直角域中角点凹陷与浅埋孔洞对SH波的散射  

SH waves scattering by depression with corner points and shallow-buried cavity in a quarter space

作　　者：刘伸 杨杰(指导)[1] 王林展 LIU Shen;YANG Jie;WANG Linzhan(School of Mechanical Engineering,Shanghai Dianji University,Shanghai 201306,China)

机构地区：[1]上海电机学院机械学院,上海201306

出　　处：《上海电机学院学报》2023年第3期147-152,158,共7页Journal of Shanghai Dianji University

基　　金：国家自然科学基金项目(12002198)。

摘　　要：为得到直角域中角点凹陷与浅埋孔洞的动态响应解析解,基于波函数展开法结合“镜像”思想构造角点凹陷和浅埋孔洞处的散射波场,采用傅里叶积分变换和坐标移动技术求解散射波场中的未知系数。通过参数化分析讨论入射波角度、频率及孔洞位置变化时,直角域中角点凹陷与浅埋孔洞对水平剪切(SH)波散射的影响。结果表明:SH波高频入射时,角点凹陷与浅埋孔洞之间的距离越近,孔洞处动应力的集中现象越明显,且要特别关注垂直和水平入射的情况,此时孔洞处动应力集中系数(DSCF)最大。To obtain the dynamic anti-plane characteristics of depression with corner points and shallow-buried cavity in the quarter space,the scattered wave fields at depression with corner points and shallow-buried cavity are constructed based on the wave function expansion method combined with the“mirror”method.Fourier integral transformation and coordinate movement technique are used to solve the unknown coefficients in the scattered fields.Parametric studies are conducted to analyze the effects of depression with corner points and shallow hole on horizontal shear(SH)waves scattering in the quarter space when incident wave angle,frequency and cavity position change.Results show that when the SH waves is incident at high frequency,the closer the distance between the corner depression and the shallow-buried hole is,the more obvious the dynamic stress concentration phenomenon at the hole is,and special attention should be paid to the vertical and horizontal incident conditions.At this time,the dynamic stress concentration factor(DSCF)at the hole is the largest.

关 键 词：角点凹陷 浅埋孔洞 水平剪切(SH)波 镜像 动应力集中系数(DSCF) 

分 类 号：O343.1[理学—固体力学]