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Finite Element Analysis and Constitutive Modelling in Geomechanics

Engineering Academy

Engineering Academy

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Course typeWatch to learn anytime
Duration 1464 Min
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Language English
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Finite Element Analysis and Constitutive Modelling in Geomechanics

Why enroll

This course is highly valuable for postgraduate students, researchers, and practicing geotechnical engineers who want to move beyond conventional analytical methods and adopt advanced numerical modeling techniques. With increasing complexity in geotechnical projects such as deep excavations, underground structures, and complex soil conditions, FEM-based analysis has become an essential engineering tool.

Enrolling in this course helps learners gain expertise in modern geotechnical analysis methods used in industry and research. It strengthens problem-solving skills, enhances understanding of soil and rock behavior, and prepares learners for careers in geotechnical consultancy, research organizations, infrastructure development, and advanced academic studies.

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Course content

The course is readily available, allowing learners to start and complete it at their own pace.

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Finite Element Analysis and Constitutive Modelling in Geomechanics

32 Lectures

1464 min

  • INTRODUCTION

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    Preview

    60 min

  • 2-dimensional approximations of continuum

    34 min

  • Stresses and strains in continuum

    48 min

  • Analysis of continuum systems

    58 min

  • 3-node Constant Strain Triangle

    25 min

  • Classical methods for developing shape functions

    55 min

  • Numerical integration techniques

    54 min

  • Isoparametric Elements Part-I

    27 min

  • Isoparametric Elements - Part-II

    38 min

  • Isoparametric calculations for stiffness & load vectors

    47 min

  • Force vector due to surface traction

    24 min

  • Patch test & Finite Element Modelling

    56 min

  • GEOFEM : Part - III

    35 min

  • In situ earth pressures, construction & excavation sequences

    41 min

  • Joint & amp; interface element modelling

    38 min

  • Modelling of interfaces - Joint Elements

    49 min

  • Mapped infinite elements for semi-infinite soil medium

    54 min

  • Some observations of soil behaviour & stress invariants

    51 min

  • Nonlinear analysis technique-1

    31 min

  • Nonlinear analysis technique-2

    32 min

  • Bilinear elastic models

    45 min

  • Nonlinear techniques-3

    36 min

  • Nonlinear elastic and hyperbolic models

    45 min

  • Modified hyperbolic model & determination of material parameters

    52 min

  • Stress correction procedures in finite element analysis

    59 min

  • Numerical examples on working with modified hyperbolic models

    42 min

  • Some Limit solutions in geotechnical engineering

    61 min

  • Elastic - Plastic Constitutive Matrix

    60 min

  • Nonassociated Elastic- Plastic Joint Element

    38 min

  • Introduction to consolidation & dynamic analysis

    67 min

  • Cam Clay models

    36 min

  • Modified cam clay models

    66 min

Course details

The Finite Element Analysis and Constitutive Modelling in Geomechanics course provides an advanced understanding of numerical modeling techniques used to analyze the mechanical behavior of soils and rocks. The course focuses on applying the finite element method (FEM) to solve complex geotechnical problems involving stress–strain behavior, deformation, and failure under various loading and boundary conditions.

The course begins with the fundamentals of finite element formulation, including discretization, shape functions, and solution procedures. It then introduces constitutive modeling of geomaterials, explaining how different stress–strain relationships represent soil and rock behavior under elastic, elasto-plastic, and time-dependent conditions. Emphasis is placed on understanding widely used constitutive models and their implementation in numerical analysis. Practical applications such as foundation analysis, slope stability, tunneling, excavation, and soil–structure interaction are integrated throughout the course.

By the end of the course, learners develop the ability to select appropriate constitutive models, build numerical models, interpret results, and apply FEM tools to real-world geotechnical engineering problems.

SOURCE- Youtube [NPTEL NOC IITM]

Course suitable for

  • Oil & Gas
  • Rail & Transport
  • Geoscience
  • Civil & Structural

Key topics covered

  1. Fundamentals of finite element method (FEM)

  2. Discretization and mesh generation

  3. Shape functions and interpolation techniques

  4. Governing equations and solution strategies

  5. Stress–strain behavior of soils and rocks

  6. Elastic and elasto-plastic constitutive models

  7. Mohr–Coulomb and Drucker–Prager models

  8. Advanced constitutive models for geomaterials

  9. Initial stress and boundary conditions in FEM

  10. Coupled hydro-mechanical analysis

  11. Numerical modeling of foundations and slopes

  12. FEM analysis of excavations and tunnels

  13. Soil–structure interaction modeling

  14. Interpretation and validation of numerical results

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