A fast nonlinear conjugate gradient based method for 3D frictional contact problems

Zhao, J.; Vollebregt, E.A.H.; Oosterlee, C.W.

A fast nonlinear conjugate gradient based method for 3D frictional contact problems

Report (2014)

Authors

J. Zhao

E.A.H. Vollebregt

C.W. Oosterlee

Department

Delft Institute of Applied Mathematics

Preconditioner Fast Fourier transform Frictional contact problem Azimuth angle variables Active set strategy Nonlinear conjugate gradient

To reference this document use:

http://resolver.tudelft.nl/uuid:03cceb66-a5d1-487a-9f96-fc976be07437

More Info

expand_more

Published Date

31-03-2014

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Source:

Reports of the Delft Institute of Applied Mathematics, 14-02

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Abstract

This paper presents a fast numerical solver for a nonlinear constrained optimization problem, arising from a 3D frictional contact problem. It incorporates an active set strategy with a nonlinear conjugate gradient method. One novelty is to consider the tractions of each slip element in a polar coordinate system, and use azimuth angles as variables, instead of conventional traction variables. A corresponding preconditioner using diagonal scaling is incorporated. The fast Fourier transform (FFT) technique accelerates all matrix-vector products encountered, due to a Toeplitz structure. Numerical tests show that this method is robust and it significantly reduces the computational time, compared to existing solvers.

Files

14-02_Jing_Zhao_tech_rept.pdf

(pdf | 0.421 Mb)

License info not available