Formula 7

d_{i} = [\begin{matrix} d_{11, i} & d_{12, i} & 0 \\ d_{22, i} & 0 \\ sym & d_{33, i} \end{matrix}) = [\begin{matrix} \frac{E_{x, i}}{1 - ν_{xy, i}^{2} \frac{E_{y, i}}{E_{x, i}}} & \frac{ν_{xy, i} E_{y, i}}{1 - ν_{xy, i}^{2} \frac{E_{y, i}}{E_{x, i}}} & 0 \\ \frac{E_{y, i}}{1 - ν_{xy, i}^{2} \frac{E_{y, i}}{E_{x, i}}} & 0 \\ sym & G_{xy, i} \end{matrix})]]

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