zbMATH — the first resource for mathematics

Transient thermal response of a partially insulated crack in an orthotropic functionally graded strip under convective heat supply. (English) Zbl 1232.74091
Summary: The transient response of an orthotropic functionally graded strip with a partially insulated crack under convective heat transfer supply is considered. It is modeled there exists thermal resistant in the heat conduction through the crack region. The mixed boundary value problems of the temperature field and displacement field are reduced to a system of singular integral equations in Laplace domain. The expressions with high order asymptotic terms for the singular integral kernel are considered to improve the accuracy and efficiency. The numerical results present the effect of the material nonhomogeneous parameters, the orthotropic parameters and dimensionless thermal resistant on the temperature distribution and the transient thermal stress intensity factors with different dimensionless timet.

74R10 Brittle fracture
74F05 Thermal effects in solid mechanics
Full Text: DOI