NOC:FEM and Constitutive Modelling in Geomechanics

Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Prof. K Rajagopal

NPTEL Co-ordinating Institute : IIT Madras

NPTEL Lecture Count : 44

NPTEL Course Size : 6.4 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)

Lecture Titles:

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