ENERGY CONSISTENT ALGORITHMS FOR FRICTIONAL CONTACT PROBLEMS

Citation
V. Chawla et Ta. Laursen, ENERGY CONSISTENT ALGORITHMS FOR FRICTIONAL CONTACT PROBLEMS, International journal for numerical methods in engineering, 42(5), 1998, pp. 799-827
Citations number
22
Categorie Soggetti
Mathematics,Engineering,Mathematics
ISSN journal
00295981
Volume
42
Issue
5
Year of publication
1998
Pages
799 - 827
Database
ISI
SICI code
0029-5981(1998)42:5<799:ECAFFC>2.0.ZU;2-4
Abstract
In this paper, the energy and momentum conserving algorithmic paradigm is extended to encompass a phenomenon featuring physical dissipation: dynamic frictional contact. Whereas in other works dealing with conse rvative systems the chief aim is often the maintenance of numerical st ability in the non-linear regime, in this investigation we seek to ach ieve not only this benefit but also the accurate algorithmic productio n of physical dissipation associated with frictional processes; The ap proach here features a product formula algorithm for the evolution of local frictional conditions, with the associated operator split guided by an a priori energy estimate. The resulting algorithm is characteri zed by exact conservation of energy during stick friction, and positiv e dissipation consistent with the frictional model used during slip. E ffectiveness of the algorithm is demonstrated by a series of finite el ement simulations involving large deformations and frictional slip, co mplete with appropriate comparisons to more traditional schemes. (C) 1 998 John Wiley & Sons, Ltd.