The Matchstick Model for Anisotropic Friction Cones,Computer Graphics Forum

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The Matchstick Model for Anisotropic Friction Cones
Computer Graphics Forum ( IF 2.7 ) Pub Date : 2019-11-06 , DOI: 10.1111/cgf.13885
K. Erleben ₁ , M. Macklin _{1,

2} , S. Andrews ₃ , P. G. Kry ₄

Affiliation

Inspired by frictional behaviour that is observed when sliding matchsticks against one another at different angles, we propose a phenomenological anisotropic friction model for structured surfaces. Our model interpolates isotropic and anisotropic elliptical Coulomb friction parameters for a pair of surfaces with perpendicular and parallel structure directions (e.g. the wood grain direction). We view our model as a special case of an abstract friction model that produces a cone based on state information, specifically the relationship between structure directions. We show how our model can be integrated into LCP and NCP‐based simulators using different solvers with both explicit and fully implicit time‐integration. The focus of our work is on symmetric friction cones, and we therefore demonstrate a variety of simulation scenarios where the friction structure directions play an important part in the resulting motions. Consequently, authoring of friction using our model is intuitive and we demonstrate that our model is compatible with standard authoring practices, such as texture mapping.

中文翻译：

各向异性摩擦锥的火柴棒模型

受在以不同角度相互滑动火柴棒时观察到的摩擦行为的启发，我们提出了一种用于结构化表面的现象学各向异性摩擦模型。我们的模型为一对具有垂直和平行结构方向（例如木纹方向）的表面插入了各向同性和各向异性椭圆库仑摩擦参数。我们将我们的模型视为抽象摩擦模型的一个特例，该模型基于状态信息生成锥体，特别是结构方向之间的关系。我们展示了如何使用具有显式和完全隐式时间积分的不同求解器将我们的模型集成到基于 LCP 和 NCP 的模拟器中。我们工作的重点是对称摩擦锥，因此，我们展示了各种模拟场景，其中摩擦结构方向在产生的运动中起着重要作用。因此，使用我们的模型创作摩擦是直观的，我们证明我们的模型与标准创作实践兼容，例如纹理映射。

更新日期：2019-11-06

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