Course Title : Fracture Mechanics

Code 10G017
Course Year Master Course
Term 2nd term
Class day & Period Fri 1st
Location C3-Lecture Room 3
Credits 2
Restriction No Restriction
Lecture Form(s) Lecture
Language Japanese
Instructor Takayuki Kitamura,

Course Description

The basics of the fracture mechanics will be lectured.
Elastic problem, Stress function of a crack, Stress field around a crack tip, Stress intensity factors, Energy release rate, J-integral, Elastic plastic fracture mechanics, Interfacial fracture mechanics etc.
Fracture toughness, Crackings in fatigue, environmental fatigue and creep-fatigue etc.


Mini-reports will be evaluated.

Course Goals

The objective of this lecture is to master the basic knowledge of the fracture mechanics, and to be able to discuss about material strength on the basis of the knowledge.

Course Topics

Theme Class number of times Description
Introduction 2 Introduction
Examples of fracture in real components
Deformation and fracture
Stress concentration and singular stress field
Basics of solid mechanics
Linear fracture mechanics 3 Mechanics of cracked body under linear elasticity
Singular stress field near a crack tip, Stress intensity factor, Energy release rate, J-integral, Small scale yielding
Interfacial fracture mechnics in dissimilar materials, Stress field near an interface edge, Stress field near an interfacial crack
Nonlinear fracture mechanics 2 Fracture mechanics in non-linear elastic solid
HRR singular field, J-integral, creep
Stress field near an interface edge
farcture phenomenon and mechanics 3 Application of fracture mechanics to fracture toughness
Application of fracture mechanics to fatigue cracking
Application of fracture mechanics to environmental cracking
Application of fracture mechanics to fatigue cracking at high temperatures
fracture mechanics on growth of small cracks 1 Growth of physicall small crack
Growth of microstrucually small crack
Smakk crack and cavity in creep 1 Cavity growth by diffusion creep
Difference of stress filed between crack and cavity
Fracture nanomechanics 1 Research works on fracture mechanics in nanometer scale
Fracture in atomic scale 1 Research works on fracture in atomic scale
Summary 1 Discussion and report


The teacher provide articles for this lecture.



The traditional material strength and the linear elastic mechanics should be learned before taking this lecture.

Independent Study Outside of Class

Web Sites

Additional Information