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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Constitutive Relations<br />
Previously we examined <strong>the</strong> kinematic equations <strong>for</strong>mulation<br />
(displacement, strain displacement relations)<br />
<strong>The</strong> next step is to determine appropriate constitutive relationships<br />
<strong>of</strong> <strong>the</strong> <strong>for</strong>m:<br />
ex. linear analysis ⇒ σ = Eε<br />
σ = f(ε)<br />
When dealing with incremental analysis this is written in tensor<br />
<strong>for</strong>m <strong>for</strong> time t:<br />
t<br />
σ = t C ijrst ɛ rs<br />
Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 2
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