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Workbench Mechanical - Introduction to Contact

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<strong>Workbench</strong> <strong>Mechanical</strong> - <strong>Introduction</strong> <strong>to</strong> <strong>Contact</strong><br />

... <strong>Contact</strong> Formulations<br />

Training Manual<br />

• The main difference between Pure Penalty and Augmented Lagrange<br />

methods is that the latter augments the contact force (pressure)<br />

calculations:<br />

Pure Penalty:<br />

Augmented Lagrange:<br />

F = k<br />

F<br />

normal<br />

normal<br />

normal<br />

x<br />

penetration<br />

= knormal<br />

x<br />

penetratio n<br />

+ λ<br />

• Because of the extra term λ, the augmented Lagrange method is less<br />

sensitive <strong>to</strong> the magnitude of the contact stiffness k normal .<br />

ANSYS, Inc. Proprietary<br />

© 2009 ANSYS, Inc. All rights reserved.<br />

3-6<br />

April 30, 2009<br />

Inven<strong>to</strong>ry #002659

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