Abstract
The solution of a plane problem of elasticity theory for an orthotropic plane with semiinfinite rounded V-notch under the action of symmetric loads is obtained by the method of singular integral equations. By using this solution, we deduce the relations between the stress intensity factor at the sharp tip of the V-notch and the normal stresses at the tip of the corresponding rounded notch. For bounded bodies with V-notches, the indicated solution is obtained as an asymptotic relation for small radii of rounding of their tips. The presented relation can be used in the limit transitions in order to find the stress intensity factor at the tips of sharp V-notches according to the solutions for the corresponding rounded stress concentrators.
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