Engineering Mechanics

Proceedings Vol. 16 (2010)

ENGINEERING MECHANICS 2010

Copyright © 2010 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Kopačka J., Gabriel D., Plešek J., Ulbin M.
pages 67 - +13p., full text

The stability of the contact algorithm is significantly influenced by the local contact search procedure, which consists in the determination of the exact position of the slave node or integration point with respect to a given master segment. For a general quadrilateral contact segment it leads to the numerical solution of minimization problem. In this paper, various method like the Newton-Raphson, the quasi-Newton, the gradient methods and the simplex method for finding the local and global minimizers of this problem are presented. The attention is focused on the the line-search technique which is crucial for a general success of the quasiNewton and the gradient methods. The effectiveness of methods is tested by means of numerical example, which involves bending of two rectangular plates over a cylinder.

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