EXISTENCE AND UNIQUENESS OF STONELEY WAVES

被引：39

作者：

CHADWICK, P ^{[1
]}

BOREJKO, P ^{[1
]}

机构：

[1] VIENNA TECH UNIV, INST ALLGEMEINE MECH, A-1040 VIENNA, AUSTRIA

来源：

GEOPHYSICAL JOURNAL INTERNATIONAL | 1994年 / 118卷 / 02期

关键词：

INTERFACIAL WAVES; ISOTROPIC ELASTIC MEDIA; LIMITING CURVES; SECULAR EQUATION;

D O I：

10.1111/j.1365-246X.1994.tb03960.x

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

The basic existence-uniqueness theory for Stoneley waves propagating along a plane interface between different isotropic elastic media is re-examined, using a matrix formulation of the secular equation. The resulting development is appreciably simpler than previous treatments of the theory. The domain of existence of Stoneley waves and the limiting curves forming its outer boundary are characterized in terms of coordinates beta1(2)/beta2(2) and mu2/mu1 where mu1, mu2 are the shear moduli and beta1, beta2 the speeds of transverse plane waves in the constituent media. The equations of the limiting curves are given explicitly and exemplified numerically.

引用

页码：279 / 284

页数：6

共 12 条

[1] CONSIDERATIONS OF THE EXISTENCE OF INTERFACIAL (STONELEY) WAVES IN BONDED ANISOTROPIC ELASTIC HALF-SPACES [J].

BARNETT, DM ;

LOTHE, J ;

GAVAZZA, SD ;

MUSGRAVE, MJP .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1985, 402 (1822) :153-166

[2] SURFACE AND INTERFACIAL WAVES OF ARBITRARY FORM IN ISOTROPIC ELASTIC MEDIA [J].

CHADWICK, P .

JOURNAL OF ELASTICITY, 1976, 6 (01) :73-80

[3]

Chadwick P., 1977, ADV APPL MECH, V17, P303, DOI 10.1016/S0065-2156(08)70223-0

[4]

Dix C., 1939, GEOPHYSICS, V4, P238, DOI [10.1190/1.1440499, DOI 10.1190/1.1440499]

[5]

Ewing W.M., 1957, GFF, DOI DOI 10.1080/11035895809447214

[6]

Ginzbarg A. S., 1958, B SEISMOL SOC AM, V48, P51

[7]

KOPPE H, 1948, Z ANGEW MATH MECH, V28, P355

[8]

OWEN TE, 1964, PROG APPL MATER RES, V6, P69

[9]

Scholte J., 1947, GEOPHYS J INT, V5, P120, DOI DOI 10.1111/J.1365-246X.1947.TB00347.X

[10]

Scholte JG, 1942, P K NED AKAD WETENSC, V45, P159

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