopus 로고
    • Wave impedance matrices for cylindrically anisotropic radially inhomogeneous elastic materials
    • doi:10.1093/qjmam/hbq010
    • Norris, A. N. & Shuvalov, A. L. 2010 Wave impedance matrices for cylindrically anisotropic radially inhomogeneous elastic materials. Q. J. Mech. Appl. Math. 63, 1-35. (doi:10.1093/qjmam/hbq010)
    • (2010) Q. J. Mech. Appl. Math. , vol.63 , pp. 1-35
    • Norris, A.N.1    Shuvalov, A.L.2
  • 16
    • 0036163808 scopus 로고    scopus 로고
    • Scattering and active acoustic control from a submerged spherical shell
    • DOI 10.1121/1.1428749
    • Scandrett, C. 2002 Scattering and active acoustic control from a submerged spherical shell. J. Acoust. Soc. Am. 111, 893-907. (doi:10.1121/1.1428749) (Pubitemid 34127469)
    • (2002) Journal of the Acoustical Society of America , vol.111 , Issue.2 , pp. 893-907
    • Scandrett, C.1
  • 17
    • 0000813390 scopus 로고    scopus 로고
    • On the theory of wave propagation in anisotropic plates
    • doi:10.1098/rspa.2000.0609
    • Shuvalov, A. L. 2000 On the theory of wave propagation in anisotropic plates. Proc. R. Soc. Lond. A 456, 2197-2222. (doi:10.1098/rspa.2000.0609)
    • (2000) Proc. R. Soc. Lond. A , vol.456 , pp. 2197-2222
    • Shuvalov, A.L.1
  • 18
    • 0038796659 scopus 로고    scopus 로고
    • A sextic formalism for three-dimensional elastodynamics of cylindrically anisotropic radially inhomogeneous materials
    • DOI 10.1098/rspa.2002.1075
    • Shuvalov, A. L. 2003a A sextic formalism for three-dimensional elastodynamics of cylindrically anisotropic radially inhomogeneous materials. Proc. R. Soc. Lond. A 459, 1611-1639. (doi:10.1098/rspa.2002.1075) (Pubitemid 38333355)
    • (2003) Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , vol.459 , Issue.2035 , pp. 1611-1639
    • Shuvalov, A.L.1
  • 19
    • 0038044824 scopus 로고    scopus 로고
    • The Frobenius power series solution for cylindrically anisotropic radially inhomogeneous elastic materials
    • doi:10.1093/qjmam/56.3.327
    • Shuvalov, A. L. 2003b The Frobenius power series solution for cylindrically anisotropic radially inhomogeneous elastic materials. Q. J. Mech. Appl. Math. 56, 327-345. (doi:10.1093/qjmam/56.3.327)
    • (2003) Q. J. Mech. Appl. Math. , vol.56 , pp. 327-345
    • Shuvalov, A.L.1
  • 20
    • 4344664280 scopus 로고    scopus 로고
    • General formalism for plane guided waves in transversely inhomogeneous anisotropic plates
    • DOI 10.1016/j.wavemoti.2004.02.008, PII S0165212504000769
    • Shuvalov, A. L., Poncelet, O. & Deschamps, M. 2004 General formalism for plane guided waves in transversely inhomogeneous anisotropic plates. Wave Motion 40, 413-426. (doi:10.1016/j. wavemoti.2004.02.008) (Pubitemid 39142806)
    • (2004) Wave Motion , vol.40 , Issue.4 , pp. 413-426
    • Shuvalov, A.L.1    Poncelet, O.2    Deschamps, M.3
  • 21
    • 0024113859 scopus 로고
    • Free non-axisymmetric oscillations of a thick-walled, nonhomogeneous, transversely isotropic, hollow sphere
    • Shul'ga, N. A., Grigorenko, A. Y. & Efimova, T. L. 1988 Free non-axisymmetric oscillations of a thick-walled, nonhomogeneous, transversally isotropic, hollow sphere. Int. Appl. Mech. 24, 439-444. (doi:10.1007/BF00883063) (Pubitemid 20655081)
    • (1988) Soviet applied mechanics , vol.24 , Issue.5 , pp. 439-444
    • Shul'ga, N.A.1    Grigorenko, A.Ya.2    Efimova, T.L.3
  • 22
    • 68849095083 scopus 로고    scopus 로고
    • Radial wave crystals: Radially periodic structures from anisotropic metamaterials for engineering acoustic or electromagnetic waves
    • doi:10.1103/PhysRevLett.103.064301
    • Torrent, D. & Sánchez-Dehesa, J. 2009 Radial wave crystals: radially periodic structures from anisotropic metamaterials for engineering acoustic or electromagnetic waves. Phys. Rev. Lett. 103, 064301. (doi:10.1103/PhysRevLett.103.064301)
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 064301
    • Torrent, D.1    Sánchez-Dehesa, J.2
  • 24
    • 0032688308 scopus 로고    scopus 로고
    • The remarkable nature of radially symmetric deformation of spherically uniform linear anisotropic elastic solids
    • doi:10.1023/A:1007516218827
    • Ting, T. C. T. 1998 The remarkable nature of radially symmetric deformation of spherically uniform linear anisotropic elastic solids. J. Elasticity 53, 47-64. (doi:10.1023/A:1007516218827)
    • (1998) J. Elasticity , vol.53 , pp. 47-64
    • Ting, T.C.T.1
  • 26
    • 0032288999 scopus 로고    scopus 로고
    • Generalization of the Stroh formalism to 3-dimensional anisotropic elasticity
    • doi:10.1023/A:1007523219357
    • Wu, K.-C. 1998 Generalization of the Stroh formalism to 3-dimensional anisotropic elasticity. J. Elasticity 51, 213-225. (doi:10.1023/A:1007523219357)
    • (1998) J. Elasticity , vol.51 , pp. 213-225
    • Wu, K.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.