Scattering of cylindrical inclusions in half space with inhomogeneous shear modulus due to SH wave

被引：9

作者：

Yang, Zailin ^{[1
,2
]}

Bian, Jinlai ^{[1
]}

Song, Yunqiu ^{[1
]}

Yang, Yong ^{[1
,2
]}

Sun, Menghan ^{[1
,2
]}

机构：

[1] Harbin Engn Univ, Coll Aerosp & Civil Engn, Harbin 150001, Peoples R China

[2] Harbin Engn Univ, Key Lab Adv Mat Ship & Mech, Minist Ind & Informat Technol, Harbin, Peoples R China

来源：

ARCHIVE OF APPLIED MECHANICS | 2021年 / 91卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Dynamic response; Inhomogeneous medium; Complex function; Auxiliary function; Shear modulus; V-SHAPED CANYON; DYNAMIC-RESPONSE; CIRCULAR CAVITY; STRESS;

D O I：

10.1007/s00419-021-01975-5

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Dynamic responses around cylindrical inclusion in inhomogeneous medium are discussed. A mathematical model of inhomogeneous half space is established. The shear modulus of the medium is assumed to change in two dimensions. Based on complex function theory, the governing equations are derived. Meanwhile, the auxiliary function is introduced. By solving the governing equation, the analytical expressions of the displacement field and stress field formed by Bessel function and Hankel function are obtained. The unknown coefficients can be obtained by boundary conditions. According to numerical examples, the results of this paper are compared with published results to verify the validity of the method. Meanwhile, the effects of inhomogeneous parameters, reference wave number and burial location on the dynamic stress concentration factor (DSCF) around a cylindrical inclusion are discussed.

引用

页码：3449 / 3461

页数：13

共 29 条

[1]

Achenbach J., 1973, Wave Propagation in Elastic Solids

[2] Scattering problems of the SH Wave by Using the Null-Field Boundary Integral Equation Method [J].

Chen, Jeng-Tzong ;

Kao, Shing-Kai ;

Hsu, Yin-Hsiang ;

Fan, Yu .

JOURNAL OF EARTHQUAKE ENGINEERING, 2018, 22 (01) :1-35

[3] SH wave scattering from 2-D fractures using boundary element method with linear slip boundary condition [J].

Chen, Tianrun ;

Fehler, Michael ;

Fang, Xinding ;

Shang, Xuefeng ;

Burns, Daniel .

GEOPHYSICAL JOURNAL INTERNATIONAL, 2012, 188 (01) :371-380

[4] Green's function for SH-waves in inhomogeneous anisotropic elastic solid with power-function velocity variation [J].

Daros, C. H. .

WAVE MOTION, 2013, 50 (02) :101-110

[5]

Emets VF, 2004, ARCH APPL MECH, V73, P769, DOI 10.1007/S00419-004-0323-z

[6] Dynamic stress of a circular cavity buried in a semi-infinite functionally graded material subjected to shear waves [J].

Fang, Xue-qian ;

Hu, Chao ;

Du, Shan-yi .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2007, 74 (05) :916-922

[7] Seismic wave fields in continuously inhomogeneous media with variable wave velocity profiles [J].

Fontara, Ioanna-Kleoniki M. ;

Dineva, Petia S. ;

Manolis, George D. ;

Parvanova, Sonia L. ;

Wuttke, Frank .

ARCHIVE OF APPLIED MECHANICS, 2016, 86 (1-2) :65-88

[8] Effects of SH waves in a functionally graded plate [J].

Han, X ;

Liu, GR .

MECHANICS RESEARCH COMMUNICATIONS, 2002, 29 (05) :327-338

[9] Anti-plane (SH) waves diffraction by an underground semi-circular cavity: analytical solution [J].

Hao, Luo ;

Lee, Vincent W. ;

Liang Jianwen .

EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION, 2010, 9 (03) :385-396

[10] Dynamic analysis of elastic waves by an arbitrary cavity in an inhomogeneous medium with density variation [J].

Hei, Baoping ;

Yang, Zailin ;

Wang, Yao ;

Liu, Diankui .

MATHEMATICS AND MECHANICS OF SOLIDS, 2016, 21 (08) :931-940

← 1 2 3 →