# InfoCoBuild

## Basics of Finite Element Analysis II

Basics of Finite Element Analysis II. Instructor: Prof. Nachiketa Tiwari, Department of Mechanical Engineering, IIT Kanpur. This course is intended for all those who want to learn Finite Element Analysis from an application standpoint. Currently, many users of FEA have limited understanding of theoretical foundation of this powerful method. The consequence is that quite often they use commercial codes inaccurately, and do not realize that their results may be flawed. The course is intended to address this limitation by making the student aware of the underlying mathematics in easy to understand format. The course is open to all engineering students who have at the minimum successfully completed two years of their B. Tech (or equivalent) degrees. The course is also open to all professionals in industry who wish to learn fundamentals of FEA in a semi-formal but structured setting, and plan to use this knowledge in their workplace. (from nptel.ac.in)

 Overview of the Course

 Lecture 01 - Overview of the Course Lecture 02 - Fundamental Principles Lecture 03 - Steps followed in Finite Element Analysis Lecture 04 - Weak Formulation Lecture 05 - Weak Formulation: Example Problems Lecture 06 - Assembling Element Level Equations Lecture 07 - Errors in FEA Solution Lecture 08 - Measures of Errors in FEA Solution Lecture 09 - Convergence and Accuracy of Solution Lecture 10 - Convergence and Accuracy of Solution (cont.) Lecture 11 - Discussion on Energy Convergence Lecture 12 - Observations on Types of Convergences Lecture 13 - Numerical Integration Schemes Lecture 14 - Numerical Integration Schemes (cont.) Lecture 15 - Approximations Lecture 16 - Approximations: Shape functions, Jacobian Lecture 17 - Approximations: Jacobian, Types of Formulation, Numerical Integration Lecture 18 - Gauss Quadrature Lecture 19 - Gauss Quadrature Review Lecture 20 - Gauss Quadrature: Evaluation of Kij (cont.) Lecture 21 - Gauss Quadrature: Evaluation of Kij (cont.) Lecture 22 - Newton-Cotes Quadrature Lecture 23 - Two Dimensional FEM Problem Lecture 24 - Two Dimensional One Variable FEM Problem Lecture 25 - 2D Finite Element Problems with Single Variable (Model Equation) Lecture 26 - 2D Finite Element Problems with Single Variable (Weak Formulation) Lecture 27 - Elemental Level 2D Finite Element Equations Lecture 28 - Interpolation Functions for 2D Finite Element Problems Lecture 29 - Interpolation Functions for Linear Triangular Elements Lecture 30 - Interpolation Functions for Linear Triangular Elements (cont.) Lecture 31 - Interpolation Functions for Triangular and Rectangular Elements Lecture 32 - Equation of Stiffness and Force Matrices Lecture 33 - Stiffness and Force Matrices for Triangular Element Lecture 34 - Stiffness and Force Matrices for Rectangular Element Lecture 35 - Boundary Elements for Finite Element Equations Lecture 36 - Boundary Integrals for Triangular Element Lecture 37 - Assembly of 2D Finite Elements Lecture 38 - Assembly of 2D Finite Elements (cont.) Lecture 39 - 2D Heat Transfer Problems Lecture 40 - 2D Heat Transfer Problems (cont.) Lecture 41 - Numerical Integration Schemes for 2D Problems Lecture 42 - Jacobian and Transformation Matrix for 2D Problems Lecture 43 - Numerical Integration Schemes for 2D Problems: Closure Lecture 44 - Gaussian Quadrature Points, Post Processing Lecture 45 - Plane Elasticity Problems Lecture 46 - Plane Elasticity Problems: Development of Weak Form Lecture 47 - Plane Elasticity Problems: Element Level Equations Lecture 48 - Plane Elasticity Problems: Closure

 References Basics of Finite Element Analysis II Instructor: Prof. Nachiketa Tiwari, Department of Mechanical Engineering, IIT Kanpur. This course is intended for all those who want to learn Finite Element Analysis from an application standpoint.