2023/01/16 by Kirill E. Kazakov, Svetlana P. Kurdina, S P Kurdina
Computer Science · Engineering · Mathematics · #Adhesion, Friction, and Surface Interactions #Basis (linear algebra) #Coating #Composite material #Contact Mechanics and Variational Inequalities #Foundation (evidence) #Geometry #Integral equation #Materials science #Mathematical analysis #Mathematics #Mechanical stress and fatigue analysis #Plane (geometry) #Representation (politics) #Series (stratigraphy) #Statement (logic) #Variable (mathematics) #Viscoelasticity
paper · pdf · doi:10.1002/mma.9037
crossref issued 2023/01/16 · crossref published 2023/01/16 · crossref published-online 2023/01/16 · openalex publication_date 2023/01/16 · crossref created 2023/01/17 · crossref deposited 2023/10/20 · crossref published-print 2023/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05 · crossref indexed 2026/08/05
The article deals with the most general formulation of the problem of the interaction of a system of rigid punches and a viscoelastic aging foundation covered by several different nonuniform thin layers of variable thickness. It is shown that the mathematical model of such a problem is a system of mixed integral equations with additional integral conditions. On the basis of a special approach described in present article, an analytical solution is obtained in series for various versions of the problem statement. It is indicated that the obtained solution representation is effective even in the case when the properties of the coating layers and the shape of the contacting surfaces are described by complex functions.