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PASS/NOZZLE-FEM 3.5. Program Manual | |
The program PASS/NOZZLE-FEM allows to take into account the thermal strains of materials in components that make up the vessel. This allows us to take into account the expansion (deformation) of the materials in components under the temperature effects, as well as additional stresses arising from constrained temperature deformations (different linear expansion coefficients, different temperatures, etc).
In this case, the stresses are defined depending on the temperature deformations as follows (in the finite element method):
$$ \{\sigma\} = [D]\left(\{\varepsilon\}-\{\varepsilon^{th}\}\right), $$
| where | $\{\sigma\} = \{\sigma_x\:\sigma_y\:\sigma_z\:\sigma_{xy}\:\sigma_{yz}\:\sigma_{xz}\}^T$ | - stress vector; |
| $[D]$ | - elasticity matrix, | |
| $\{\varepsilon\} = \{\varepsilon_x\:\varepsilon_y\:\varepsilon_z\:\varepsilon_{xy}\:\varepsilon_{yz}\:\varepsilon_{xz}\}^T$ | - total strain vector, | |
| $\{\varepsilon\}^{th} = \{\alpha_x\:\alpha_y\:\alpha_z\:0\:0\:0\}^T\alpha\Delta{T}$ | - vector of thermal strains ($\alpha$ - secant coefficient of thermal expansion). |
PASS/NOZZLE-FEM 3.5. Program Manual
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