Stabilized Lagrange multiplier methods for elastic contact with friction,

• In most finite element (FE) codes contact is checked only at the nodes, corresponding to the use of pointwise constraints. However, this approach might not be stable in case the bodies coming into contact have non-matching grids at the contact interface. To alleviate this problem, we propose a stabilized Lagrange multiplier method, based on a global polynomial multiplier, for the finite element solution of (non)linear elastic contact problems with non-matching grids. In particular, our approach allows us to avoid integrating products of different finite element basis functions on the surface meshes at the contact zone.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik -- Teknisk mekanik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering -- Applied Mechanics (hsv//eng)

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

Stabilized Lagrange multipliers

Friction

Contact

Non-matching grids

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