Learn · Foundations of Continuum Mechanics

Lecture 27 of 60Week 6

Stress Maxima - Lagrange Multiplier Method

Prof. Gaurav Bhutani · IIT Mandi

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From
Foundations of Continuum Mechanics, IIT Mandi (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. Coordinated by IIT Madras.
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All the lectures

  1. Introduction Video
  2. Tensors Video
  3. Summation Convention (Einstein Notation) Video
  4. Kronecker Delta Video
  5. Tutorial - Week 1 Video
  6. Permutation Symbol Video
  7. Vector Operations Video
  8. Tensor Operations Video
  9. More on Indicial notation Video
  10. Tutorial - Week 2 Video
  11. Matrices and Determinants Video
  12. Tensor Transformation Video
  13. Tensor Transformation - part 2 Video
  14. Isotropy and Invariance Video
  15. Tutorial - Week 3 Video
  16. Principal Values and Directions Video
  17. Principal Values and Directions - part 2 Video
  18. Tensor Calculus - part 1 Video
  19. Tensor Calculus - part 2 Video
  20. Tutorial - Week 4 Video
  21. Cauchy Stress Principle Video
  22. Cauchy Stress Formula Video
  23. Cauchy Stress Tensor Video
  24. Local Equilibrium Equations Video
  25. Tutorial - Week 5 Video
  26. Stress Transformation and Principal Values Video
  27. Stress Maxima - Lagrange Multiplier Method Video
  28. Mohr's Circles Video
  29. Plane Stress, Deviatoric Stress and Octahedral Shear Stress Video
  30. Tutorial - Week 6 Video
  31. Deformation and Configurations Video
  32. Material and Spatial Coordinates Video
  33. Lagrangian and Eulerian Description Video
  34. Material Derivative Video
  35. Tutorial - Week 7 Video
  36. Deformation Gradient Tensor Video
  37. Finite Strain Tensors Video
  38. Infinitesimal Deformation Theory Video
  39. Strain Tensor and Plane Strain Video
  40. Tutorial - Week 8 Video
  41. Rotations and Compatibility Video
  42. Finite Deformations Video
  43. Velocity Gradient Video
  44. Strain Rate and Rate of Rotation Video
  45. Tutorial - Week 9 Video
  46. Material Derivative of Elements Video
  47. Reynolds Transport Theorem and Conservation of Mass Video
  48. Momentum Equations Video
  49. Lagrangian Form of Momentum Equations Video
  50. Energy Equation and Tutorial - Week 10 Video
  51. Introduction to Constitutive Modelling Video
  52. Introduction to Constitutive Modelling - part 2 Video
  53. Elasticity Video
  54. Viscous and Viscoelastic Materials Video
  55. Plasticity Video
  56. Tutorial - Constitutive Modelling Video
  57. Application - Linear Fluids Video
  58. Navier-Stokes Equation Video
  59. Fluid Flow Problem Video
  60. Summary Video