# Foundations of Continuum Mechanics

- Institution: IIT Mandi
- Department: Mechanical Engineering
- Teacher: Prof. Gaurav Bhutani
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/112106912)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/112106912)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction](https://invisiblenetwork.ai/learn/nptel/112106912/de7332a805b3) (Video)
2. [Tensors](https://invisiblenetwork.ai/learn/nptel/112106912/70649773cbe5) (Video)
3. [Summation Convention (Einstein Notation)](https://invisiblenetwork.ai/learn/nptel/112106912/cc5467669b60) (Video)
4. [Kronecker Delta](https://invisiblenetwork.ai/learn/nptel/112106912/78a24b7ca585) (Video)
5. [Tutorial - Week 1](https://invisiblenetwork.ai/learn/nptel/112106912/b87b59d508f1) (Video)
6. [Permutation Symbol](https://invisiblenetwork.ai/learn/nptel/112106912/97575e6ecc2a) (Video)
7. [Vector Operations](https://invisiblenetwork.ai/learn/nptel/112106912/8436661fe8d1) (Video)
8. [Tensor Operations](https://invisiblenetwork.ai/learn/nptel/112106912/24a6d83a7677) (Video)
9. [More on Indicial notation](https://invisiblenetwork.ai/learn/nptel/112106912/d9c314fee66d) (Video)
10. [Tutorial - Week 2](https://invisiblenetwork.ai/learn/nptel/112106912/2bcb579b97b7) (Video)
11. [Matrices and Determinants](https://invisiblenetwork.ai/learn/nptel/112106912/a3e35863a0ff) (Video)
12. [Tensor Transformation](https://invisiblenetwork.ai/learn/nptel/112106912/9a1d5be50be3) (Video)
13. [Tensor Transformation - part 2](https://invisiblenetwork.ai/learn/nptel/112106912/e5c0b6c3e38d) (Video)
14. [Isotropy and Invariance](https://invisiblenetwork.ai/learn/nptel/112106912/721eebc777b0) (Video)
15. [Tutorial - Week 3](https://invisiblenetwork.ai/learn/nptel/112106912/011adf97c651) (Video)
16. [Principal Values and Directions](https://invisiblenetwork.ai/learn/nptel/112106912/9120b2a14645) (Video)
17. [Principal Values and Directions - part 2](https://invisiblenetwork.ai/learn/nptel/112106912/2762c2c84562) (Video)
18. [Tensor Calculus - part 1](https://invisiblenetwork.ai/learn/nptel/112106912/11042a83209a) (Video)
19. [Tensor Calculus - part 2](https://invisiblenetwork.ai/learn/nptel/112106912/d466c3c822c5) (Video)
20. [Tutorial - Week 4](https://invisiblenetwork.ai/learn/nptel/112106912/e497784234e0) (Video)
21. [Cauchy Stress Principle](https://invisiblenetwork.ai/learn/nptel/112106912/6517b6a6b2d0) (Video)
22. [Cauchy Stress Formula](https://invisiblenetwork.ai/learn/nptel/112106912/6e37834baab6) (Video)
23. [Cauchy Stress Tensor](https://invisiblenetwork.ai/learn/nptel/112106912/20179896b713) (Video)
24. [Local Equilibrium Equations](https://invisiblenetwork.ai/learn/nptel/112106912/8d6ca3472545) (Video)
25. [Tutorial - Week 5](https://invisiblenetwork.ai/learn/nptel/112106912/5c5767047888) (Video)
26. [Stress Transformation and Principal Values](https://invisiblenetwork.ai/learn/nptel/112106912/af6240c66d53) (Video)
27. [Stress Maxima - Lagrange Multiplier Method](https://invisiblenetwork.ai/learn/nptel/112106912/b30490a2e4ec) (Video)
28. [Mohr's Circles](https://invisiblenetwork.ai/learn/nptel/112106912/ff5133bfe115) (Video)
29. [Plane Stress, Deviatoric Stress and Octahedral Shear Stress](https://invisiblenetwork.ai/learn/nptel/112106912/cdd31d259860) (Video)
