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Numerical method for solution of pointwise contact between surfaces

机译：表面之间点触点溶液的数值方法

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When computing pointwise contact between bodies in a numerical model, one has to define a gap quantity. This is evaluated along the model evolution to quantify contact contributions. In this context, the evaluation of the gap for a fixed configuration of the system is here denoted as the local contact problem (LCP). Present work discusses the LCP in the context of the master-master contact formulation between surfaces, which yields the solution of a four-variable set of nonlinear equations. We present and solve the LCP employing trust-region optimization methods, leading to a robust and general scheme. After, the developed method is applied for several examples of contact involving surface parameterizations, such as super-elliptical extruded surfaces in the context of beam-to-beam contact, arc-based extruded and revolved surfaces and NURBS surfaces for rigid body contact modeling. Applications are quite general, such as pointwise contact involving finite elements and contact between particles addressed by the discrete element method. The main contribution of present work is the discussion, characterization and a proposal for solution algorithm of the LCP in the context of the master-master contact between surfaces. This is fundamental for a successful use of master-master contact schemes. (C) 2020 Elsevier B.V. All rights reserved.
机译：当计算数值模型中的体之间的点触点时，必须定义间隙量。这是沿模型演变进行评估，以量化联系贡献。在这种情况下，对系统的固定配置的间隙的评估在此表示为局部接触问题（LCP）。目前的工作在表面之间的主站触点配方的上下文中讨论了LCP，这产生了四变量的非线性方程组的解决方案。我们展示并解决了采用信任区域优化方法的LCP，导致强大且常规方案。之后，应用于涉及表面参数化的接触的若干例子，例如在光束接触，弧形挤压和旋转表面的上下文中的表面参数化的若干例子，例如用于刚体接触建模的弧形挤压和旋转表面和NURBS表面。应用是相当一般的，例如涉及有限元的点接触，并通过离散元件方法寻址的粒子之间的接触。当前工作的主要贡献是讨论，表征和LCP解决方案算法在曲面之间的主站联系人的上下文中的解决方案算法。这是成功使用主站主联系人方案的基础。 （c）2020 Elsevier B.v.保留所有权利。

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