Temperature and thermal flux distribution around the strip flake crack under heat conduction

The temperature and thermal flux fields are one of the important problems in solid mechanics, especially when the material properties change with temperature, such as in the process of heat conduction. Using the generalized complex variable method, the problem with circular boundary obtained by conformal transformation have been discussed. However, it is not suitable for the model whose cross-sectional shape is invariable. In this paper, using semi-inverse method we solve the three-dimensional temperature-dependent heat conduction problem of strip flake crack whose cross-sectional shape is invariable. The temperature-thermal flux fields have been obtained. The results show that the thermal flux field of three-dimensional temperature dependent problem is the same as the classical result, while the temperature field is different from the classical result.