Contact problems for bodies with complex coatings. (10th December 2019)

• Record Type: Journal Article
• Authors: Kazakov, Kirill; Kurdina, Svetlana
• Other Names: Simos Theodore guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 13(2020)
• Page Start: 7692
• Page End: 7705
• Publication Date: 2019-12-10
• Subjects: contact -- linear integral equations -- nonuniform coatings -- projection method; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6107
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The paper deals with various statements and mathematical models of contact and contact‐wear problems for bodies with coatings. It is shown that the mathematical models for a number of such problems can be represented as a mixed integral equation or a system of mixed integral equations with additional conditions. It is also shown that these equations contain rapidly varying or even discontinuous functions in the case of interaction between bodies of complex shape and with some surface properties. Therefore, it is necessary to use a special approach for constructing efficient analytic solutions. Its implementation is demonstrated by an example.