Propagation of Elastic Waves in Prestressed Media

被引：7

作者：

Singh, Inder ^{[1
]}

Madan, Dinesh Kumar ^{[2
]}

Gupta, Manish ^{[3
]}

机构：

[1] JVMGRR PG Coll, Dept Math, Charkhi Dadri 127306, Haryana, India

[2] Technol Inst Text & Sci, Dept Math, Bhiwani 127021, India

[3] Technol Inst Text & Sci, Dept Elect & Instumentat, Bhiwani 127021, India

来源：

JOURNAL OF APPLIED MATHEMATICS | 2010年

关键词：

FREE-SURFACE; REFLECTION;

D O I：

10.1155/2010/817680

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slowness surfaces and apparent velocities for these waves are derived analytically as well as numerically and represented graphically.

引用

页数：11

共 50 条

[31] PROPAGATION OF ELASTIC-WAVES IN MEDIA REINFORCED WITH CONTINUOUS FIBERS
LEVIN, VM
MECHANICS OF COMPOSITE MATERIALS, 1986, 22 (03) : 307 - 312
[32] Propagation of elastic plane waves in homogeneous and transversely isotropic media
WANG Xiaomin
LI Mingxuan(Institute of Acoustics
Chinese Journal of Acoustics, 1998, (03) : 280 - 288
[33] RADIAL PROPAGATION OF AXIAL SHEAR WAVES IN NONHOMOGENEOUS ELASTIC MEDIA
CHOU, PC
GORDON, PF
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1967, 42 (01): : 36 - &
[34] PROPAGATION OF 1-DIMENSIONAL WAVES IN INHOMOGENEOUS ELASTIC MEDIA
COOPER, HF
SIAM REVIEW, 1967, 9 (04) : 671 - &
[35] PROPAGATION OF ELASTIC-WAVES IN MEDIA WITH THIN RIGID INCLUSIONS
KANAUN, SK
LEVIN, VM
SOVIET PHYSICS ACOUSTICS-USSR, 1986, 32 (03): : 251 - 254
[36] PROPAGATION OF ELASTIC WAVES IN LAYERED MEDIA BY FINITE DIFFERENCE METHODS
ALTERMAN, Z
KARAL, FC
BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA, 1968, 58 (01) : 367 - &
[37] PROPAGATION OF ELASTIC-WAVES IN VERTICALLY INHOMOGENEOUS-MEDIA
UNGAR, A
ILAN, A
JOURNAL OF GEOPHYSICS-ZEITSCHRIFT FUR GEOPHYSIK, 1977, 43 (1-2): : 33 - 40
[38] ELASTIC-WAVES PROPAGATION IN POLYCRYSTALLINE MEDIA - A CAUSAL RESPONSE
BELTZER, AI
BRAUNER, N
APPLIED PHYSICS LETTERS, 1985, 47 (10) : 1054 - 1055
[39] ON THE PROPAGATION OF ELASTIC WAVES IN AEOLOTROPIC MEDIA .2. MEDIA OF HEXAGONAL SYMMETRY
MUSGRAVE, MJP
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 226 (1166): : 356 - 366
[40] ON THE PROPAGATION OF ELASTIC WAVES IN AEOLOTROPIC MEDIA .3. MEDIA OF CUBIC SYMMETRY
MILLER, GF
MUSGRAVE, MJP
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1956, 236 (1206): : 352 - 383

← 1 2 3 4 5 →