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Course10510622244 lectures

Finite Element Analysis and Constitutive Modelling in Geomechanics

Prof. K Rajagopal · IIT Madras

Start with lecture 1 At NPTEL

Lectures

week-01

  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

week-02

  1. Virtual work & principle of stationary potential energy Video
  2. Introduction to Rayleigh-Ritz Method Video
  3. Use of GEOFEM finite element program: Part - I Video
  4. Use of GEOFEM finite element program: Part - II Video

week-03

  1. Stresses and strains in continuum Video
  2. 2-dimensional approximations of continuum Video
  3. Analysis of continuum systems Video
  4. 3-node Constant Strain Triangle Video

week-04

  1. Classical methods for developing shape functions Video
  2. Numerical integration techniques Video

week-05

  1. Isoparametric Elements Part-I Video
  2. Isoparametric Elements - Part-II Video

week-06

  1. Isoparametric calculations for stiffness & load vectors Video
  2. Force vector due to surface traction Video
  3. Patch test & Finite Element Modelling Video
  4. GEOFEM : Part - III Video

week-07

  1. In situ earth pressures, construction & excavation sequences Video
  2. Joint & amp; interface element modelling Video

week-08

  1. Modelling of interfaces - Joint Elements Video
  2. Mapped infinite elements for semi-infinite soil medium Video
  3. Some observations of soil behaviour & stress invariants Video

week-09

  1. Nonlinear analysis technique-1 Video
  2. Nonlinear analysis technique-2 Video
  3. Nonlinear techniques-3 Video
  4. Bilinear elastic models Video

week-10

  1. Nonlinear elastic and hyperbolic models Video
  2. Modified hyperbolic model & determination of material parameters Video
  3. Stress correction procedures in finite element analysis Video
  4. Numerical examples on working with modified hyperbolic models Video
  5. Some Limit solutions in geotechnical engineering Video

week-11

  1. Elastic - Plastic Constitutive Matrix Video
  2. Nonassociated Elastic- Plastic Joint Element Video
  3. Introduction to consolidation & dynamic analysis Video
  4. Cam Clay models Video
  5. Modified cam clay models Video

week-12

  1. FEM in Geotechnical applications Video
  2. Soil behaviour & An Introduction to the Existing Soil Models Video
  3. Simulation of soil liquefaction using FLAC Video
  4. Mitigation of soil liquefaction using granular columns Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Civil Engineering
Teacher
Prof. K Rajagopal
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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