The research focuses on studying the formation and propagation of the fronts of longitudinal and transversely sheared cracks interacting with a rigid boundary. A novel concept of modeling is proposed, according to which the leading edge of the crack is represented by a region characterized by high gradients of velocities and stresses, spreading orthogonally relative to the main front of the plastic loading wave. The investigation examines the dependency of the intensity of secondary simple-shear and tensile cracks on the angle of incidence of the initial crack and the physico-mechanical characteristics of the material. As a result of the study, specific conditions have been identified under which reflection does not occur, thus facilitating the formation of other types of cracks distinct from the original longitudinal and transverse shear ones.

Maria I. Bykova, PhD (Phys.–Math.), Associate Professor, Department of Mathematical and Applied Analysis; e-mail: bykova_mi@amm.vsu.ru; AuthorID: 124717

Alexey V. Kovalev, Dr. Sci. (Phys.–Math.), Professor, Head of the Department of Mechanics and Computer Modeling, Voronezh State University, Voronezh, Russia; e-mail: kovalev@amm.vsu.ru; https://orcid.org/0000-0002-3730-9621; AuthorID: 11051

Nadezhda V. Minaeva, Dr. Sci. (Phys.–Math.), Professor, Head of the Department of Mechanics and Computer Modeling, Voronezh State University, Voronezh, Russia; e-mail: minaeva@yandex.ru; https://orcid.org/0000-0002-9366-5575; AuthorID: 11715

Alexander I. Shashkin, Dr. Sci. (Phys.–Math.), Professor, Head of the Department of Mathematical and Applied Analysis, Voronezh State University, Voronezh, Russia; e-mail: shashkin@amm.vsu.ru; https://orcid.org/0000-0001-9925-5019; AuthorID: 156046