Boundary integral equations for an interface linear crack under harmonic loading

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article; Proceedings Paper

Mykhailova, I. I.¹  Menshykov, O. V.¹  Menshykova, M. V.¹  Guz, I. A.¹ 

[1] Univ Aberdeen, Sch Engn, Ctr Micro & Nanomech CEMINACS, Aberdeen AB24 3UE, Scotland

关键词: Fracture dynamics;    Boundary integral equations;    Interface crack;    Contact interaction;   

DOI  :  10.1016/j.cam.2009.08.084

来源: Elsevier

【 摘 要 】

The present study is devoted to application of boundary integral equations to the problem of a linear crack located on the bimaterial interface under time-harmonic loading. Using the Somigliana dynamic identity the system of boundary integral equations for displacements and tractions at the interface is derived. For the numerical solution the collocation method with piecewise constant approximation on each linear continuous boundary elements is used. The distributions of the displacements are computed for different values of the frequency of the incident tension-compression wave. Results are compared with static ones. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free