Abstract In this paper, a new and robust formulation to solve three-dimensional thermomechanical contact problems under non-linear interface thermal contact (ITC) conditions is presented. This methodology allows us to consider non-linear thermal contact conductance, including the presence of thermal interface materials (TIM), and convective conditions at the interstitial contact region. The Boundary Element Method (BEM) is assumed in order to compute the thermoelastic influence coefficients. The interface thermomechanical contact methodology is based on an augmented Lagrangian formulation where an efficient iterative Uzawa type scheme of resolution is proposed. The methodology is validated by comparison with benchmark solutions and later on, some additional examples are presented to study the influence of several ITC conditions, i.e., the presence of TIM doped with carbon nanotubes (CNT) and/or interstitial boundary conditions, in the thermoelastic contact variables (i.e., the contact area, the contact tractions, the temperature or the thermal flux distributions) of this kind of problems.

中文翻译：

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三维热弹性接触问题中的非线性界面热条件

摘要 在本文中，提出了一种新的、稳健的公式来解决非线性界面热接触 (ITC) 条件下的三维热机械接触问题。这种方法使我们能够考虑非线性热接触电导，包括热界面材料 (TIM) 的存在以及间隙接触区域的对流条件。假定边界元法 (BEM) 是为了计算热弹性影响系数。界面热机械接触方法基于增广拉格朗日公式，其中提出了有效的迭代 Uzawa 型分辨率方案。该方法通过与基准解决方案的比较得到验证，随后，提供了一些额外的例子来研究几个 ITC 条件的影响，即，