30. [Tutorial - Week 6](https://invisiblenetwork.ai/learn/nptel/112106912/4c37fe11dad2) (Video)
31. [Deformation and Configurations](https://invisiblenetwork.ai/learn/nptel/112106912/c4d6f240a890) (Video)
32. [Material and Spatial Coordinates](https://invisiblenetwork.ai/learn/nptel/112106912/cf3e2eedca39) (Video)
33. [Lagrangian and Eulerian Description](https://invisiblenetwork.ai/learn/nptel/112106912/6b095f4ed18b) (Video)
34. [Material Derivative](https://invisiblenetwork.ai/learn/nptel/112106912/9e3a6a4ba09c) (Video)
35. [Tutorial - Week 7](https://invisiblenetwork.ai/learn/nptel/112106912/d5b7cd7a1bd5) (Video)
36. [Deformation Gradient Tensor](https://invisiblenetwork.ai/learn/nptel/112106912/da657ac1d989) (Video)
37. [Finite Strain Tensors](https://invisiblenetwork.ai/learn/nptel/112106912/9205495d21d8) (Video)
38. [Infinitesimal Deformation Theory](https://invisiblenetwork.ai/learn/nptel/112106912/8409708b0e6f) (Video)
39. [Strain Tensor and Plane Strain](https://invisiblenetwork.ai/learn/nptel/112106912/bee402f58f39) (Video)
40. [Tutorial - Week 8](https://invisiblenetwork.ai/learn/nptel/112106912/7ba9715e2b69) (Video)
41. [Rotations and Compatibility](https://invisiblenetwork.ai/learn/nptel/112106912/3acdd38703cb) (Video)
42. [Finite Deformations](https://invisiblenetwork.ai/learn/nptel/112106912/a8178b5e7d90) (Video)
43. [Velocity Gradient](https://invisiblenetwork.ai/learn/nptel/112106912/aa24ed2f960d) (Video)
44. [Strain Rate and Rate of Rotation](https://invisiblenetwork.ai/learn/nptel/112106912/3f3ddda66710) (Video)
45. [Tutorial - Week 9](https://invisiblenetwork.ai/learn/nptel/112106912/bbe11830d1a7) (Video)
46. [Material Derivative of Elements](https://invisiblenetwork.ai/learn/nptel/112106912/481d399901cd) (Video)
47. [Reynolds Transport Theorem and Conservation of Mass](https://invisiblenetwork.ai/learn/nptel/112106912/765bd8a8c85e) (Video)
48. [Momentum Equations](https://invisiblenetwork.ai/learn/nptel/112106912/1e4dce66e265) (Video)
49. [Lagrangian Form of Momentum Equations](https://invisiblenetwork.ai/learn/nptel/112106912/9499efa43c84) (Video)
50. [Energy Equation and Tutorial - Week 10](https://invisiblenetwork.ai/learn/nptel/112106912/ce80b439fe75) (Video)
51. [Introduction to Constitutive Modelling](https://invisiblenetwork.ai/learn/nptel/112106912/2552d1b5fe2b) (Video)
52. [Introduction to Constitutive Modelling - part 2](https://invisiblenetwork.ai/learn/nptel/112106912/fea4f0200b2c) (Video)
53. [Elasticity](https://invisiblenetwork.ai/learn/nptel/112106912/ef44067d4dcf) (Video)
54. [Viscous and Viscoelastic Materials](https://invisiblenetwork.ai/learn/nptel/112106912/c829fc0db03f) (Video)
55. [Plasticity](https://invisiblenetwork.ai/learn/nptel/112106912/c06d7acfbe4d) (Video)
56. [Tutorial - Constitutive Modelling](https://invisiblenetwork.ai/learn/nptel/112106912/5d0449a3b324) (Video)
57. [Application - Linear Fluids](https://invisiblenetwork.ai/learn/nptel/112106912/c227cbd9f4a6) (Video)
58. [Navier-Stokes Equation](https://invisiblenetwork.ai/learn/nptel/112106912/dcec448759a8) (Video)
59. [Fluid Flow Problem](https://invisiblenetwork.ai/learn/nptel/112106912/ec72189ebc53) (Video)
60. [Summary](https://invisiblenetwork.ai/learn/nptel/112106912/23b20ab52ff4) (Video)