Application of mapping theory to boundary integral formulation of 3D dynamic crack problems

被引:10
|
作者
Sladek, J [1 ]
Sladek, V
Mykhas'kiv, VV
Stankevych, VZ
机构
[1] Slovak Acad Sci, Inst Construct & Architecture, Bratislava 84220, Slovakia
[2] Pidstryhach Inst Appl Problems Mech & Math, UA-79060 Lvov, Ukraine
[3] State Univ Lvivska Politech, UA-79013 Lvov, Ukraine
关键词
boundary integral equations; mapping theory; time-domain; frequency domain; 3D infinite solid; elliptic crack; limacon of Pascal-shaped crack; dynamic stress intensity factor;
D O I
10.1016/S0955-7997(02)00113-3
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The boundary integral equations (BIEs) method is applied for dynamic analysis of an infinite solid with a plane crack of general front shape. The bijective mapping of the crack area into a circular domain is used to derive a new form of the BIEs. In the transforming process the behavior of both the displacement and stress fields in the vicinity of the crack front are considered exactly. The discrete analogues of these equations are constructed in the time and frequency domains. The influence of varying curvature of the crack front on stress intensity factors is studied for elliptic and 'limaqon of Pascal'-shaped cracks subjected to the normal Heaviside step and time-harmonic loading. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
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页码:203 / 213
页数:11
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