메뉴 건너뛰기




Volumn 59, Issue 5, 1999, Pages 1599-1635

Numerical method for surface waves in a cylindrically perturbed elastic half-space. Part 1: Construction and analysis

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; FINITE ELEMENT METHOD; INVERSE PROBLEMS; MATHEMATICAL OPERATORS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 0033310581     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139997318020     Document Type: Article
Times cited : (2)

References (60)
  • 2
    • 0017769822 scopus 로고
    • Elastic surface waves guided by the edge, of a slit
    • J. D. ACHENBACH AND A. K. GAUTESEN, Elastic surface waves guided by the edge, of a slit, J. Sound Vibration, 53 (1977), pp. 407-416.
    • (1977) J. Sound Vibration , vol.53 , pp. 407-416
    • Achenbach, J.D.1    Gautesen, A.K.2
  • 4
    • 0343510306 scopus 로고
    • Approximation de la diffraction d'ondes elastiques: Une nouvelle approche
    • H. Brezis and J. L. Lions, eds., Pitman, London
    • A. BAMBERGER, Approximation de la diffraction d'ondes elastiques: Une nouvelle approche, in Nonlinear Partial Differential Equations and Their Applications, Vol. VI, H. Brezis and J. L. Lions, eds., Pitman, London, 1984, pp. 48-95.
    • (1984) Nonlinear Partial Differential Equations and Their Applications , vol.6 , pp. 48-95
    • Bamberger, A.1
  • 8
    • 0009951813 scopus 로고
    • Mathematical analysis of the guided modes of an optical fiber
    • A. BAMBERGER AND A. S. BONNET, Mathematical analysis of the guided modes of an optical fiber, SIAM J. Math. Anal., 21 (1990), pp. 1487-1510.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1487-1510
    • Bamberger, A.1    Bonnet, A.S.2
  • 9
    • 0005544719 scopus 로고
    • Mathematical analysis of the propagation of elastic guided waves in heterogeneous media
    • A. BAMBERGER, Y. DERMENJIAN, AND P. JOLY, Mathematical analysis of the propagation of elastic guided waves in heterogeneous media, J. Differential Equations, 88 (1990), pp. 113-154.
    • (1990) J. Differential Equations , vol.88 , pp. 113-154
    • Bamberger, A.1    Dermenjian, Y.2    Joly, P.3
  • 10
    • 0001852593 scopus 로고
    • Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section, RAIRO Math. Modél
    • A. BAMBERGER, P. JOLY, AND M. KERN, Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section, RAIRO Math. Modél. Anal. Numér., 25 (1991), pp. 1-30.
    • (1991) Anal. Numér. , vol.25 , pp. 1-30
    • Bamberger, A.1    Joly, P.2    Kern, M.3
  • 11
    • 0343510305 scopus 로고    scopus 로고
    • Mathematical analysis of elastic surface waves in topographic waveguides
    • submitted
    • A. S. BONNET, J. DUTERTE, AND P. JOLY, Mathematical analysis of elastic surface waves in topographic waveguides. Math. Models Methods Appl. Sci., submitted.
    • Math. Models Methods Appl. Sci.
    • Bonnet, A.S.1    Duterte, J.2    Joly, P.3
  • 12
    • 36849126643 scopus 로고
    • Propagation of elastic waves in a cylindrical bore containing a fluid
    • M. BIOT, Propagation of elastic waves in a cylindrical bore containing a fluid, J. Appl. Phys., 23 (1952), pp. 997-1005.
    • (1952) J. Appl. Phys. , vol.23 , pp. 997-1005
    • Biot, M.1
  • 13
    • 0342640064 scopus 로고
    • Propagation of elastic waves in a liquid-filled cylindrical bore surrounded by an elastic solid
    • M. BIOT, Propagation of elastic waves in a liquid-filled cylindrical bore surrounded by an elastic solid, J. Appl. Phys., 24 (1953), pp. 515-521.
    • (1953) J. Appl. Phys. , vol.24 , pp. 515-521
    • Biot, M.1
  • 18
    • 0019003309 scopus 로고
    • Transmission and reflection of acoustic waves by an obstacle in a waveguide
    • A. BOSTRÖM, Transmission and reflection of acoustic waves by an obstacle in a waveguide, Wave Motion, 2 (1980), pp. 167-184.
