首页|Frictional contact analysis of a rigid solid with periodic surface sliding on the thermoelectric material

Frictional contact analysis of a rigid solid with periodic surface sliding on the thermoelectric material

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Understanding and characterizing rough contact and wavy surfaces are essential for developing effective strategies to mitigate wear,optimize lubrication,and enhance the overall performance and durability of mechanical systems.The sliding friction contact problem between a thermoelectric(TE)half-plane and a rigid solid with a periodic wavy surface is the focus of this investigation.To simplify the problem,we utilize mixed boundary conditions,leading to a set of singular integral equations(SIEs)with the Hilbert kernels.The analytical solutions for the energy flux and electric current density are obtained by the variable transform method in the context of the electric and temperature field.The contact problem for the elastic field is transformed into the second-kind SIE and solved by the Jacobi polynomials.Notably,the smoothness of the wavy contact surface ensures that there are no singularities in the surface contact stress,and ensures that it remains free at the contact edge.Based on the plane strain theory of elasticity,the analysis primarily examines the correlation between the applied load and the effective contact area.The distribution of the normal stress on the surface with or without TE loads is discussed in detail for various friction coefficients.Furthermore,the obtained results indicate that the in-plane stress decreases behind the trailing edge,while it increases ahead of the trailing edge when subjected to TE loads.

wavy surfaceperiodic contactthermoelectric(TE)materialHilbert integral kernel

Yali ZHANG、Yueting ZHOU、Shenghu DING

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School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China

School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNingxia Hui Autonomous Region Science and Technology Innovation Leading Talent Training Project of ChinaNatural Science Foundation of Ningxia of ChinaNatural Science Foundation of Ningxia of China

122620331227226912062021120620222020GKLRLX012023AAC020032022AAC03001

2024

10.1007/s10483-024-3075-7

应用数学和力学(英文版)
上海大学

应用数学和力学(英文版)

影响因子：0.294
ISSN：0253-4827
年,卷(期)：2024.45(1)
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