Fractal model of contact thermal conductance of the joint surface based on semi-ellipsoid asperity
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摘要: 基于K-E模型和三维分形理论，将结合面接触点拓展为椭圆形，建立了考虑半椭球形微凸体弹性、弹塑性和塑性变形机制的结合面接触热导分形模型。基于所建模型研究了椭圆偏心率、分形参数和法向载荷对结合面接触热导的影响，模型仿真结果表明：微凸体为半椭球形的结合面接触热导随椭圆偏心率、分形维数、法向载荷和接触率的增大而增大；而随着分形粗糙度参数的增大而减小；所建模型较于半球形微凸体的结合面接触热导模型更适用于法向载荷较大的情况。并将所建模型的仿真计算结果与实验数据进行了对比分析，验证了所建模型的正确性，从而为实际工程中求解有关结合面接触热导问题提供了一定的理论参考。Abstract: Based on the K-E model and three-dimensional fractal theory, the contact point of the contact surface was extended to an ellipse, and a fractal model of the contact thermal conductance of the joint surface was established considering the elastic, elastic-plastic and plastic deformation mechanism of the semi-ellipsoid asperity. Based on the built model, the effects of elliptical eccentricity, fractal parameters, and normal load on the contact thermal conductance of the joint surface are studied, and the simulation results show that the contact thermal conductance of the interface in which the asperity is semi-ellipsoid increases with the increase of elliptic eccentricity, the fractal dimension, normal load and contact ratio, but decreases with increase of the fractal roughness parameter. Compared with the contact thermal conductance of hemispherical asperity, the built model is more suitable for the case of large normal load. The simulation results of the built model are also compared with the experimental data to verify the correctness of the built model, which provides a certain theoretical reference for solving the contact thermal conductance of the joint surface in practical engineering.
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Key words:
- ellipsoid /
- eccentricity /
- joint surface /
- contact thermal conductance /
- fractal model
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