The Finite Element Method for the Analysis of Non-Linear and ...
The Finite Element Method for the Analysis of Non-Linear and ...
The Finite Element Method for the Analysis of Non-Linear and ...
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Setting up <strong>the</strong> governing equations<br />
Remarks<br />
Term ∫0 V t 0S ij<br />
δ 0 e ij d 0 V is known, so it can be moved to <strong>the</strong><br />
right h<strong>and</strong> side <strong>of</strong> <strong>the</strong> equation <strong>of</strong> motion.<br />
Term ∫0 V t 0S ij<br />
δ 0 η ij d 0 V is linear with respect to <strong>the</strong><br />
incremental displacements u i .<br />
Term ∫0 V 0 S ij δ 0 ɛ ij d 0 V is highly nonlinear but we can use<br />
Taylor expansion to approximate it<br />
Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 5