It is difficult to analytically solve the contact problem of one-dimensional hexagonal quasicrystal (1DHQ) coating considering the coupling effects of adhesion, friction force and frictional heat in the contact region, especially considering both the frictional heat and adhesion simultaneously. The thermally frictional adhesive contact problem of 1DHQ coating is investigated using a discrete convolution-fast Fourier transform-based (DC-FFT-based) semi-analytical method. The adhesive behavior is described based on the Maugis-Dugdale model, which was used to investigate the influence of adhesive force on the thermoelastic field. It is a continuum-mechanics model with all microscopic features subsumed in the elastic constants, covers only elastic behavior, omitting all other physical characteristics of quasicrystals. By developing an adhesion-driven conjugate gradient method (AD-CGM), the contact process is numerically implemented, and the DC-FFT method is applied to solve the contact displacement. The numerical results indicate that the contact area under the consideration of adhesive force is much larger than that without. For a given external force, the contact radius and adhesive radius increase with increasing parameters. And each physical quantity exhibits different changing trends with the variation of adhesive parameters, with 0.5 as the dividing line. The research results may provide theoretical guidance for the practical application of quasicrystals as thermal barrier coating materials, nanodevice materials, and intelligent robot coating materials.

中文翻译：

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准晶材料的三维热摩擦胶粘剂接触问题


考虑到接触区粘附、摩擦力和摩擦热的耦合效应，特别是同时考虑摩擦热和粘附，分析解决一维六方准晶（1DHQ）涂层的接触问题是困难的。使用基于离散卷积快速傅里叶变换 （DC-FFT-based） 的半解析方法研究了 1DHQ 涂层的热摩擦粘合剂接触问题。粘附行为基于 Maugis-Dugdale 模型进行描述，该模型用于研究粘附力对热弹性场的影响。它是一个连续介质力学模型，所有微观特征都包含在弹性常数中，仅涵盖弹性行为，省略了准晶体的所有其他物理特性。通过开发粘附驱动的共轭梯度法 （AD-CGM），以数值方式实现了接触过程，并应用 DC-FFT 方法来解决接触位移问题。数值结果表明，考虑粘附力的接触面积远大于未考虑粘附力的接触面积。对于给定的外力，接触半径和胶粘剂半径随着参数的增加而增加。并且每个物理量随着胶粘剂参数的变化而表现出不同的变化趋势，以 0.5 为分界线。研究结果可为准晶作为热障涂层材料、纳米器件材料和智能机器人涂层材料的实际应用提供理论指导。