Open AccessSystem of cracks under the impact of plane elastic waves
Author(s) -
V G Popov
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2231/1/012004
Subject(s) - quadrature (astronomy) , plane (geometry) , singular integral , mathematical analysis , nyström method , deformation (meteorology) , equations of motion , stress field , reduction (mathematics) , stress (linguistics) , diffraction , mathematics , physics , classical mechanics , geometry , integral equation , optics , finite element method , linguistics , philosophy , meteorology , thermodynamics
The problem of determining the two-dimensional diffraction field and the stress state arising from the interaction of elastic waves with a system of arbitrarily located cracks is solved. Cracks are located in an unbounded elastic medium which is in a plane deformation state. The method of solution is based on the use of discontinuous solutions of the equations of motion of elastic media and the reduction of the original problem to a system of singular integro-differential equations. The obtained systems are solved numerically the mechanical quadrature method.