Fracture Mechanics

Introducing the Course

Course Announcement

Course Syllabus and References

Syllabus;   Reference Books

Contents of the Lectures

Chapter 1. Introduction

• Lecture 1. Review of Engineering Failure Analysis
• Lecture 2. Introduction to Fracture Analysis
• Lecture 3. The Energy Criterion and Stress Intensity Concept
• Lecture 4. Discussions
• Homework #1

Chapter 2. Linear Elastic Fracture Mechanics

• Lecture 1. Theoretical Cohesive Strength of Materials (An Atomic View)
• Lecture 2. Stress Concentration Effect of Flaws and Energy Balance
• Lecture 3. Energy Release Rate, Instability and R Curve
• Lecture 4. Stress Analysis of Cracks - Review of Linear Elasticity
• Lecture 5. A Stress Concentration Problem
• Lecture 6. Crack Tip Stress Fields
• Lecture 7. Complex Stress Functions
• Lecture 8. Stress Intensity Factors and K-Dominated Field
• Lecture 9. Crack Tip Plastic Zone
• Homework #2
• Homework #3
• Project #1

Chapter 3. Computational Fracture Mechanics 

• Lecture 1. Numerical Methods and Approaches in Fracture Mechanics
• Lecture 2. Quarter-Point Elements
• Lecture 3. Discretization Considerations
• Project #2

Chapter 4. Elastic-Plastic Fracture Mechanics

• Lecture 1. Nonlinear Elastic Fracture Mechanics and the J Contour Integral 
• Lecture 2. Path-Independence of the J Integral; An Example
• Lecture 3. Crack-Tip Opening Displacement (CTOD) 
• Homework #4

Chapter 5. Other (Advanced) Topics

• Lecture 1. Fatigue Crack Propagation
• Lecture 2. Fracture Mechanism (Material Considerations)
• Lecture 3. Fracture in Composite Materials
• Final Project
• Final Presentation

Contact Info

E-mail:   Yijun.Liu@uc.edu
Tel.:         (513) 556-4607 (Voice),    (513) 556-3390 (Fax)
S-mail:    Mechanical Engineering, University of Cincinnati, P.O. Box 210072, Cincinnati, OH 45221-0072