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

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Elastic Material<br />

For an elastic material <strong>the</strong> stress is a function <strong>of</strong> strain only <strong>The</strong><br />

stress path is <strong>the</strong> same both in loading <strong>and</strong> unloading<br />

<strong>Linear</strong> Elastic<br />

<strong>The</strong> elasticity (constitutive)<br />

tensor components, C ijrs are<br />

constant<br />

<strong>Non</strong>linear Elastic<br />

<strong>The</strong> elasticity (constitutive)<br />

tensor components, C ijrs are<br />

a function <strong>of</strong> strain<br />

Example: Almost all materials under small stress<br />

σ<br />

ε<br />

Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 7

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