Abstract A theoretical frictional contact model of thermoelectric materials with nonlinear thermoelectric coupling loaded by a sliding punch is considered in which the punch is also assumed to be an electrical and thermal conductor. For the electric fields and the temperature fields, some analytical results are obtained by Fourier transform technique, such as the full field closed-form formulas of the electrochemical potential, the temperature, the electric current density and the energy flux. The distributions of normal electric current density and normal energy flux at subsurface are graphically given. For the elastic fields, the thermoelastic contact problem is reduced to a singular integral equation of the second kind in which thermoelectric effects are reflected in the right end of the resulting equation. The present results demonstrate that the normal electric current density, the normal energy flux and the contact pressure on the contact surface of thermoelectric materials exhibit high singularity in the vicinity of the edges of the punch. Furthermore, the effects of the friction coefficient and the thermoelectric loads on the critical stresses, the electric current density intensity factor, the energy flux intensity factor and the stress intensity factor are provided. The finding of the presented model is helpful for accessing the surface wear resistance of thermoelectric materials.

中文翻译：

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刚性冲头在热电材料上滑动的摩擦接触问题

摘要 考虑了由滑动冲头加载的具有非线性热电耦合的热电材料的理论摩擦接触模型，其中冲头也被假定为电和热导体。对于电场和温度场，通过傅里叶变换技术得到了电化学势、温度、电流密度和能量通量的全场闭式公式等分析结果。以图形方式给出了地下的法向电流密度和法向能通量的分布。对于弹性场，热弹性接触问题简化为第二类奇异积分方程，其中热电效应反映在所得方程的右端。目前的结果表明，热电材料接触面上的法向电流密度、法向能通量和接触压力在冲头边缘附近表现出高奇异性。此外，还提供了摩擦系数和热电载荷对临界应力、电流密度强度因子、能量通量强度因子和应力强度因子的影响。所提出模型的发现有助于获得热电材料的表面耐磨性。给出了摩擦系数和热电载荷对临界应力、电流密度强度因子、能量通量强度因子和应力强度因子的影响。所提出模型的发现有助于获得热电材料的表面耐磨性。给出了摩擦系数和热电载荷对临界应力、电流密度强度因子、能量通量强度因子和应力强度因子的影响。所提出模型的发现有助于获得热电材料的表面耐磨性。