While solving problems of linear fracture mechanics applying numerical methods, it is necessary to consider root singularity of stress and strain fields in the crack tip. Commonly they use specific finite elements (Barsoum [
]). However such approach is not very suitable in solving problems of crack growth since we need to transform finite-element mesh in this case.
In this research alternative approach using ordinary elements is offered. Some functions are added to the ordinary coordinate function system of the finite-element method to take into consideration the root singularity of stresses and strains. The additional functions result from the linear fracture mechanics problem asymptotic solution, proportional the stress intensity factors.
The stress intensity factors are included in the basic unknown quantities. The order of the resulting linear equation system is increased by number of nonzero stress intensity factors. Thus each of equation system matrix additional columns is proportional only one unknown quantity, it become possible to reduce the solution to the determination of the linear equation system with a banded matrix.
In the paper several test problems justifying the efficiency the method are solve in comparison with the ordinary finite-element solution where the stress intensity factor for the normal fracture is found by determination of J-integral. The problem of a short crack in a solid specimen with real notch geometry is considered. The obtained results are compared with ones of other researches [