# Finite Element Analysis and Constitutive Modelling in Geomechanics

- Institution: IIT Madras
- Department: Civil Engineering
- Teacher: Prof. K Rajagopal
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/105106222)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/105106222)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introductory lecture & course outline](https://invisiblenetwork.ai/learn/nptel/105106222/5124ed38c32f) (Video)
2. [Matrix algebra & Gauss elimination method](https://invisiblenetwork.ai/learn/nptel/105106222/880672d2a26e) (Video)
3. [Development of equilibrium equations for 1-d systems](https://invisiblenetwork.ai/learn/nptel/105106222/e9892afc9cb0) (Video)
4. [Development of equilibrium equations for 2-d bar elements and truss structures](https://invisiblenetwork.ai/learn/nptel/105106222/dd81b62c4c03) (Video)
5. [Development of equilibrium equations for beam elements](https://invisiblenetwork.ai/learn/nptel/105106222/9f23907bf828) (Video)
6. [Virtual work & principle of stationary potential energy](https://invisiblenetwork.ai/learn/nptel/105106222/9289098dbf4c) (Video)
7. [Introduction to Rayleigh-Ritz Method](https://invisiblenetwork.ai/learn/nptel/105106222/a8ee8560e105) (Video)
8. [Use of GEOFEM finite element program: Part - I](https://invisiblenetwork.ai/learn/nptel/105106222/8cb2ed17b70b) (Video)
9. [Use of GEOFEM finite element program: Part - II](https://invisiblenetwork.ai/learn/nptel/105106222/1ffdc575d77c) (Video)
10. [Stresses and strains in continuum](https://invisiblenetwork.ai/learn/nptel/105106222/ba28387f712c) (Video)
11. [2-dimensional approximations of continuum](https://invisiblenetwork.ai/learn/nptel/105106222/25a48e85b1f0) (Video)
12. [Analysis of continuum systems](https://invisiblenetwork.ai/learn/nptel/105106222/75d878b2d65d) (Video)
13. [3-node Constant Strain Triangle](https://invisiblenetwork.ai/learn/nptel/105106222/4a9f72f5a24a) (Video)
14. [Classical methods for developing shape functions](https://invisiblenetwork.ai/learn/nptel/105106222/73ab07d6c042) (Video)
15. [Numerical integration techniques](https://invisiblenetwork.ai/learn/nptel/105106222/e3c8aa871033) (Video)
16. [Isoparametric Elements Part-I](https://invisiblenetwork.ai/learn/nptel/105106222/5b4fca3aabb4) (Video)
17. [Isoparametric Elements - Part-II](https://invisiblenetwork.ai/learn/nptel/105106222/5c2306caca0b) (Video)
18. [Isoparametric calculations for stiffness & load vectors](https://invisiblenetwork.ai/learn/nptel/105106222/20673a09368f) (Video)
19. [Force vector due to surface traction](https://invisiblenetwork.ai/learn/nptel/105106222/5df6339e22c7) (Video)
20. [Patch test & Finite Element Modelling](https://invisiblenetwork.ai/learn/nptel/105106222/ca036d761733) (Video)
21. [GEOFEM : Part - III](https://invisiblenetwork.ai/learn/nptel/105106222/f6fe4127016c) (Video)
22. [In situ earth pressures, construction & excavation sequences](https://invisiblenetwork.ai/learn/nptel/105106222/90beecf24c15) (Video)
23. [Joint & amp; interface element modelling](https://invisiblenetwork.ai/learn/nptel/105106222/7f4b8b2606db) (Video)
24. [Modelling of interfaces - Joint Elements](https://invisiblenetwork.ai/learn/nptel/105106222/306322689717) (Video)
25. [Mapped infinite elements for semi-infinite soil medium](https://invisiblenetwork.ai/learn/nptel/105106222/68627ab101e2) (Video)
26. [Some observations of soil behaviour & stress invariants](https://invisiblenetwork.ai/learn/nptel/105106222/e8dda94f34e4) (Video)
27. [Nonlinear analysis technique-1](https://invisiblenetwork.ai/learn/nptel/105106222/bcf04607008a) (Video)
28. [Nonlinear analysis technique-2](https://invisiblenetwork.ai/learn/nptel/105106222/f68902d5ce93) (Video)
29. [Nonlinear techniques-3](https://invisiblenetwork.ai/learn/nptel/105106222/868cbab50a15) (Video)
30. [Bilinear elastic models](https://invisiblenetwork.ai/learn/nptel/105106222/0362e220d6ff) (Video)
31. [Nonlinear elastic and hyperbolic models](https://invisiblenetwork.ai/learn/nptel/105106222/87f807888a68) (Video)
32. [Modified hyperbolic model & determination of material parameters](https://invisiblenetwork.ai/learn/nptel/105106222/75f6e50e75e6) (Video)
33. [Stress correction procedures in finite element analysis](https://invisiblenetwork.ai/learn/nptel/105106222/a1bec3d6a0cf) (Video)
34. [Numerical examples on working with modified hyperbolic models](https://invisiblenetwork.ai/learn/nptel/105106222/d7d4237cf859) (Video)
35. [Some Limit solutions in geotechnical engineering](https://invisiblenetwork.ai/learn/nptel/105106222/b756c734795a) (Video)
36. [Elastic - Plastic Constitutive Matrix](https://invisiblenetwork.ai/learn/nptel/105106222/3eafe60376d4) (Video)
37. [Nonassociated Elastic- Plastic Joint Element](https://invisiblenetwork.ai/learn/nptel/105106222/6381e6021a12) (Video)
38. [Introduction to consolidation & dynamic analysis](https://invisiblenetwork.ai/learn/nptel/105106222/99b46e5800ea) (Video)
39. [Cam Clay models](https://invisiblenetwork.ai/learn/nptel/105106222/3a89977fc72b) (Video)
40. [Modified cam clay models](https://invisiblenetwork.ai/learn/nptel/105106222/3b6825426ef7) (Video)
41. [FEM in Geotechnical applications](https://invisiblenetwork.ai/learn/nptel/105106222/ba9d764f2fb9) (Video)
42. [Soil behaviour & An Introduction to the Existing Soil Models](https://invisiblenetwork.ai/learn/nptel/105106222/f8f3c08df49d) (Video)
43. [Simulation of soil liquefaction using FLAC](https://invisiblenetwork.ai/learn/nptel/105106222/360c17eb72b1) (Video)
44. [Mitigation of soil liquefaction using granular columns](https://invisiblenetwork.ai/learn/nptel/105106222/91b74e513b3f) (Video)