Example: 4-node Tetrahedral - LearnFEA

Example: 4-node Tetrahedral - LearnFEA

The Finite Element Method for Linear Structural Analysis Example: 4-node Tetrahedral

The Finite Element Method for Linear Structural Analysis

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Introduction

Course Material

Introduction - Part 1

Video - 00:13:27 mins

Introduction - Part 2

Video - 00:11:32 mins

Introduction - Part 3

Video - 00:14:47 mins

Abaqus Instalation Guide

Video - 00:15:49 mins

Workshop 01 - Connecting Lug - Problem Specification

Video - 00:12:35 mins

Workshop 01 - Connecting Lug - Pre-analysis

Video - 00:13:10 mins

Workshop 01 - Connecting Lug - Create Domain

Video - 00:18:03 mins

Workshop 01 - Connecting Lug - Mesh the Domain

Video - 00:21:09 mins

Workshop 01 - Connecting Lug - Create Material and Instance

Video - 00:10:33 mins

Workshop 01 - Connecting Lug - Apply BCs and Solve BVP

Video - 00:13:42 mins

Workshop 01 - Connecting Lug - Verification - Part 1

Video - 00:19:32 mins

Workshop 01 - Connecting Lug - Verification - Part 2

Video - 00:14:50 mins

Workshop 01 - Connecting Lug - Verification - Part 3

Video - 00:18:01 mins

Workshop 01 - Connecting Lug - Convergence Study

Video - 00:10:53 mins

Linear Elastic Spring Element

Linear Elastic Spring Element - Part 1

Video - 00:16:21 mins

Linear Elastic Spring Element - Part 2

Video - 00:20:59 mins

Linear Elastic Spring Element - Part 3

Video - 00:19:32 mins

System Assembly in Global Coordinates - Part 1

Video - 00:16:05 mins

System Assembly in Global Coordinates - Part 2

Video - 00:27:15 mins

Exercises - Part 1

Video - 00:28:57 mins

Exercises - Part 2

Video - 00:29:51 mins

Workshop 02 - Spring Element - Pre-analysis

Video - 00:16:20 mins

Workshop 02 - Spring Element - Define Domain

Video - 00:14:01 mins

Workshop 02 - Spring Element - Define BCs and Governing Equations

Video - 00:20:44 mins

Workshop 02 - Spring Element - Verification

Video - 00:14:05 mins

Workshop 02 - Spring Element - Study Input File

Video - 00:14:10 mins

Linear Elastic Bar Element

Elastic Bar Element - Part 1

Video - 00:10:21 mins

Elastic Bar Element - Part 2

Video - 00:15:26 mins

Elastic Bar Element - Part 3

Video - 00:20:51 mins

Exercise - Part 1

Video - 00:13:59 mins

Exercise - Part 2

Video - 00:11:59 mins

Exercise - Part 3

Video - 00:9:23 mins

Video - 00:20:31 mins

Castigliano's First Theorem - Part 1

Video - 00:20:07 mins

Castigliano's First Theorem - Part 2

Video - 00:28:41 mins

Minimum Potential Energy - Part 1

Video - 00:20:12 mins

Minimum Potential Energy - Part 2

Video - 00:13:52 mins

Workshop 03 - Bar Element - Problem Specification

Video - 00:5:48 mins

Workshop 03 - Bar Element - Pre-Analysis

Video - 00:21:29 mins

Workshop 03 - Bar Element - Define Domain

Video - 00:13:25 mins

Workshop 03 - Bar Element - Setup BCs and Define Governing Equation

Video - 00:18:10 mins

Workshop 03 - Bar Element - Post-Processing

Video - 00:16:55 mins

Workshop 03 - Bar Element - Analyse input file

Video - 00:21:17 mins

Truss Structures

Nodal Equilibrium Equations - Part 1

Video - 00:27:11 mins

Nodal Equilibrium Equations - Part 2

Video - 00:28:48 mins

