Non-Interior Smoothing Algorithm for Frictional Contact Problems

ZHANG Hong-wu; HE Su-yan; LI Xing-si

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ZHANG Hong-wu, HE Su-yan, LI Xing-si. Non-Interior Smoothing Algorithm for Frictional Contact Problems[J]. Applied Mathematics and Mechanics, 2004, 25(1): 42-52.

Citation:

ZHANG Hong-wu, HE Su-yan, LI Xing-si. Non-Interior Smoothing Algorithm for Frictional Contact Problems[J]. Applied Mathematics and Mechanics, 2004, 25(1): 42-52.

Citation:

ZHANG Hong-wu, HE Su-yan, LI Xing-si. Non-Interior Smoothing Algorithm for Frictional Contact Problems[J]. Applied Mathematics and Mechanics, 2004, 25(1): 42-52.

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Non-Interior Smoothing Algorithm for Frictional Contact Problems

State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, P. R. China

Received Date: 2002-06-09
Rev Recd Date: 2003-09-03
Publish Date: 2004-01-15

Abstract

Abstract

A new algorithm for solving the three-dimensional elastic contact problem with friction is presented.The algorithm is a non-interior smoothing algorithm based on an NCP-function.The parametric variaxional principle and parametric quadratic programming methods wwe applied to the analysis of three-dimensional frictional contact problem.The solution of the contact problem was finally reduced to a linear complementarily problem,which was reformulated as a system of nonsmooth equalions via an NCP-function.A smoothing approximation to the nonsmooth equations was given by the aggregate function.A Newton method was used to solve the resulting smoothing nonlinear equations.The algorithm presented is easy to understand and implement.The reliability and efficiency of this algorithm are demonstrated both by the numerical experiments of LCP in mathematical way and the examples of contact problems in mechanics.

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References(21)

References

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