engleski

A two-dimensional C1-continuous contact element based on the moving friction cone description

A C1-continuous contact surface smoothing approach based on the Moving Friction Cone (MFC) formulation is presented herein. The formulation is based on the contact constraint described using a single gap vector. Such a simplification, in comparison with the standard approach where normal and tangential gap vectors are used, enables significantly simpler, shorter and faster element code. The contact segment surface is smoothed using mid-nodes and C1 cubic polynomials. Therefore all advantages of surface smoothing, such as unique definition of normal for regions near the edges of master surfaces or elimination of jumps in normal between adjacent segments, are applied to the MFC formulation. Nonlinear contact elements are developed using a high abstract mathematical level of symbolic description. Thus enabling the consistent linearisation, quadratic rate of convergence, algorithmic robustness, fast evaluation time as well as a compact element code.

contact mechanics; friction; moving friction cone; C1-continuous

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