On the completeness of a method of potentials in elastodynamics

被引：13

作者：

Pak, Ronald Y. S. ^{[1
]}

Eskandari-Ghadi, Morteza ^{[1
]}

机构：

[1] Univ Colorado, Dept Civil Environm & Architectural Engn, Boulder, CO 80309 USA

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2007年 / 65卷 / 04期

关键词：

D O I：

10.1090/S0033-569X-07-01074-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the theoretical foundation of a compact scalar potential method in three-dimensional classical elastodynamics is substantiated. Beginning with a derivation of two basic lemmas on the decomposition and integration of wave solutions and vector fields which are apt to be of interest to general mechanics and analysis, the treatment proceeds to a proof of the completeness of the proposed representation as well as its extension to non-zero body forces.

引用

页码：789 / 797

页数：9

共 23 条

[1] Achenbach JD, 1973, Wave Propagation in Elastic Solids
[2] Apostol T M, 1957, MATH ANAL
[3] Freiberger W., 1949, AUST J SCI RES A, V2, P483
[4] Fung Y. C., 1965, Foundations of Solid Mechanics
[5] Gurtin M.E., 1972, HDB PHYS, P1
[6] GURTIN ME, 1962, ARCH RATION MECH AN, V9, P225
[7] Kellogg O D., 1953, Foundations of Potential Theory
[8] Love A., 1927, A Treatise on the Mathematical Theory of Elasticity
[9] Miklowitz J, 1978, The theory of elastic waves and waveguides
[10] ON THE COMPLETENESS OF THE PAPKOVICH POTENTIALS
MILLAR, RF
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1984, 41 (04) : 385 - 393

← 1 2 3 →