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2-D frictionless dynamic contact analysis of large deformable bodies by Petrov-Galerkin natural element method

机译:Petrov-Galerkin自然元法对大型变形体的二维无摩擦动态接触分析

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This paper presents a Petrov-Galerkin natural element method for the nonlinear analysis of 2-D dynamic contact problems without friction. The frictionless dynamic contact problem is formulated according to the linearized total Lagrangian method incorporated with the linearized penalty method. The displacement increment is approximated with Laplace interpolation functions defined with the help of Voronoi polygons, while the admissible virtual displacement is expanded with constant strain functions which are supported on Delaunay triangles. The spatial numerical integration is carried out by applying the conventional Gauss quadrature rule to Delaunay triangles and the temporal time integration is performed by the implicit Newmark method. The validity of the proposed method is examined through the illustrating numerical experiments.
机译:本文提出了一种Petrov-Galerkin自然元方法,用于二维无摩擦动态接触问题的非线性分析。根据结合线性化惩罚方法的线性化总拉格朗日方法来制定无摩擦动态接触问题。位移增量可通过在Voronoi多边形的帮助下定义的拉普拉斯插值函数来近似,而可允许的虚拟位移将通过在Delaunay三角形上受支持的恒定应变函数扩展。通过对Delaunay三角形应用常规的高斯正交规则来执行空间数值积分,并通过隐式Newmark方法执行时间时间积分。通过数值实验验证了该方法的有效性。

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