Elasticity Matrix

Elasticity matrix for surfaces

[\begin{matrix} ε_{x} \\ ε_{y} \\ γ_{xy} \\ γ_{yz} \\ γ_{xz} \end{matrix}] = [\begin{matrix} \frac{1}{E} & - \frac{ν}{E} & 0 & 0 & 0 \\ - \frac{ν}{E} & \frac{1}{E} & 0 & 0 & 0 \\ 0 & 0 & \frac{1}{G} & 0 & 0 \\ 0 & 0 & 0 & \frac{1}{G} & 0 \\ 0 & 0 & 0 & 0 & \frac{1}{G} \end{matrix}] \cdot [\begin{matrix} σ_{x} \\ σ_{y} \\ τ_{xy} \\ τ_{yz} \\ τ_{xz} \end{matrix}]

;