Element Transformation

Video - 00:30:18 mins

Direct Assembly of Global Stiffness Matrix - Part 1

Video - 00:17:04 mins

Direct Assembly of Global Stiffness Matrix - Part 2

Video - 00:28:53 mins

Direct Assembly of Global Stiffness Matrix - Part 3

Video - 00:17:06 mins

Boundary Conditions, Constraint Forces

Video - 00:18:16 mins

Element Strain and Stress - Part 1

Video - 00:22:35 mins

Element Strain and Stress - Part 2

Video - 00:38:12 mins

Comprehensive Example - Part 1

Video - 00:30:07 mins

Comprehensive Example - Part 2

Video - 00:33:38 mins

Comprehensive Example - Part 3

Video - 00:53:33 mins

Three dimensional Trusses - Part 1

Video - 00:21:56 mins

Three dimensional Trusses - Part 2

Video - 00:22:23 mins

Workshop 04 - Problem Specification

Video - 00:8:23 mins

Workshop 04 - Pre-analysis

Video - 00:16:56 mins

Workshop 04 - Define BPV - Part 1

Video - 00:17:41 mins

Workshop 04 - Define BPV - Part 2

Video - 00:14:16 mins

Workshop 04 - Verification

Video - 00:23:52 mins

Workshop 04 - Input File

Video - 00:13:07 mins

Beam Element

Elementary Beam Theory - Part 1

Video - 00:21:59 mins

Elementary Beam Theory - Part 2

Video - 00:20:12 mins

Elementary Beam Theory - Part 3

Video - 00:33:28 mins

Video - 00:29:28 mins

Beam Element Stiffness Matrix - Part 1

Video - 00:26:34 mins

Beam Element Stiffness Matrix - Part 2

Video - 00:25:49 mins

Element Load Vector and Exercise

Video - 00:30:04 mins

Work Equivalence for Distributed Loads - Part 1

Video - 00:22:38 mins

Work Equivalence for Distributed Loads - Part 2

Video - 00:18:14 mins

Flexure Element with Axial Loading - Part 1

Video - 00:25:11 mins

Flexure Element with Axial Loading - Part 2

Video - 00:20:34 mins

Flexure Element with Axial Loading - Part 3

Video - 00:21:19 mins

A General Three-Dimensional Beam Element - Part 1

Video - 00:17:44 mins

A General Three-Dimensional Beam Element - Part 2

Video - 00:13:30 mins

Workshop 05 - Problem Specification

Video - 00:11:08 mins

Workshop 05 - Pre-analysis

Video - 00:15:42 mins

Workshop 05 - BPV Definition - Part 1

Video - 00:20:27 mins

Workshop 05 - BPV Definition - Part 2

Video - 00:29:38 mins

Workshop 05 - BPV Definition - Part 3

Video - 00:19:08 mins

Workshop 05 - Verification

Video - 00:25:12 mins

Workshop 05 - Analyse Stress and Displacement

Video - 00:19:59 mins

Equations of Elasticity

Strain-Displacement Relations

Video - 00:32:38 mins

Stress-Strain Relations

Video - 00:26:36 mins

Equilibrium Equations

Video - 00:33:47 mins

Video - 00:3:46 mins

Matrix Mathematics and Solution Techniques for Linear Algebraic Equations

Matrix Mathematics - Basic Definitions

Video - 00:12:9 mins

Matrix Mathematics - Simple Matrix Operations

Video - 00:10:24 mins

Matrix Mathematics - The Determinant of a Matrix

Video - 00:23:41 mins

Matrix Mathematics - The Inverse of Matrix

Video - 00:18:27 mins

Solution Techniques for Linear Algebraic Equations - Gauss Elimination

Video - 00:23:57 mins

Solution Techniques for Linear Algebraic Equations - LU Decomposition

Video - 00:22:26 mins

Solution Techniques for Linear Algebraic Equations - Gauss Seidel Method

Video - 00:18:39 mins

Plane Stress

