A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane

被引：15
作者：
Wootton, Peter T. [1 ,2 ]
Kaplunov, Julius [1 ,3 ]
Prikazchikov, Danila [1 ]
机构：
[1] Keele Univ, Sch Comp & Math, Keele ST5 5BG, Staffs, England
[2] Univ Glasgow, Sch Math & Stat, Glasgow G12 8QQ, Lanark, Scotland
[3] Al Farabi Kazakh Natl Univ, Alma Ata 050040, Kazakhstan
来源：
IMA JOURNAL OF APPLIED MATHEMATICS | 2020年 / 85卷 / 01期
关键词：
Rayleigh waves; asymptotic; second order; SURFACE;
D O I：
10.1093/imamat/hxz037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive a second-order correction to an existing leading-order model for surface waves in linear elasticity. The same hyperbolic-elliptic equation form is obtained with a correction term added to the surface boundary condition. The validity of the correction term is shown by re-examining problems which the leading-order model has been applied to previously, namely a harmonic forcing, a moving point load and a periodic array of compressional resonators.
引用
收藏
页码：113 / 131
页数：19
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