TY - JOUR
T1 - Transmission conditions for thin curvilinear close to circular heat-resistant interphases in composite ceramics
AU - Andreeva, Daria
AU - Miszuris, Wiktoria
AU - Zagnetko, Alexander
N1 - This is the author accepted manuscript. The final version is available from Elsevier via http://dx.doi.org/10.1016/j.jeurceramsoc.2016.01.023
PY - 2016/8/1
Y1 - 2016/8/1
N2 - 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.
AB - 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.
KW - heat transfer
KW - nonlinear thin interphase
KW - asymptotic methods
KW - transmission conditions
UR - http://hdl.handle.net/2160/42706
U2 - 10.1016/j.jeurceramsoc.2016.01.023
DO - 10.1016/j.jeurceramsoc.2016.01.023
M3 - Article
SN - 0955-2219
VL - 36
SP - 2283
EP - 2293
JO - Journal of the European Ceramic Society
JF - Journal of the European Ceramic Society
IS - 9
ER -