NPTEL : NOC:Finite Element Method (Mechanical Engineering)

Co-ordinators : Prof. Biswanath Banerjee, Prof. Amit Shaw


Lecture 1 - Introduction

Lecture 2 - Introduction (Continued...)

Lecture 3 - Introduction (Continued...)

Lecture 4 - Introduction (Continued...)

Lecture 5 - Introduction (Continued...)

Lecture 6 - Elements of Calculation of Variations - I

Lecture 7 - Elements of Calculation of Variations - II

Lecture 8 - Elements of Calculation of Variations - III

Lecture 9 - Strong Form and Weak Form

Lecture 10 - Rayleigh - Ritz Method - I

Lecture 11 - Rayleigh - Ritz Method - II

Lecture 12 - Weighted Residual Method

Lecture 13 - Weighted Residual Method - Example

Lecture 14 - Concepts of Element and Axial Bar Problem

Lecture 15 - Axial Bar Problem

Lecture 16 - Axial Bar - II

Lecture 17 - Beam Formulation

Lecture 18 - Beam Stiffness Matrix

Lecture 19 - Problems

Lecture 20 - Beam Column

Lecture 21 - Problem

Lecture 22 - Share Deformable Beam Theory

Lecture 23 - Weak Form and Discretization

Lecture 24 - Reduced Integration Based Stiffness Matrix

Lecture 25 - Problem

Lecture 26 - Problem (Continued...)

Lecture 27 - Element of Formulation

Lecture 28 - Analysis of Plane Truss

Lecture 29 - Analysis of Plane Truss (Computer Implementation)

Lecture 30 - Analysis of Euler-Bernoulli Beam (Computer Implementation)

Lecture 31 - Analysis of Plane Frame (Computer Implementation)

Lecture 32 - Introduction to FEM in 2D

Lecture 33 - Continuity and Completeness

Lecture 34 - Shape Functions

Lecture 35 - Numerical Integration (Gaussian Quadrature)

Lecture 36 - Gaussian Quadrature in two dimension

Lecture 37 - Weak Form

Lecture 38 - Example

Lecture 39 - Iso-Parametric Formulation

Lecture 40 - Example with Quadrilateral Element

Lecture 41 - Computer Implementation

Lecture 42 - 2D Elasticity and Weak Form

Lecture 43 - Weak Form and Matrix Formulation

Lecture 44 - Weak Form to Matrix Form

Lecture 45 - Problems

Lecture 46 - Thermoelastic Problem

Lecture 47 - Torsion

Lecture 48 - Triangular Elements

Lecture 49 - Triangular Elements (Continued...)

Lecture 50 - Examples and Computer Implementation

Lecture 51 - Examples and Computer Implementation (Continued...)

Lecture 52 - Shear Locking

Lecture 53 - Selective reduced Integration and Modes of Q4 Element

Lecture 54 - Incompatible Elements

Lecture 55 - Nearly Incompressible Material

Lecture 56

Lecture 57 - B-Bar Method

Lecture 58 - Different Elements

Lecture 59 - Iso-parametric Formulation and Guass Quadrature

Lecture 60 - Closure