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Lemaitre damage material model

Submitted by TungPhan on

The Lemaitre damage material model was developed by Lemaitre for an isotropic linear elastic virgin material with stress-strain law as follows

 \begin{equation}

 \label{eq:22}

 \sigma_{ij}=(1-D)C_{ijkl}\epsilon_{kl} \quad D\in[0,1]

 \end{equation}

 where $D$ represents the extent of damage with the damage evolution law

\begin{equation}

\label{eq:23}

D(\bar{\epsilon})=1-(1-A)\epsilon_{D_{0}}\bar{\epsilon}^{-1}-Ae^{-B(\bar{\epsilon}-\epsilon_{D_{0}})}

\end{equation}