How To Undertake Fracture Mechanics Analysis with Finite Elements

Linear finite element analysis has for many years been widely used in the civil and mechanical engineering fields and, in particular, in the construction, automotive, aerospace, and offshore sectors. Finite element analysis is an integral part of the design cycle in many companies.

Finite element programs that have the capability to solve non-linear problems have also been available for many years, although they were originally used in the more specialised industries typified by nuclear and aerospace engineering. However, the application of non-linear finite element analysis to more general engineering has been growing rapidly, using commercially available packages of high quality and reliability.

The use of finite elements to solve fracture mechanics problems has also developed in parallel with this improving technology. Defects such as sharp cracks can be included in finite element models and analysed using the relevant linear or non-linear solution processes. In addition to the usual finite element outputs, special quantities can also be calculated which are of relevance to fracture mechanics, to indicate the conditions due to the presence of the defects.

This book aims to describe the background to fracture mechanics, and how the main fracture results can be calculated from the different types of finite element analysis. Discussion is included on how to use finite elements effectively, and several examples illustrate the concepts and potential accuracy that can be achieved.

Introduction

The Basics Of Fracture Mechanics

Introduction
Brittle Fracture
- Ductile Fracture
- Fatigue Fracture
- High Temperature and Creep Fracture
- Dynamic Fracture

The Main Fracture Parameters

- Introduction
- The Griffith Criterion
- General Crack Tip Geometry
- Modes at the Crack Tip
- Elastic Stress Fields around the Crack Tip
- The Westergaard Equations
  - Stresses
  - Displacements
- Potential Energy Release Rate
- Relationship Between G and K
- The J-Integral
- Elastic-Plastic Fracture Mechanics
  - The EPFM Potential Energy Release Rate: G or J
  - The EPFM CTOD: The Crack Opening Displacement
  - The Behaviour of G with Increasing Loads
  - The HRR model
- Fatigue Crack Growth
- Creep Crack Growth
- The T-Stress Constraint Parameter

How To Calculate the Fracture Parameters with Finite Elements

Introduction
Finite Element Considerations
How To Calculate the K Values
Substitution Methods
Energy Methods
Energy Difference Techniques
Virtual Crack Extension Methods
The J-Integral Method
The Crack Closure/Opening Work Methods
Other Methods
Accuracy
Fracture Parameters for Fatigue
Fracture Parameters for EPFM

Examples of Fracture Mechanics

Introduction
A Look at Near Tip Fields
A Note on VCE Methods
Centre-Cracked Plate in Tension
An Example of Fatigue Crack Growth in Gear Teeth

Concluding Remarks

References

Glossary

Product Details

Order Ref: HT18

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About

T.K. Hellen

First Published - August 2001

Softback, 74 Pages