Equations of Elasticity for Plane Stress

Video - 00:30:58 mins

Finite Element Formulation Constant Strain Triangle - Part 1

Video - 00:41:29 mins

Finite Element Formulation Constant Strain Triangle - Part 2

Video - 00:29:52 mins

Finite Element Formulation Constant Strain Triangle - Part 3

Video - 00:34:50 mins

Summary and Stiffness Matrix Evaluation

Video - 00:27:07 mins

Distributed Loads - Part 1

Video - 00:41:22 mins

Distributed Loads - Part 2

Video - 00:38:36 mins

Body Forces - Part 1

Video - 00:23:52 mins

Body Forces - Part 2

Video - 00:24:9 mins

Workshop 06 - Pre-analysis

Video - 00:27:54 mins

Workshop 06 - BVP Definition - Part 1

Video - 00:23:42 mins

Workshop 06 - BVP Definition - Part 2

Video - 00:32:37 mins

Workshop 06 - Symmetry Condition

Video - 00:27:58 mins

Workshop 06 - Convergence Study

Video - 00:41:29 mins

Workshop 06 - End of Verification

Video - 00:30:50 mins

Workshop 06 - Final Comments

Video - 00:27:15 mins

Plane Strain

Equations of Elasticity for Plane Strain

Video - 00:23:39 mins

Finite Element Formulation Four-node Rectangle - Part 1

Video - 00:27:21 mins

Finite Element Formulation Four-node Rectangle - Part 2

Video - 00:36:2 mins

Finite Element Formulation Four-node Rectangle - Part 3

Video - 00:28:42 mins

Finite Element Formulation Four-node Rectangle - Part 4

Video - 00:24:8 mins

Numerical Integration Gaussian Quadrature - Part 1

Video - 00:22:36 mins

Numerical Integration Gaussian Quadrature - Part 2

Video - 00:33:11 mins

Workshop 07 - Pre-Analysis

Video - 00:24:54 mins

Workshop 07 - Define BVP

Video - 00:27:49 mins

Workshop 07 - Shear Locking

Video - 00:56:36 mins

Workshop 07 - Hourglass and Incompatible mode elements

Video - 00:25:42 mins

Workshop 07 - Numerical Singularity

Video - 00:26:11 mins

Isoparametric Formulation

Four-node quadrilateral element - Part 1

Video - 00:51:42 mins

Four-node quadrilateral element - Part 2

Video - 00:28:25 mins

Four-node quadrilateral element - Part 3

Video - 00:28:20 mins

Video - 00:21:34 mins

Singularity of the Jacobian Matrix

Video - 00:25:54 mins

Workshop 08 - Pre-analysis

Video - 00:14:31 mins

Workshop 08 - Define BVP

Video - 00:29:25 mins

Workshop 08 - Post-Processing

Video - 00:30:22 mins

General Three Dimensional Stress Element

Introduction and Equations of Elasticity

Video - 00:26:52 mins

Finite Element Formulation

Video - 00:27:20 mins

Example: 4-node Tetrahedral

Video - 00:33:54 mins

Stress and Strain Computation - Stress vs Strain Curve

Video - 00:29:1 mins

Stress and Strain Computation - Maximum shear stress theory

Video - 00:33:58 mins

Stress and Strain Computation - Distortion Energy Theory

Video - 00:23:22 mins

Workshop 09 - Pre-analysis

Video - 00:8:16 mins

Workshop 09 - Define BVP - Part 1

Video - 00:29:51 mins

Workshop 09 - Define BVP - Part 2

Video - 00:28:28 mins

Workshop 09 - Post-Processing

Video - 00:29:35 mins

Shell Element

Plate Element Theory

Video - 1:13:11 mins

Plate Element Formulation

Video - 1:1:2 mins

Shell Element Formulation

Video - 00:46:12 mins

Workshop 10 - Skew Plate

Video - 1:26:35 mins

Video - 00:55:2 mins

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