Finite Element Method

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360 Min

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What you'll learn

By the end of this course, students will have the knowledge and skills necessary to effectively apply the Finite Element Method to solve practical engineering problems, conduct research in computational mechanics, and pursue further studies or careers in fields such as structural analysis, fluid dynamics, heat transfer, and electromagnetics.

Key topics covered

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

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Course Details

The Finite Element Method (FEM) is a powerful numerical technique used to solve partial differential equations (PDEs) governing physical phenomena across various engineering and scientific disciplines. This course provides a comprehensive introduction to the theory, implementation, and applications of the Finite Element Method. Topics covered include finite element discretization, interpolation functions, assembly of element equations, solution techniques, error estimation, and practical considerations in FEM analysis. Through theoretical lectures, hands-on programming exercises, and real-world applications, students will develop a solid understanding of FEM principles and gain proficiency in applying FEM to solve complex engineering problems.