Stress-Strain relationship according to Hooke's law. More...
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Hooke's law describes a linear stress-strain relationship. 
 
 \(\sigma=\mathbf{c}\epsilon\) with \(\epsilon=\frac{1}{2}( \; \mathrm{grad}( \mathbf{u})+\mathrm{grad}(\mathbf{u})^T)\) 
 Furthermore, homogeneous and isotropic materials are assumed. 
 As proportionality constants the first and second Lamé parameters are used.
 The final stress-strain relationship yields the following:
 
 \( \sigma= 2 \mu \epsilon+\lambda \mathrm{tr}(\epsilon)\mathbf{I} \)