Transmission conditions for thin curvilinear close to circular heat-resistant interphases in composite ceramics. Issue 9 (August 2016)

• Record Type: Journal Article
• Authors: Andreeva, Daria; Miszuris, Wiktoria; Zagnetko, Alexander
• Is Part Of: Journal of the European Ceramic Society. Volume 36:Issue 9(2016:)
• Page Start: 2283
• Page End: 2293
• Publication Date: 2016-08
• Subjects: Heat transfer -- Nonlinear thin interphase -- Asymptotic methods -- Transmission conditions; Ceramic materials -- Periodicals; Composite materials -- Periodicals; Matériaux céramiques -- Périodiques; Composites -- Périodiques; Ceramic materials; Composite materials; Periodicals; Electronic journals; 666.05
• DOI: 10.1016/j.jeurceramsoc.2016.01.023
• Languages: English
• ISSNs: 0955-2219

Abstract

Abstract: This paper considers the problem of heat transfer in a composite ceramic material where the structural elements are bonded to the matrix via a thin heat resistant adhesive layer. The layer has the form of a circular ring or close to it. Using an asymptotic approach, the interphase is modelled by an infinitesimal imperfect interface, preserving the main features of the temperature fields around the interphase, and allowing a significant simplification where FEM analysis is concerned. The nonlinear transmission conditions that accompany such an imperfect interface are evaluated, and their accuracy is verified by means of dedicated analytical examples as well as carefully designed FEM simulations. The interphases of various geometries are analysed, with an emphasis on the influence of the curvature of their boundaries on the accuracy of the evaluated conditions. Numerical results demonstrate the benefits of the approach and its limitations.