This contribution presents the extensions of beam‐to‐beam and beam‐inside‐beam contact schemes of the same authors towards frictional interactions. Since the schemes are based on the beams' true surfaces (instead of surfaces implicitly deduced from the beams' centroid lines), the presented enhancements are not only able to account for frictional sliding in the beams' axial directions, but also in the circumferential directions. Both the frictional beam‐to‐beam approach as well as the frictional beam‐inside‐beam approach are applicable to shear‐deformable and shear‐undeformable beams, as well as to beams with both circular and elliptical cross‐sections (although the cross‐sections must be rigid). A penalty formulation is used to treat unilateral and frictional contact constraints. FE implementation details are discussed, where automatic differentiation techniques are used to derive the implementations. Simulations involving large sliding displacements and large deformations are presented for both beam‐to‐beam and beam‐inside‐beam schemes. All simulation results are compared with those of the frictionless schemes.

中文翻译：

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非局域梁对梁和梁内部梁接触的摩擦相互作用

这一贡献提出了同一作者的梁对梁和梁内部梁接触方案在摩擦相互作用方面的扩展。由于这些方案基于梁的真实表面（而不是从梁的质心线隐式推导的表面），因此，所提出的增强功能不仅能够解决梁轴向上以及周向方向上的摩擦滑动。摩擦梁到梁方法以及摩擦梁到梁内部方法都适用于可剪切变形和不可变形的梁，以及具有圆形和椭圆形横截面的梁（尽管截面必须是刚性的）。惩罚公式用于处理单边和摩擦接触约束。讨论了FE实施细节，其中使用自动区分技术来导出实现。针对梁到梁和梁内梁方案，都提出了涉及大滑动位移和大变形的模拟。将所有仿真结果与无摩擦方案的仿真结果进行比较。