On Analytic Constraints and Elements Methods in Modeling Stresses near the Tips of Cracks and V-Notches

摘要

The work deals with the application of the methods of analytic constraints and analytic elements in modeling stress fields near the tips of cracks and V-notches in elastic bodies. Both methods are based on the combined application of some analytic solutions for stress concentrators and the finite-element method. By using the proposed approach, we perform the numerical analysis of singular stresses formed in plates containing cracks or angular notches under the action of loads of various types.