On Rayleigh wave field induced by surface stresses under the effect of gravity

被引：5

作者：

Mubaraki, Ali ^{[1
]}

Prikazchikov, Danila ^{[2
,3
]}

机构：

[1] Taif Univ, Coll Sci, Dept Math & Stat, At Taif, Saudi Arabia

[2] Keele Univ, Sch Comp & Math, Keele ST5 5BG, Staffs, England

[3] Al Farabi Kazakh Natl Univ, Fac Mech & Math, Alma Ata, Kazakhstan

来源：

MATHEMATICS AND MECHANICS OF SOLIDS | 2022年 / 27卷 / 09期

关键词：

Rayleigh wave; gravity; hyperbolic-elliptic; elastic; dispersion; MODEL; PROPAGATION; FOUNDATIONS; STONELEY;

D O I：

10.1177/10812865221080550

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The paper is concerned with development of the asymptotic formulation for surface wave field induced by vertical surface stress under the effect of gravity in the short-wave region. The approach relies on the methodology of hyperbolic-elliptic models for the Rayleigh wave and results in a regularly perturbed hyperbolic equation on the surface acting as a boundary condition for the elliptic equation governing decay over the interior. A special value of the Poisson's ratio v = 0.25 is pointed out, at which the effect of gravity disappears at leading order.

引用

页码：1771 / 1782

页数：12

共 36 条

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