# AAE 65400: Fracture Mechanics

Format: 3 lectures per week

Credits: 3

Contact hours: 3

Instructor: Professor Vikas Tomar

Text: Fracture Mechanics: Fundamentals and Applications, 3rd edition, Anderson, 2005

Status:

Offered: Spring

Course Description:  The objective of this course is to provide students with an introduction to the mechanics of fracture of brittle and ductile materials. Lectures will focus on the basics of linear-elastic fracture mechanics (LEFM) and elastic-plastic fracture mechanics (EPFM) including the J-Integral. Time dependent fracture including creep and fatigue crack growth will be covered. Methods to experimental determine fracture properties (ASTM standards) will be introduced.

Pre-requisite: AAE 55300 or equivalent

Necessary Background: Linear Algebra, Elasticity, Differential and Integral Calculus

Co-requisite: None

Assessment Method:

• Homework
• Exams
• Final project

Course Topics:  Basic fracture mechanics, atomic view of fracture, Griffith energy criterion, energy release rate R and driving force curves, stress analysis, crack tip plasticity, mixed mode fracture, crack tip opening displacement, J Integral, J-CTOD relationships, crack growth resistance curves, J controlled fracture, dynamic fracture, rapid crack propagation/arrest, creep crack growth, ductile/brittle failure, intergranular fracture, failure in polymers, fracture in ceramics, experimental fracture testing methods, elastic-plastic testing methods, dynamic testing, fracture testing of polymers, testing of composite and ceramics, stress corrosion cracking, hydrogen embrittlement.

Learning Objective:

At the end of course the students will have fundamental understanding of the following: Introduction to the mechanics of fracture of brittle and ductile materials. Linear elastic fracture mechanics; elastic-plastic fracture; fracture testing; numerical methods; composite materials; creep and fatigue fracture.

Student Learning Outcomes:  On completing this course, the student shall be able to: 1. Interpret ASTM tests for fracture toughness 2. Run basic finite element analyses for crack propagation 3. Understand stress intensity factor, J-Integral, CTOD, R-Curves, Energy release rate related concepts 4. Understand fracture mechanisms in different material types and at different loading rates 5. Apply fundamental understanding of concepts to basic engineering problems

Revision History: Revised Fall 2016

Prepared by: Prof. Vikas Tomar