Elastodynamic contact problem for coaxial penny-shaped cracks

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The present paper is devoted to the solution of the three-dimensional fracture mechanics problem for linearly elastic, homogeneous and isotropic solid with two coaxial penny-shaped cracks under normally incident harmonic tension-compression wave with allowance for the contact interaction of cracks’ adjoining edges.

The considered nonlinear problem with the Signorini unilateral constraints is solved by the method of boundary integral equations using the iteration algorithm, which is based on the variational principles of the elastodynamics. The dependence of the normalized stress intensity factor (opening mode) versus the mutual arrangement of cracks is studied for different wave numbers.

The present numerical results are compared with corresponding those obtained without allowance for the contact interaction of cracks’ edges.
Original languageEnglish
Title of host publicationCD-Proceedings of XXXII International Summer School
Subtitle of host publicationConference "Advanced Problems in Mechanics"
PublisherIPME RAS
Number of pages8
Publication statusPublished - 1 Aug 2004
EventXXXII International Summer School - Conference "Advanced Problems in Mechanics" - St.Petersburg (Repino), Russian Federation
Duration: 24 Jun 20041 Jul 2004
Conference number: 32


ConferenceXXXII International Summer School - Conference "Advanced Problems in Mechanics"
Abbreviated titleAPM2004
Country/TerritoryRussian Federation
CitySt.Petersburg (Repino)
Internet address

Bibliographical note

This research was supported by the German Academic Exchange Service (DAAD, Ref. 322, PKZ: A/03/12873) at the University of Stuttgart, IANS. The author is deeply grateful to Professor W.L. Wendland for helpful discussions.


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