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

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Constitutive Relations<br />

It is necessary that kinematic <strong>and</strong> constitutive relations are<br />

appropriate (ex. <strong>The</strong> Second Piola-Kirchh<strong>of</strong>f stress tensor is to<br />

be used with <strong>the</strong> Green Lagrange strain tensor).<br />

Ultimately, <strong>the</strong> position <strong>of</strong> <strong>the</strong> observer frame should not affect<br />

<strong>the</strong> constitutive relations <strong>of</strong> a material (material frame<br />

indifference or objectivity <strong>of</strong> <strong>the</strong> material response).<br />

Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 3

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