Fracture Mechanics

Course Numbers: 20-MECH-7055; Spring Semester

Instructor: Dr. Yijun Liu, Professor of Mechanical Engineering

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


  1997-2013 Yijun Liu, University of Cincinnati

Last updated April 26, 2013.