This contribution proposes a tribological model within a three‐dimensional contact formulation considering structural anisotropy of the contact interface. A simple elastoplastic constitutive law is adopted for the description of the behavior on the anisotropic contact interface. Starting with the establishment of the thermodynamic framework of the contact problem, the dissipative, irreversible process is described. By applying the principle of maximum dissipation, the evolution equations and the expressions of the tangential contact forces for the cases of sticking and sliding are obtained and, subsequently, formulated in algorithmic form, in order to enable their implementation into finite element codes. The anisotropic behavior is incorporated through the definition of a tensor of anisotropy. The form of this tensor is defined in a general curvilinear coordinate system. The cases of both constant and nonconstant anisotropic tensor are studied. The analytical solution of a numerically computed problem, serves the validation of the proposed model.

中文翻译：

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协变形式的几何结构各向异性表面的摩擦模型

考虑到接触界面的结构各向异性，该贡献提出了三维接触配方内的摩擦学模型。采用简单的弹塑性本构律来描述各向异性接触界面上的行为。从建立接触问题的热力学框架开始，描述了耗散的，不可逆的过程。通过应用最大耗散原理，获得了粘着和滑动情况下的演化方程和切向接触力的表达式，然后以算法形式进行表述，以使其能够实现为有限元代码。各向异性行为通过各向异性张量的定义而结合。张量的形式在一般的曲线坐标系中定义。研究了恒定和非恒定各向异性张量的情况。数值计算问题的解析解可用于所提出模型的验证。