Development of a method for assessing the stability of a new type of crack, the conditions of destruction of the medium and decomposability by simple solutions
Year: 2022
Type: article
Abstract: In the work with the application of the universal modeling method previously developed by the authors, an in-depth analysis of cracks of a new type was carried out. A method for constructing integral equations of a new type has been developed and methods for solving them have been proposed. New features of cracks of a new type are revealed and an approach is described that allows the study of cracks of a new type in environments of complex rheologies. The approach is based on the block element method, decomposability of solutions of complex boundary value problems by solutions of boundary value problems for simpler Helmholtz equations, factorization methods. As a result of the study, the features of the destruction of the medium by cracks of a new type and the nature of the stresses excited by harmonic oscillations of wave fields are revealed. In this paper, using the example of the Lame equations, it is shown how the formed cracks of a new type will be transferred to environments of more complex rheology using solutions for environments of simpler rheologies.
Institution: Kuban State University
Language: English
Subfield: Mechanics of Materials
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
Funder: Russian Science Foundation
OpenAlex ID: W4312831729