Scattering of SH-Wave by Cracks Originating at an Elliptic Hole and Dynamic Stress Intensity Factor

LIU Dian-kui; CHEN Zhi-gang

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(9): 958-966

LIU Dian-kui, CHEN Zhi-gang. Scattering of SH-Wave by Cracks Originating at an Elliptic Hole and Dynamic Stress Intensity Factor[J]. Applied Mathematics and Mechanics, 2004, 25(9): 958-966.

Citation:

LIU Dian-kui, CHEN Zhi-gang. Scattering of SH-Wave by Cracks Originating at an Elliptic Hole and Dynamic Stress Intensity Factor[J]. Applied Mathematics and Mechanics, 2004, 25(9): 958-966.

Citation:

LIU Dian-kui, CHEN Zhi-gang. Scattering of SH-Wave by Cracks Originating at an Elliptic Hole and Dynamic Stress Intensity Factor[J]. Applied Mathematics and Mechanics, 2004, 25(9): 958-966.

PDF( 358 KB)

Scattering of SH-Wave by Cracks Originating at an Elliptic Hole and Dynamic Stress Intensity Factor

LIU Dian-kui¹,
CHEN Zhi-gang²

1.
School of Civil Engineering, Harbin Engineering University, Harbin 150001, P. R. China;

Received Date: 2002-05-20
Rev Recd Date: 2004-04-24
Publish Date: 2004-09-15

Abstract

Abstract

The method of complex function and the method of Green's function are used to investigate the problem of SH-wave scattering by radial cracks of any limited length along the radius originating at the boundary of an elliptical hole,and the solution of dynamic stress intensity factor at the crack tip was given.A Green's function was constructed for the problem,which is a basic solution of displacement field for an elastic half space containing a half elliptical gap impacted by anti-plane harmonic linear source force at any point of its horizontal boundary.With division of a crack technique,a series of integral equations can be established on the conditions of continuity and the solution of dynamic stress intensity factor can be obtained.The influence of an elliptical hole on the dynamic stress intensity factor at the crack tip was discussed.
- crack originating at elliptical hole,
- SH-wave scattering,
- Green.s function,
- dynamic stress intensity factor(DSIF),
- complex function,
- integral equation

FullText(HTML)

References(7)

References

[1]	Sih G C.Mechanics of Fracture[M].Leyden: Noordhoff, 1973.
[2]	Sih G C.Mechanics of Fracture[M].Leyden: Noordhoff, 1977.
[3]	王铎,汪越胜.界面动力学研究近况[J].上海力学,1993，14(4):1—15.
[4]	Sih G C. Stress distribution near internal crack tips for longitudinal shear problems[J].ASME Journal of Applied Mechanics,1965,32(1):51—58. doi: 10.1115/1.3625783
[5]	刘殿魁,刘宏伟. 孔边裂纹对SH波的散射及其动应力强度因子[J].力学学报,1999,31(3):292—298.
[6]	LIU Dian-kui,GAI Bing-zheng,TAO Gui-yuan. Applications of the method of complex function to dynamic stress concentration[J].Wave Motion,1982，4(4):293—304. doi: 10.1016/0165-2125(82)90025-7
[7]	Loeber J F,Sih G C. Diffraction of anti-plane shear waves by a finite crack[J].Journal of the Acoustical Society of America, 1968,44(1):90—98. doi: 10.1121/1.1911091