### RESEARCH OF THE CONCENTRATION OF STRESSES IN A RECESSED PLATE USING THE METHOD OF BOUNDARY EQUATIONS

Pages 121 - 124

The subject of the research is the concentration of stresses in a plate that has two side

recesses, if the plate is exposed to the pre-set surface stress. Boundary integral equations are

derived on the basis of the reciprocity theorem. The fundamental Kelvin solution is used to define

the displacement area in the finite isotropic elastic plane. The mathematical model and the solution

algorithm, both developed by the author, represent a numerical solution designated for the plate

that has two side recesses. Comparison of results with well-known solutions demonstrates their

good convergence. The author has discovered that the smaller the radius of the recess, the higher

the stress concentration

DOI: 10.22227/1997-0935.2012.8.121 - 124

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