In engineering application, analyzing the temperature field of structures is often necessary. The contact surface is constituted by the superposition of different scales of rough surfaces because it is not completely smooth. When heat is transferred between these two contact surfaces, the surfaces are in incomplete contact, and a temperature difference is formed on the contact surface. The non -smooth contact surface also delays the thermal equilibrium time in numerical simulation. In this paper, the W-M fractal function is used to reconstruct the rough surface of the experimental plate according to its profile parameters, then the nonuniform B-spline global surface interpolation method is used to aid the construction of a 3D surface that could keep the true shape of the plate to the greatest extent, and the 3D rough surface with the same size as the experimental plate is reconstructed by reverse engineering. Finally, the heat transfer characteristics of non-smooth contact are simulated and analyzed by using the finite element method, and verified by experiments. Experimental and simulation results show that the actual contact area of the plate is about 7.09% of the nominal contact area. The research method in this paper can be utilized to study not only the heat conduction characteristics of the contact surface but also engineering problems such as friction and wear of the contact surfaces.

在工程应用中，往往需要对结构的温度场进行分析。接触面是由不同尺度的粗糙面叠加而成，因为它不是完全光滑的。当热量在这两个接触面之间传递时，表面处于不完全接触状态，在接触面上形成温差。在数值模拟中，非光滑的接触表面还会延迟热平衡时间。本文利用WM分形函数根据其轮廓参数重建实验板的粗糙表面，然后使用非均匀B样条全局表面插值方法辅助构建3D表面，保持真实性。最大限度地保持板材的形状，通过逆向工程重建与实验板尺寸相同的3D粗糙表面。最后，利用有限元方法对非光滑接触传热特性进行了模拟分析，并通过实验进行了验证。实验和仿真结果表明，板的实际接触面积约为标称接触面积的7.09%。利用本文的研究方法，不仅可以研究接触面的导热特性，还可以研究接触面的摩擦磨损等工程问题。实验和仿真结果表明，板的实际接触面积约为标称接触面积的7.09%。利用本文的研究方法，不仅可以研究接触面的导热特性，还可以研究接触面的摩擦磨损等工程问题。实验和仿真结果表明，板的实际接触面积约为标称接触面积的7.09%。利用本文的研究方法，不仅可以研究接触面的导热特性，还可以研究接触面的摩擦磨损等工程问题。