elastic waves, diffraction, wedge, intensity of stress, residual deformation

The work is devoted to the investigation of the deformed state of an elastoviscoplastic material in a neighborhood of the top of the wedge-shaped cut behind diffracted wave arising as a result of directed fall of the limit elastic wave on the wedge-shaped cut. The behavior of displacements and strains has features for a diffracted surface. It leads to a singularity of their values at the top of the wedge-shaped cut and behind the diffracted surface. To resolve this features the top of the wedge-shaped cut is approximated by a circle of small radius. The behavior of the stresses and strains is approximated by a linear way on the values of the gradients of stresses and strains at a small distance from the diffracted front behind the front of the diffracted wave. Stresses and strains take values equal to zero at the front, but derivatives are unlimited along the normal. The gradients of stresses and strains are taken as the intensity of the wave on a small distance from the diffracted wave. In this paper we obtained a value of intensity of a diffracted wave in the process of its distribution and the distribution of residual strains and value of dynamic stress intensity factors in the neighborhood of the top of the wedge-shaped cut. 

Bykova Ksenya Igorevna, Candidate of physico-mathematical Sciences, Military educational scientific center of air forces "Air force Academy named after Professor A. E. Zhukovsky and Y.A. Gagarin" , Voronezh, Russia.

Bykova Mariya Igorevna, Candidate of physico-mathematical Sciences, Voronezh State University, Voronezh, Russia.

Krupenko Svetlana Evgenevna, experienced engineer of plant software product, Voronezh, Russia.