Mastering Finite Element Analysis: A Comprehensive Guide

Types of Elements in Finite Element Method

Advantage ,Disadvantage and Application of FEM

Need of Matrix Algebra in FEM

Gauss elimination method

Direct Stiffness matrix

Global stiffness matrix

Properties of Stiffness matrix

1 D FEM for Structural Analysis

Elimination Approach

Penalty Approach

Principle of Minimum Potential Energy

Introduction to Shape Function

Shape function in Local and Natural coordinate system

Isoparametric Formulation for 1-D element

Properties of Shape Functions

Strain Displacement Matrix

Quadratic Shape Function

Steps in FEM

2 D Finite Element Method

Isoparametric Formulation Numerical

Element Stiffness Matrix

Shape function for CST element

Strain Displacement Matrix for Triangular element

Stress ,Strain Relationship Matrix

Plane Stress & Plane Strain

Gauss Quadrature Method

Weighted Residual Method

Galerkin Method

Sub Domain Method

Variational Method Introduction

Variational method Numerical by Rayleigh Ritz Method