Materials Science

, Volume 44, Issue 6, pp 805–814 | Cite as

Limiting state of an orthotropic plate weakened by a periodic system of collinear cracks

  • O. S. Bohdanova

On the basis of a modified δ c -model of cracks, we study the limiting state of an orthotropic plate made of a material satisfying the general strength condition and weakened by a system of collinear cracks. The relations for the determination of major parameters of the model of cracks (the size of process zones, stresses in these zones, and the crack-tip opening displacements) are deduced. The mechanism of fracture of the plate containing a periodic system of collinear cracks is investigated. The influence of the degree of anisotropy and geometric parameters of the problem on the formation of the process zones and limiting state of the plate is revealed. The region of safe loading of an orthotropic viscoelastic plate with cracks is determined. The influence of the rheological parameters of the material on the region of safe loading is analyzed.


Process Zone Periodic System Biaxial Loading Single Crack Orthotropic Plate 
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© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • O. S. Bohdanova
    • 1
  1. 1.Timoshenko Institute of MechanicsUkrainian National Academy of SciencesKyivUkraine

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