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Chawla, V.; Laursen, T. A.

Energy consistent algorithms for frictional contact problems. (English) Zbl 0916.73078

Int. J. Numer. Methods Eng. 42, No. 5, 799-827 (1998).
We propose a product formula algorithm for the evolution of local frictional conditions, with the associated operator splitting guided by an a priori energy estimate. The resulting algorithm is characterized by exact conservation of energy during stick friction, and positive dissipation consistent with the frictional model used during slip. Effectiveness of the algorithm is demonstrated by a series of finite element simulations involving large deformations and frictional slip, completed with appropriate comparisons to more traditional schemes.

Cited in 28 Documents

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74S05 Finite element methods applied to problems in solid mechanics
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics

Keywords:

conservative algorithms; product formula algorithm; local frictional conditions; a priori energy estimate; stick friction; positive dissipation; large deformations; frictional slip
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References:

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