| 1. |
Singular elements with a notch of an arbitrary angle were constructed to determine the stress fields near through notches.
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| 2. |
To increase the accuracy of the solution, we constructed transitional singular elements which increase the size of the region re in which singularity is modeled and decrease the incompatibility between the regular and notched singular elements.
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| 3. |
A procedure was developed for determining the stress field near notches under dynamic loadings.
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| 4. |
The stress intensity factor near small-angle notches differs negligibly from the stress intensity factor near cracks of the same length under static and dynamic loadings.
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| 5. |
The finite elements that were constructed make it possible to reliably solve linear fracture mechanics problems by the finite elements method with the use of very coarse idealizations.
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The above approach was realized in the program system 
POLIFEM
for the ES series computer (by MOFAP Gosstroya SSSR).