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

[21] A generalized Helmholtz equation fundamental solution using a conformal mapping and dependent variable transformation [J].

Shaw, RP ;

Manolis, GD .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2000, 24 (02) :177-188

[22]

Trifunac MD, 1972, INT J EARTHQ ENG STR, V1, P267

[23] An analytical approach for the scattering of SH waves by a symmetrical V-shaped canyon:: shallow case [J].

Tsaur, Deng-How ;

Chang, Kao-Hao .

GEOPHYSICAL JOURNAL INTERNATIONAL, 2008, 174 (01) :255-264

[24] An analytical approach for the scattering of SH waves by a symmetrical V-shaped canyon: deep case [J].

Tsaur, Deng-How ;

Chang, Kao-Hao ;

Hsu, Ming-Sheng .

GEOPHYSICAL JOURNAL INTERNATIONAL, 2010, 183 (03) :1501-1511

[25] Dynamic behaviour of rigid inclusions with circumferential damage embedded in an elastic matrix [J].

Weber, Wolfgang E. ;

Manolis, George D. .

ARCHIVE OF APPLIED MECHANICS, 2017, 87 (07) :1095-1104

[26] SH-wave propagation in a continuously inhomogeneous half-plane with free-surface relief by BIEM [J].

Wuttke, Frank ;

Fontara, Ioanna-Kleoniki ;

Dineva, Petia ;

Rangelov, Tsviatko .

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2015, 95 (07) :714-729

[27] A complex function method of SH wave scattering in inhomogeneous medium [J].

Yang, Zai-lin ;

Zhang, Chong-qun ;

Jiang, Guan-xi-xi ;

Yan, Pei-lei ;

Yang, Yong .

ACTA MECHANICA, 2017, 228 (10) :3469-3481

[28] An exact solution for SH-wave scattering by a radially multilayered inhomogeneous semicylindrical canyon [J].

Zhang, Ning ;

Zhang, Yu ;

Gao, Yufeng ;

Pak, Ronald Y. S. ;

Wu, Yongxin ;

Zhang, Fei .

GEOPHYSICAL JOURNAL INTERNATIONAL, 2019, 217 (02) :1232-1260

[29] An analytical solution to the scattering of cylindrical SH waves by a partially filled semi-circular alluvial valley: near-source site effects [J].

Zhang Ning ;

Gao Yufeng ;

Yang Jie ;

Xu Changjie .

EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION, 2015, 14 (02) :189-201

← 1 2 3 →