Lamb's problem for solids of general anisotropy

C. Y. Wang; J. D. Achenbach

doi:10.1016/S0165-2125(96)00016-9

Lamb's problem for solids of general anisotropy

C. Y. Wang^*, J. D. Achenbach

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

A method to construct solutions for elastic waves generated in a half-space has been developed, based on representing the wave field by a superposition of time-transient plane waves. By the use of this method, the classical Lamb's problem has been solved for a solid of general anisotropy. New expressions for the 2-D and 3-D solutions to Lamb's problem in both the time-domain and the frequency-domain have been obtained. These expressions, which have been given in terms of integrals defined in a finite domain, have a simple structure which is attractive for numerical applications. The usefulness and computability of the integral expressions have been demonstrated by numerical examples.

Original language	English (US)
Pages (from-to)	227-242
Number of pages	16
Journal	Wave Motion
Volume	24
Issue number	3
DOIs	https://doi.org/10.1016/S0165-2125(96)00016-9
State	Published - Nov 1996

ASJC Scopus subject areas

Modeling and Simulation
Physics and Astronomy(all)
Computational Mathematics
Applied Mathematics

Access to Document

10.1016/S0165-2125(96)00016-9

Cite this

@article{b20c5790d11341b6a1257e65681cc3f1,

title = "Lamb's problem for solids of general anisotropy",

abstract = "A method to construct solutions for elastic waves generated in a half-space has been developed, based on representing the wave field by a superposition of time-transient plane waves. By the use of this method, the classical Lamb's problem has been solved for a solid of general anisotropy. New expressions for the 2-D and 3-D solutions to Lamb's problem in both the time-domain and the frequency-domain have been obtained. These expressions, which have been given in terms of integrals defined in a finite domain, have a simple structure which is attractive for numerical applications. The usefulness and computability of the integral expressions have been demonstrated by numerical examples.",

author = "Wang, {C. Y.} and Achenbach, {J. D.}",

note = "Funding Information: This work was supportedb y the Office of Naval Researchu nder Grant NO00148 9-J-1362.",

year = "1996",

month = nov,

doi = "10.1016/S0165-2125(96)00016-9",

language = "English (US)",

volume = "24",

pages = "227--242",

journal = "Wave Motion",

issn = "0165-2125",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Lamb's problem for solids of general anisotropy

AU - Wang, C. Y.

AU - Achenbach, J. D.

N1 - Funding Information: This work was supportedb y the Office of Naval Researchu nder Grant NO00148 9-J-1362.

PY - 1996/11

Y1 - 1996/11

N2 - A method to construct solutions for elastic waves generated in a half-space has been developed, based on representing the wave field by a superposition of time-transient plane waves. By the use of this method, the classical Lamb's problem has been solved for a solid of general anisotropy. New expressions for the 2-D and 3-D solutions to Lamb's problem in both the time-domain and the frequency-domain have been obtained. These expressions, which have been given in terms of integrals defined in a finite domain, have a simple structure which is attractive for numerical applications. The usefulness and computability of the integral expressions have been demonstrated by numerical examples.

AB - A method to construct solutions for elastic waves generated in a half-space has been developed, based on representing the wave field by a superposition of time-transient plane waves. By the use of this method, the classical Lamb's problem has been solved for a solid of general anisotropy. New expressions for the 2-D and 3-D solutions to Lamb's problem in both the time-domain and the frequency-domain have been obtained. These expressions, which have been given in terms of integrals defined in a finite domain, have a simple structure which is attractive for numerical applications. The usefulness and computability of the integral expressions have been demonstrated by numerical examples.

UR - http://www.scopus.com/inward/record.url?scp=0030285934&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030285934&partnerID=8YFLogxK

U2 - 10.1016/S0165-2125(96)00016-9

DO - 10.1016/S0165-2125(96)00016-9

M3 - Article

AN - SCOPUS:0030285934

SN - 0165-2125

VL - 24

SP - 227

EP - 242

JO - Wave Motion

JF - Wave Motion

IS - 3

ER -

Lamb's problem for solids of general anisotropy

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this