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Course11210420548 lectures

Basics of Finite Element Analysis - II

Prof. Nachiketa Tiwari · IIT Kanpur

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture 01: Overview of the Course Video
  2. Lecture 02: Fundamental principles Video
  3. Lecture 03: Steps followed in FEA Video
  4. Lecture 04: Weak Formulation Video
  5. Lecture 05: Weak Formulation: Example Problem Video
  6. Lecture 06: Assembling element level equations Video

Week 2

  1. Lecture 07: Errors in FEA Solution Video
  2. Lecture 08: Measures of Errors in FEA Solution Video
  3. Lecture 09: Convergence and Accuracy of Solution (Part-I) Video
  4. Lecture 10: Convergence and Accuracy of Solution (Part-II) Video
  5. Lecture 11: Convergence (Part-I) Video
  6. Lecture 12: Convergence (Part-II) Video

Week 3

  1. Lecture 13: Numerical Integration Schemes - Part I Video
  2. Lecture 14: Numerical Integration Schemes - Part II Video
  3. Lecture 15: Approximations - Part I Video
  4. Lecture 16: Approximations - Part II Video
  5. Lecture 17: Approximations - Part III Video
  6. Lecture 18: Gauss Quadrature Video

Week 4

  1. Lecture 19: Gaussian Quadrature review Video
  2. Lecture 20: Gaussian Quadrature-Part II Video
  3. Lecture 21: Gaussian Quadrature-Part III Video
  4. Lecture 22: Newton-Cotes Quadrature Video
  5. Lecture 23: Two dimensional FEM problem Video
  6. Lecture 24: Two dimensional one variable FEM problem Video

Week 5

  1. Lecture 25: 2D Finite element problems with single variable (Model equation) Video
  2. Lecture 26: 2D Finite element problems with single variable (Weak formulation) Video
  3. Lecture 27: Elemental level 2D finite element equations Video
  4. Lecture 28: Interpolation functions for 2D finite element problems Video
  5. Lecture 29: Interpolation functions for linear triangular elements (Part-I) Video
  6. Lecture 30: Interpolation functions for linear triangular elements (Part-II) Video

Week 6

  1. Lecture 31: Interpolation functions for Triangular and Rectangular elements Video
  2. Lecture 32: Evaluation of Stiffness and Force matrices Video
  3. Lecture 33: Stiffness and Force matrices for Triangular element Video
  4. Lecture 34: Stiffness and Force matrices for Rectangular element Video
  5. Lecture 35: Boundary elements for Finite element Equations Video
  6. Lecture 36: Boundary integrals for Triangular element Video

Week 7

  1. Lecture 37 :Assembly of 2-D finite elements (Part-I) Video
  2. Lecture 38: Assembly of 2-D finite elements (Part-II) Video
  3. Lecture 39: 2-D Heat transfer problems (Part-I ) Video
  4. Lecture 40: 2-D Heat transfer problems (Part-II) Video
  5. Lecture 41: Numerical integration schemes for 2-D problems Video
  6. Lecture 42: Jacobian and transformation matrix for 2-D problems Video

Week 8

  1. Lecture 43: Numerical Integration Schemes for 2-D Problems : Closure Video
  2. Lecture 44: Post - processing Video
  3. Lecture 45: Plane Elasticity Problems Video
  4. Lecture 46: Plane Elasticity Problems : Development of Weak form Video
  5. Lecture 47: Plane Elasticity Problems : Element level equations Video
  6. Lecture 48: Plane Elasticity Problems : Closure Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Mechanical Engineering
Teacher
Prof. Nachiketa Tiwari
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
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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