    • (1980) Wave Motion , vol.2 , pp. 167-184
    • Boström, A.1
  • 19
    • 0023409970 scopus 로고
    • Elastic wave scattering from an interface crack: Antiplane strain
    • A. BOSTRÖM, Elastic wave scattering from an interface crack: Antiplane strain, J. Appl. Mech., 54 (1987), pp. 503-508.
    • (1987) J. Appl. Mech. , vol.54 , pp. 503-508
    • Boström, A.1
  • 20
    • 0020189088 scopus 로고
    • Propagation of elastic surface waves and their excitation by a point force
    • A. BOSTRÖM AND A. D. BURDEN, Propagation of elastic surface waves and their excitation by a point force, J. Acoust. Soc. Amer., 72 (1982), pp. 914-1004.
    • (1982) J. Acoust. Soc. Amer. , vol.72 , pp. 914-1004
    • Boström, A.1    Burden, A.D.2
  • 21
    • 0022027240 scopus 로고
    • Propagation of elastic surface waVes along a cylindrical cavity of general cross section
    • A. D. BURDEN, Propagation of elastic surface waVes along a cylindrical cavity of general cross section, Wave Motion, 7 (1985), pp. 153-168.
    • (1985) Wave Motion , vol.7 , pp. 153-168
    • Burden, A.D.1
  • 22
    • 0022185275 scopus 로고
    • The null-field approach and the propagation of elastic surface waves along cylindrical cavities
    • A. D. BURDEN, The null-field approach and the propagation of elastic surface waves along cylindrical cavities, Appl. Sci. Res., 42 (1985), pp. 333-346.
    • (1985) Appl. Sci. Res. , vol.42 , pp. 333-346
    • Burden, A.D.1
  • 24
    • 85012602459 scopus 로고
    • Recent developments in the theory of elastic surface and interfacial waves
    • M. F. McCarthy and M. A. Hayes, eds., North-Holland, Amsterdam
    • P. CHADWICK, Recent developments in the theory of elastic surface and interfacial waves, in Elastic Wave Propagation 35, M. F. McCarthy and M. A. Hayes, eds., North-Holland, Amsterdam, 1988, pp. 3-16.
    • (1988) Elastic Wave Propagation , vol.35 , pp. 3-16
    • Chadwick, P.1
  • 26
    • 0027853413 scopus 로고
    • Mathematical analysis of guided water waves
    • A. S. BONNET-BEN DHIA AND P. JOLY, Mathematical analysis of guided water waves, SIAM J. Appl. Math., 53 (1993), pp. 1507-1550.
    • (1993) SIAM J. Appl. Math. , vol.53 , pp. 1507-1550
    • Bonnet-Ben Dhia, A.S.1    Joly, P.2
  • 32
    • 0022598783 scopus 로고
    • Existence and uniqueness of a Rayleigh wave propagating along the free boundary of a transversally isotropic elastic half space
    • J. C. GUILLOT, Existence and uniqueness of a Rayleigh wave propagating along the free boundary of a transversally isotropic elastic half space, Math. Methods Appl. Sci., 8 (1986), pp. 289-310.
    • (1986) Math. Methods Appl. Sci. , vol.8 , pp. 289-310
    • Guillot, J.C.1
  • 35
    • 0000243114 scopus 로고
    • Mathematical analysis of electromagnetic open waveguides
    • P. JOLY AND C. POIRIER, Mathematical analysis of electromagnetic open waveguides, RAIRO Math. Modél. Anal. Numér., 29 (1995), pp. 505-575.
    • (1995) RAIRO Math. Modél. Anal. Numér. , vol.29 , pp. 505-575
    • Joly, P.1    Poirier, C.2
  • 36
    • 0343510299 scopus 로고
    • Elastic waves guided by an infinite plane crack
    • P. JOLY AND J. TLILI, Elastic waves guided by an infinite plane crack, Wave Motion, 14 (1991), pp. 25-53.
    • (1991) Wave Motion , vol.14 , pp. 25-53
    • Joly, P.1    Tlili, J.2
  • 37
    • 0011347774 scopus 로고
    • Harmonic generation and parametric mixing in wedge acoustic waves
    • V. V. KRYLOV AND D. F. PARKER, Harmonic generation and parametric mixing in wedge acoustic waves, Wave Motion, 15 (1992), pp. 185-200.
