Open AccessMethod for studying mixed problems in modeling structurally inhomogeneous materials with coatings
Author(s) -
А. В. Павлова,
I.S. Telyatnikov
Publication year - 2019
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 - 10.1088/1742-6596/1353/1/012069
Subject(s) - factorization , integral equation , coating , mathematical analysis , layer (electronics) , differential equation , differential (mechanical device) , materials science , mathematics , mechanics , physics , composite material , thermodynamics , algorithm
The paper investigates steady-state oscillations of an elastic medium of a layered structure, containing internal defects such as flat cavity-cracks and coating, using the differential factorization method. Systems of integral equations that describe relations between stresses and displacements in the planes of layer separation with jumps of displacements on the crack faces are constructed. The authors obtain solutions of the resulting integral equation systems for particular cases of areas occupied by defects in the final form using the Wiener-Hopf integral factorization methods or the methods of fictitious absorption.