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The Finite Element Method for the Analysis of Non-Linear and ...

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Contact <strong>Analysis</strong><br />

Complexities<br />

In <strong>the</strong> previous we consider pseudo-static contact conditions<br />

In dynamic analysis:<br />

Body <strong>for</strong>ces include inertial <strong>for</strong>ce effects <strong>and</strong> <strong>the</strong> kinematic interface<br />

conditions must be satisfied at all instances <strong>of</strong> time, requiring<br />

displacement, velocity <strong>and</strong> acceleration compatibility between <strong>the</strong><br />

contacting bodies.<br />

<strong>The</strong> time integrations schemes (ex. trapezoidal rule) do not<br />

automatically satisfy compatibility which <strong>the</strong>re<strong>for</strong>e has to be imposed<br />

separately on <strong>the</strong> step by step solution<br />

Various algorithms have been proposed to solve contact problems in<br />

<strong>Finite</strong> <strong>Element</strong> analysis.<br />

Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 41

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