We develop a model for predicting the mechanical behavior of a system of slender one-dimensional bodies (fibers or beams) interacting via frictional contact. Relying on an integral penalty-based formulation, it can robustly capture the behavior in the case of conforming contact occurring over regions of finite size. Two formulations of the model are presented and validated against fully resolved continuum finite element simulations. Overall, the proposed framework is an effective tool in exploring the mechanical behavior of fabrics, textiles as well as three-dimensional frictional architected solids, as demonstrated by the simulation of the effective response of a periodic intertwined metamaterial.

中文翻译：

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一致的摩擦梁接触模型


我们开发了一个模型，用于预测通过摩擦接触相互作用的细长一维物体（纤维或梁）系统的机械行为。依靠基于积分惩罚的公式，它可以稳健地捕获在有限尺寸区域上发生一致接触的情况下的行为。提出了模型的两种公式，并针对完全解析的连续有限元模拟进行了验证。总体而言，所提出的框架是探索织物、纺织品以及三维摩擦结构固体的机械行为的有效工具，正如对周期性交织超材料的有效响应的模拟所证明的那样。