    • (1992) Wave Motion , vol.15 , pp. 185-200
    • Krylov, V.V.1    Parker, D.F.2
  • 38
    • 0016081202 scopus 로고
    • Plate theory solution for guided flexural acoustic waves along the tip of a wedge
    • J. MCKENNA, G. D. BOYD, AND R. N. THURSTON, Plate theory solution for guided flexural acoustic waves along the tip of a wedge, IEEE Trans. Sonics & Ultrasonics, 21 (1974), pp. 178-186.
    • (1974) IEEE Trans. Sonics & Ultrasonics , vol.21 , pp. 178-186
    • Mckenna, J.1    Boyd, G.D.2    Thurston, R.N.3
  • 39
    • 0011329847 scopus 로고
    • Elastic wedge waves. Elastic waves and related topics
    • D. F. PARKER, Elastic wedge waves. Elastic waves and related topics, J. Mech. Phys. Solids, 40 (1992), pp. 1583-1593.
    • (1992) J. Mech. Phys. Solids , vol.40 , pp. 1583-1593
    • Parker, D.F.1
  • 41
    • 0039214444 scopus 로고
    • Conditions for the validity of the geometrical-acoustic approximation in application to waves in an acute-angle solid, wedge
    • V. V. KRYLOV, Conditions for the validity of the geometrical-acoustic approximation in application to waves in an acute-angle solid, wedge, Soviet Phys. Acoust., 35 (1989), pp. 176-180.
    • (1989) Soviet Phys. Acoust. , vol.35 , pp. 176-180
    • Krylov, V.V.1
  • 42
    • 0015607695 scopus 로고
    • Higher order finite element analysis of topographic guides supporting elastic surface waves
    • P. E. LAGASSE, Higher order finite element analysis of topographic guides supporting elastic surface waves, J. Acoust. Soc. Amer., 53 (1973), pp. 1116-1122.
    • (1973) J. Acoust. Soc. Amer. , vol.53 , pp. 1116-1122
    • Lagasse, P.E.1
  • 46
    • 0003446798 scopus 로고
    • Surface acoustic waves on rough surfaces
    • D. F. Parker and G. A. Maugin, eds., Springer-Verlag, Berlin
    • A. A. MARADUDIN, Surface acoustic waves on rough surfaces, in Recent Developments in Surface Acoustic Waves, D. F. Parker and G. A. Maugin, eds., Springer-Verlag, Berlin, 1988, pp. 100-128.
    • (1988) Recent Developments in Surface Acoustic Waves , pp. 100-128
    • Maradudin, A.A.1
  • 48
    • 0003796632 scopus 로고
    • Sobolev Spaces
    • Springer-Verlag, Berlin-New York
    • V. MAZ'JA, Sobolev Spaces, Springer Ser. Soviet Math., Springer-Verlag, Berlin-New York, 1985.
    • (1985) Springer Ser. Soviet Math.
    • Maz'ja, V.1
  • 50
    • 0041459238 scopus 로고
    • Free elastic waves on the surface of a tube of infinite thickness
    • I. A. MINDLIN, Free elastic waves on the surface of a tube of infinite thickness, J. Appl. Math. Mech., 27 (1963), pp. 823-828.
    • (1963) J. Appl. Math. Mech. , vol.27 , pp. 823-828
    • Mindlin, I.A.1
  • 53
    • 84948691044 scopus 로고
    • On waves propagating along the plane surface of an elastic solid
    • L. RAYLEIGH, On waves propagating along the plane surface of an elastic solid, Proc. London Math. Soc., 17 (1885), pp. 4-11.
    • (1885) Proc. London Math. Soc. , vol.17 , pp. 4-11
    • Rayleigh, L.1
  • 58
    • 0023437306 scopus 로고
    • Mathematical aspects of trapping modes in the theory of surface waves
    • F. URSELL, Mathematical aspects of trapping modes in the theory of surface waves, J. Fluid Mech., 183 (1987), pp. 421-437.
    • (1987) J. Fluid Mech. , vol.183 , pp. 421-437
    • Ursell, F.1
  • 60
    • 0012121701 scopus 로고
    • Propagation of high frequency elastic surface waves along cylinders of general cross section
    • L. O. WILSON AND J. A. MORRISON, Propagation of high frequency elastic surface waves along cylinders of general cross section, J. Math. Phys., 16 (1975), pp. 1795-1805.
    • (1975) J. Math. Phys. , vol.16 , pp. 1795-1805
    • Wilson, L.O.1    Morrison, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.