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An unconstrained integral approximation of large sliding frictional contact between deformable solids

机译:可变形固体之间大滑动摩擦接触的无约束积分近似

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摘要

A new integral approximation of frictional contact problems under large deformations is presented. Impenetrability, friction and the relevant complementarity conditions are expressed through a nonsmooth equation, considered in the continuous setting. A weak formulation of this non-smooth complementarity equation is discretized through a standard Galerkin procedure, is linearized consistently and incorporated in a generalized Newton solution process. The resulting integral handling of contact and friction complementarity conditions, previously implemented for small deformations only, is extended in the present paper to large deformations. In total, the proposed method is relatively simple to implement, while its robustness is illustrated through numerical examples.
机译:提出了大变形下摩擦接触问题的一种新的积分近似方法。不可渗透性,摩擦力和相关的互补条件通过不光滑方程表示,在连续设置中考虑。通过标准的Galerkin程序离散化该非光滑互补方程的弱公式,将其一致地线性化并纳入广义牛顿解法中。以前仅对小变形实施的接触和摩擦互补条件的整体处理在本文中扩展为大变形。总体而言,所提出的方法实现起来相对简单,而其鲁棒性通过数值示例来说明。

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