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68x

001265

2024-01-16

Stiffness Matrix for Orthotropic Layer

Local stiffness matrix by layer for orthotropic material

d_{i}' = [\begin{matrix} d'_{11, i} & d'_{12, i} & 0 \\ d'_{22, i} & 0 \\ s y m . & d'_{33, i} \end{matrix}] = [\begin{matrix} \frac{E_{x, i}}{1 - ν_{x y, i}^{2} \frac{E_{y, i}}{E_{x, i}}} & \frac{ν_{x y, i} E_{y, i}}{1 - ν_{x y, i}^{2} \frac{E_{y, i}}{E_{x, i}}} & 0 \\ \frac{E_{y, i}}{1 - ν_{x y, i}^{2} \frac{E_{y, i}}{E_{x, i}}} & 0 \\ s y m . & G_{x y, i} \end{matrix}] i = 1, . . ., n

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