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Abstract
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.
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 language | English |
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| Title of host publication | CD-Proceedings of XXXII International Summer School |
| Subtitle of host publication | Conference "Advanced Problems in Mechanics" |
| Publisher | IPME RAS |
| Number of pages | 8 |
| Publication status | Published - 1 Aug 2004 |
| Event | XXXII International Summer School - Conference "Advanced Problems in Mechanics" - St.Petersburg (Repino), Russian Federation Duration: 24 Jun 2004 → 1 Jul 2004 Conference number: 32 http://apm-conf.spb.ru/old/2004/ |
Conference
| Conference | XXXII International Summer School - Conference "Advanced Problems in Mechanics" |
|---|---|
| Abbreviated title | APM2004 |
| Country/Territory | Russian Federation |
| City | St.Petersburg (Repino) |
| Period | 24/06/04 → 1/07/04 |
| 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.Fingerprint
Dive into the research topics of 'Elastodynamic contact problem for coaxial penny-shaped cracks'. Together they form a unique fingerprint.Activities
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XXXII International Summer School - Conference "Advanced Problems in Mechanics"
Oleksandr Menshykov (Speaker)
24 Jun 2004 → 1 Jul 2004Activity: Attending or organising an event › Attending/organising a Conference