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About the Finite Element Analysis - Plates and Shells category
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10 October 2025
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1. Welcome to the course - roadmap overview
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10 October 2025
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2. Housekeeping - Python, pre-requisites and tips for success
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10 October 2025
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3. Plate theories and why Reissner-Mindlin?
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10 October 2025
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4. High-level primer - what are we trying to do?
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10 October 2025
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5. Section overview - The Mechanics of Plate Elements
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10 October 2025
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6. The displacement and strain fields
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10 October 2025
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7. Relating stress and strain - the constitutive matrix D
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10 October 2025
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8. From stresses to stress resultants
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10 October 2025
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9. The role of shape functions
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10 October 2025
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10. The strain-displacement matrix, B
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10 October 2025
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11. The Jacobian’s role in calculating B
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10 October 2025
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12. Pause, recap and regroup
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10 October 2025
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13. Section overview - Virtual Work and Calculating the Element Stiffness Matrix
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10 October 2025
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14. How Virtual Works leads to the element equations
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10 October 2025
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15. A primer on numerical integration
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10 October 2025
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16. Numerical integration applied to our element
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10 October 2025
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17. Setting up our stiffness matrix calculation
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10 October 2025
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18. Calculating an element stiffness matrix
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10 October 2025
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19. Calculating the shear and bending stiffness
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10 October 2025
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20. Calculating the equivalent nodal force vector
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10 October 2025
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21. Section overview - Expanding to a full plate element solver
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10 October 2025
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22. Procedurally generating a rectangular mesh
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10 October 2025
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23. Defining plate constraints
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10 October 2025
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24. Defining the self-weight force vector
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10 October 2025
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25. Building the structure stiffness matrix
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10 October 2025
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26. Solving the system and extracting reaction forces
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10 October 2025
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27. Plotting the plate displacements
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10 October 2025
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28. Building an evaluation grid for stress resultants
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10 October 2025
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29. Calculating the moments and shears
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10 October 2025
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