Newton-Raphson Method - Part 1 - LearnFEA

Course Content

Introduction

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Course Materials

Nonlinearities associated with material

Simple Abaqus Exercise with Material Nonlinearity

Abaqus Surface-Based Coupling Constraint – LearnFEA Article

Nonlinearities Associated with Large Deformations

Simple Abaqus Exercise with Large Deformations Nonlinearity

Nonlinearities Associated with Geometry – Large Displacements

Simple Abaqus Exercise with Large Displacements Nonlinearity

Nonlinearities Associated with Changes in Boundary Conditions: Contact Problem

Simple Abaqus Exercise with Contact Nonlinearity

First Idea on How to Update the Stiffness Matrix – Part 1

First Idea on How to Update the Stiffness Matrix – Part 2

Newton-Raphson Method for NonLinear FEA – LearnFEA Article

Solution of Simple Nonlinear Problems

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Initial Comments on Plasticity

Stress-Strain Curve: Ramberg-Osgood Relationship (LearnFEA Article)

The Basic Problem of Plasticity

The Basic Problem of Plasticity – Abaqus Exercise

The Basic Problem of Geometric Nonlinearity

The Basic Problem of Geometric Nonlinearity – Abaqus Exercise

Geometric Nonlinearity Accompanied by Structural Instability

Geometric Nonlinearity Accompanied by Structural Instability – Abaqus Exercise

Numerical Application of Contact

Initial Comments about Contact – Part 1

Initial Comments about Contact – Part 2

Surface-to-Surface Contact in Abaqus (LearnFEA Article)

Geometric Nonlinearity – Understanding the Concept from One-Dimensional

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Coupling between Axial Loads and Flexure from the Beam Element – Part 1

Coupling between Axial Loads and Flexure from the Beam Element – Part 2

Coupling between Axial Loads and Flexure from the Beam Element – Part 3

The geometric stiffness matrix – Part 1

The geometric stiffness matrix – Part 2

The geometric stiffness matrix – Part 3

Beam Large Displacements – Part 1 – Abaqus Exercise

Beam Large Displacements – Part 2 – Abaqus Exercise

Recall some Concepts of Plate Theory

Shell Large Displacement – Pre-analysis

Shell Large Displacement – Abaqus Solution

Structural Instability (Buckling) – Eigenvalue Method

Buckling analysis of beams – Abaqus Exercise

Buckling of a Simple Column – Abaqus Solution

The Study of Large Deformations – Part 1

The Study of Large Deformations – Part 2

General Formulation of Nonlinear FEA

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Advanced Mechanics of Materials and Applied Elasticity – Chapter 1

Uniaxial Stress State

Uniaxial Stress State – Abaqus Exercise

Biaxial Stress State

Biaxial Stress State – Abaqus Exercise

Triaxial Stress State

Triaxial Stress State – Abaqus Exercise

Introduction to Tensors and Indicial Notation – Part 1

Introduction to Tensors and Indicial Notation – Part 2

Introduction to Tensors and Indicial Notation – Part 3

Introduction to Tensors and Indicial Notation – Part 4

Introduction to Tensors and Indicial Notation – Part 5

Deformation Gradient Tensor – Part 1

Continuum Mechanics for Engineers. Theory and Problems (Free Course)

Deformation Gradient Tensor – Part 2

Deformation Gradient Tensor – Part 3

General Formulation of FEA – Part 1

General Formulation of FEA – Part 2

General Formulation of FEA – Part 3

General Formulation of FEA – Part 4

General Formulation of FEA – Part 5

General Formulation of FEA – Part 6

Newton-Raphson Method – Part 1

Newton-Raphson Method – Part 2

Newton-Raphson Method – Part 3

Plasticity

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Yield Criterion

Plastic Flow Rule – Part 1

Plastic Flow Rule – Part 2

Plastic Flow Rule – Part 3

Simulation of Bolted End-Plate Connection

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Workflow Overview: ANSA -> Abaqus -> META

Bolted End-Plate Connection – Part 1

Bolted End-Plate Connection – Part 2

Bolted End-Plate Connection – Part 3

Bolted End-Plate Connection – Part 4

Bolted End-Plate Connection – Part 5

Bolted End-Plate Connection – Part 6

Bolted End-Plate Connection – Part 7

Bolted End-Plate Connection – Part 8

Bolted End-Plate Connection – Part 9

The Finite Element Method for Nonlinear Structural Analysis

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