Abstract
In this chapter, the non-Fourier heat conduction models such as the hyperbolic heat conduction, dual phase lag heat conduction, and the memory-dependent fractional heat conduction models are used to deal with crack problems in advanced composite materials. A few typical examples, such as cracks in a half-plane with a thin film coating, partially-insulated crack with thermal insulation interior, circumferential crack in a hollow cylinder and viscoelastic materials are be presented to illustrate the use of the models and the unique features of the heat conduction models revealed in these problems.
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