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Hammer, Michael E.

Frictional mortar contact for finite deformation problems with synthetic contact kinematics: comparison of averaged non-mortar side and non continuous mortar side normal field. (English) Zbl 1366.74048

Comput. Mech. 51, No. 6, 975-998 (2013).
Summary: In this paper we present a mortar based method, for frictional two dimensional contact problems. It is based on the work by M. Tur et al. [Comput. Methods Appl. Mech. Eng. 198, No. 37–40, 2860–2873 (2009; Zbl 1229.74141)] and uses the same concentrated integration scheme as well as a non regularized tangential contact formulation based on Lagrange multipliers only. We abstract the contact kinematics to a rather synthetic formulation. Therefore we are able to use two different methods of defining the normal field on the discretized surface normal: The popular method of averaged non-mortar side normal and the rather simple non continuous mortar side normal field. The problem is solved with a fixed point Newton-Raphson procedure and for both normal fields the full linearizations are derived. With numerical examples we show the performance of the more concise formulation of the non averaged non continuous mortar side normal field.

Cited in 3 Documents

MSC:

74M15 Contact in solid mechanics
74S20 Finite difference methods applied to problems in solid mechanics
74B20 Nonlinear elasticity

Keywords:

contact mechanics; mortar method; synthetic contact kinematics; Lagrange multiplier; nonlinear elasticity

Citations:

Zbl 1229.74141

Software:

Gmsh
Cite Review PDF
Full Text: DOI

References:

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