We consider a pre-stressed material containing an oblique crack of a length 2a
situated in x1x3 plane. We supposed that the material is unbounded and the crack faces are
acted by constant normal incremental stresses p. The initial applied stress
◦
is in direction of
the crack. Our first aim is to determine the elastic state produced in the body using Guz’s
representation theorem. Our second aim is to determine the critical values of the incremental
stresses and the direction of crack propagation. To do this, we use Sih’s generalised fracture
criterion for an orthotropic elastic composite. In the last part we find the critical values of the
initial applied stress
◦
for which the phenomenon of resonance can appear in a pre-stressed
Glass-Epoxy composite.
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