engleski

A C1 - continuous formulation for finite deformation contact

Description of the finite deformation contact between surfaces discretized with low order contact elements causes sudden changes in surface normals when sliding of a slave node over several master segments/surfaces occurs. Such rough non-physical behavior leads to jumps in velocity field for dynamic problems, and eventually loss of the algorithmic convergence. These problems are overcome by the smoothing of contact surfaces using C1-continuous polynomials defined by mid-nodes. The 2D surface smoothing based on cubic Bézier or Hermitian polynomials, as well as the 3D surface smoothing based on six quartic Bézier surfaces, enables a robust contact discretization for contact surfaces defined by unstructured meshes. The weak formulation and the penalty method are formulated for the Lagrangian description of large deformation frictional contact problems. The presented approach, based on a non-associated frictional law, elastic-plastic tangential slip decomposition, and consistent symbolic linearization, results in quadratic rates of convergence within the Newton-Raphson iteration. Examples including large sliding with particular attention to rolling problems demonstrate the benefit of using the presented approach.

Contact mechanics; Frictional contact; Finite Element Method; C1-continuous

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