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001019

2024-01-16

Elasticity Matrix

Elasticity Matrix for Orthotropic Surfaces

[\begin{matrix} ε_{x} \\ ε_{y} \\ γ_{xy} \\ γ_{yz} \\ γ_{xz} \end{matrix}] = [\begin{matrix} \frac{1}{E_{x}} & - \frac{ν_{yx}}{E_{y}} & 0 & 0 & 0 \\ - \frac{ν_{xy}}{E_{x}} & \frac{1}{E_{y}} & 0 & 0 & 0 \\ 0 & 0 & \frac{1}{G_{xy}} & 0 & 0 \\ 0 & 0 & 0 & \frac{1}{G_{yz}} & 0 \\ 0 & 0 & 0 & 0 & \frac{1}{G_{xz}} \end{matrix}] \cdot [\begin{matrix} σ_{x} \\ σ_{y} \\ τ_{xy} \\ τ_{yz} \\ τ_{xz} \end{matrix}]

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