Learn · Finite Element Analysis and Constitutive Modelling in Geomechanics

Lecture 27 of 44week-09

Nonlinear analysis technique-1

Prof. K Rajagopal · IIT Madras

Credits and licence

From
Finite Element Analysis and Constitutive Modelling in Geomechanics, IIT Madras (at NPTEL)
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
Who can watch
Tweens profiles and older. How courses are placed

All the lectures

  1. Introductory lecture & course outline Video
  2. Matrix algebra & Gauss elimination method Video
  3. Development of equilibrium equations for 1-d systems Video
  4. Development of equilibrium equations for 2-d bar elements and truss structures Video
  5. Development of equilibrium equations for beam elements Video
  6. Virtual work & principle of stationary potential energy Video
  7. Introduction to Rayleigh-Ritz Method Video
  8. Use of GEOFEM finite element program: Part - I Video
  9. Use of GEOFEM finite element program: Part - II Video
  10. Stresses and strains in continuum Video
  11. 2-dimensional approximations of continuum Video
  12. Analysis of continuum systems Video
  13. 3-node Constant Strain Triangle Video
  14. Classical methods for developing shape functions Video
  15. Numerical integration techniques Video
  16. Isoparametric Elements Part-I Video
  17. Isoparametric Elements - Part-II Video
  18. Isoparametric calculations for stiffness & load vectors Video
  19. Force vector due to surface traction Video
  20. Patch test & Finite Element Modelling Video
  21. GEOFEM : Part - III Video
  22. In situ earth pressures, construction & excavation sequences Video
  23. Joint & amp; interface element modelling Video
  24. Modelling of interfaces - Joint Elements Video
  25. Mapped infinite elements for semi-infinite soil medium Video
  26. Some observations of soil behaviour & stress invariants Video
  27. Nonlinear analysis technique-1 Video
  28. Nonlinear analysis technique-2 Video
  29. Nonlinear techniques-3 Video
  30. Bilinear elastic models Video
  31. Nonlinear elastic and hyperbolic models Video
  32. Modified hyperbolic model & determination of material parameters Video
  33. Stress correction procedures in finite element analysis Video
  34. Numerical examples on working with modified hyperbolic models Video
  35. Some Limit solutions in geotechnical engineering Video
  36. Elastic - Plastic Constitutive Matrix Video
  37. Nonassociated Elastic- Plastic Joint Element Video
  38. Introduction to consolidation & dynamic analysis Video
  39. Cam Clay models Video
  40. Modified cam clay models Video
  41. FEM in Geotechnical applications Video
  42. Soil behaviour & An Introduction to the Existing Soil Models Video
  43. Simulation of soil liquefaction using FLAC Video
  44. Mitigation of soil liquefaction using granular columns Video