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Finite Element Method

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This course format through pre-recorded video. You can buy and watch it to learn at any time.

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What you’ll learn

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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.

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Course tags

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Industry domains :

Oil & Gas , Energy & Utilities , Aerospace

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Engineering Disciplines :

Mechanical , Chemical & Process , Civil & Structural

Course content

1

Types of Elements in Finite Element Method :

02

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2

Advantage ,Disadvantage and Application of FEM :

03

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3

Need of Matrix Algebra in FEM :

04

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