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List of Figures

  1. The considered domain.
  2. The exact solution.
  3. The classical shape function.
  4. The enrichment function g.
  5. The enriched nodes.
  6. The results of the code.
  7. The influence of on the norm.
  8. The influence of on the norm.
  9. The unmoving mesh.
  10. The moving mesh at an initial time step.
  11. The moving mesh at a subsequent time step.
  12. The finite element (10 elements) and exact solution.
  13. The finite element (400 elements) and exact solution.
  14. The X-FEM (10 elements) and exact solution.
  15. The results for the classical FEM.
  16. The results for the XFEM, first shot.
  17. The X-FEM gives the exact solution.
  18. Domain split into and by the surface .
  19. Zoom of the interface .
  20. The iterative procedure in the LATIN algorithm.
  21. The exact field to solve.
  22. The Heavyside function.
  23. The hyperbolic enrichment.
  24. The enrichment shape.
  25. The enrichment shape.
  26. The different enrichment compared with norm.
  27. The different enrichment compared with norm.
  28. The move of the crack.
  29. The move of the interface.
  30. The mesh used in the X-FEM.
  31. The move of the enriched nodes.
  32. The initial distribution.
  33. The evolution of the interface.
  34. The evolution of the profile for A)t = 180, B) t = 626 and C) steady-state.
  35. The initial temperature.
  36. The Temperature after 5 s.
  37. The Temperature after 10 s.
  38. The Temperature after 15 s.
  39. The Temperature after 20 s.


Renaud Merle 2000-08-26