Abstract This paper reports an investigation of the thermoelastic frictional contact responses of an elastic sphere sliding on an elastic layer-substrate system involving imperfect interfaces. The theoretical solution and numerical modeling of the thermoelastic contact of such material systems include: (1) the mathematical derivation of the closed-form frequency response functions (FRFs) of the thermoelastic field in terms of temperature, thermoelastic displacements and stresses in the layer and the substrate, (2) the numerical contact pressure determination and heat partition evaluation by employing the conjugate gradient method (CGM), and (3) stress and temperature calculations by utilizing the discrete convolution-fast Fourier transform algorithm (DC-FFT). Numerical results from the proposed model indicate that, a stronger discontinuity of interface displacements causes the contact pressure, temperature, and in-plane compressive stress to decrease, but the in-plane tensile stress, out-of-plane (compressive and tensile) stress, and von Mises stress to increase. The results also reveal the behavior transition of the out-of-plane shear stress state due to the change of the interface discontinuity status.

中文翻译：

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具有界面缺陷的层状材料的热弹性接触

摘要 本文报告了弹性球体在弹性层-基底系统上滑动的热弹性摩擦接触响应的研究，该系统涉及不完美的界面。此类材料系统的热弹性接触的理论解和数值建模包括：(1) 热弹性场在层中的温度、热弹性位移和应力方面的闭式频率响应函数 (FRF) 的数学推导，以及(2) 采用共轭梯度法 (CGM) 进行数值接触压力确定和热分配评估，以及 (3) 利用离散卷积-快速傅立叶变换算法 (DC-FFT) 计算应力和温度。所提出模型的数值结果表明，界面位移的更强不连续性会导致接触压力、温度和面内压应力降低，但面内拉应力、面外（压和拉）应力和 von Mises 应力会增加。结果还揭示了由于界面不连续状态的变化引起的面外剪应力状态的行为转变。