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Lagrange Multiplier Method

Lagrange Multiplier Method

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Lagrange Multiplier Method

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Lagrange multiplier method is one of the contact treatments used in RADIOSS and is purely mathematical and does not require physical elements (springs) to model contact. The Lagrange multiplier matrix has to be reversed at each cycle of computation and therefore takes more CPU time during computation, but there is no time step collapse, due to high interface stiffness.

Interface Types with Lagrange Multiplier

Contact Treatment

 

Types

Application

Description

Lagrange Multiplier Method

Tied

LAGMUL/TYPE2

Change of mesh density (solid)

Tied contact between master and slave nodes.

Slide / Void

LAGMUL/TYPE7

Solid contact impact at all speeds

Multi-usage impact interface between a master surface and a list of slaves nodes.

Slide / Void

LAGMUL/TYPE16

Meshes with 8-node or 16-node thick-shell or 20 bricks

Contact of impact between nodes and external surfaces.

Slide / Void

LAGMUL/TYPE17

Meshes with 8-node or 16-node thick-shell or 20 bricks

Contact of impact between external surface of two brick groups.

Comments

1.Lagrange multiplier interfaces are compatible with all Lagrange multiplier kinematic conditions.
2.Lagrange multiplier interfaces are not compatible with other kinematic conditions.
3.Lagrange multiplier interfaces are not compatible with SPMD parallel version.