FM036004-Notes

Welcome to ME036004 - Introduction to Fracture Mechanics

Introduction

History of Fracture Mechanics

Linear Elastic Fracture Mechanics

Elasticity - A Reminder
Airy’s Stress Functions
Kirsch’s Infinite Plate
Inglis Solution
Fracture on the Atomic Scale
Griffith’s Energy Balance
The Energy Release Rate
Stress Intensity Factors
Stress Intensity Factors II
More on Stress Intensity Factors
Crack Tip Plasticity
Plane Strain Fracture
Testing for Toughness
Mixed Mode Fracture

Elastic-Plastic Fracture Mechanics

The J Integral
CTOD - Crack Tip Opening Displacement
J controlled fracture

Fatigue

1. Fatigue: Choosing a Design Approach
2. SN Curves
3. Paris Law

Dynamic Fracture

Strain Rate Effects in Fracture
The Split Hopkinson Bar
Crack Branching

Experimental Methods in Fracture Mechanics

Strain Gage Method
Digital Image Correlation
Caustics

Computational Methods in Fracture Mechanics

Crack tip elements
Damage Models
Extended Finite Elements Method

Microstructural Origin of Fracture Toughness

Cleavage Fracture
Dimple Fracture
Grain Boundaries Fracture
Brittel to Ductile Transition
Fractography

FEniCS

Using FENICS to solve simple problems in mechanics
Using FENICS to solve simple problems in mechanics
FEniCS example - Kirsch’s problem

Home Assignments

HomeWork 1
HomeWork 2
HomeWork 3

Projects

Guidelines for submitting a project
Suggested Projects
Project Examples

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Damage Models¶

in preparation

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Crack tip elements

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Extended Finite Elements Method

By S. Osovski
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