Advanced Course on Interdisciplinary Approach to Strength and Fracture of Materials

ISOGAI, Takeshi
  Elective  2 credits
【Doctor's program・full year】
19-3-1038-2327

1.
Outline
In order to understand the problems of fracture components and structures, the interdisciplinary approach should be employed. It is essential to consider with non-linearly fused the microstructure in atom-nano scale and the influence of macro factors, such as shape and size of the specimens and components.
In this lecture, various approaches for understanding of fracture problems are presented. Different styles of fracture such as plastic yielding, brittle fracture, fatigue failure and creep rupture are discussed from viewpoints covering micro and macro effects. Interactions between different types of fracture are also examined. Moreover, the unified concept on fractures, which pays attention to metal, ceramics, polymers and composite materials, is described. Amongst these materials, the common features and differences of fracture characteristics are explained.

2.
Objectives
The aim of the course is to understand the approach of the strength and the fracture of materials, which unites the micro and macro factors on the fracture of materials. Throughout the lectures, the practical skills to assess the safety or lack thereof of components and structures are studied.

3.
Grading Policy
Students’ participation in class and reports will be evaluated.


4.
Textbook and Reference
Reference :
"Strength and Fracture of Materials (2nd Issue)", Takeo YOKOBORI, Iwanami Shoten (1974) in Japanese
"Strength of Materials and Fractorogy", The 129 Committee on Strength and Fracture of Advanced Materials, Japan Society for the Promotion of Science, Gihodo-Shuppan (1999) in Japaneses

5.
Requirements (Assignments)
- In order to understand basis of the subject, please read related reference books.
- Since there is relationship between "material science" and "mechanics of materials", it is desirable for students to learn these subjects in the undergraduate course and the master course.

6.
Note
7.
Schedule
1. Overview of interdisciplinary approach to strength and fracture of materials:
The diversity of strength and fracture of materials, Comparative study on strength and fracture of materials

2. Macroscopic mechanics on notched body and cracked body 1 :
Linear elastic fracture mechanics

3. Macroscopic mechanics on notched body and cracked body 2 :
Nonlinear fracture mechanics

4. Macroscopic mechanics on notched body and cracked body 3 :
Multi-axial stress distribution in notched body, Stress distribution of notched body in plane strain

5. Combined micro and macro fracture mechanics 1 :
Macroscopic fracture mechanics, Equilibrium distribution of the dislocation group on the same slip line

6. Combined micro and macro fracture mechanics 2:
Mechanics related cracks and dislocation groups, Interaction between cracks and dislocation groups

7. Combined micro and macro fracture mechanics 3:
Combined micro and macro fracture mechanics, Ductile fracture, Brittle fracture

8. Stochastic process theory on strength and fracture of solids 1:
The fundamentals of a stochastic process theory

9. Stochastic process theory on strength and fracture of solids 2:
Stochastic process theory for solid body, transition probability in fracture problem

10. Stochastic process theory on strength and fracture of solids 3:
Application of the theory to fatigue fracture and fatigue crack growth

11. Stochastic process theory on strength and fracture of solids 4:
Application of the theory to creep fracture, time-dependent fracture, Fatigue-creep interaction

12. Rate process theory on plastic flow and fracture of solid 1:
Basic concept of mass transfer theory and rate process theory

13. Rate process theory on plastic flow and fracture of solid 2:
Diffusion in liquid and solids, Diffusion creep

14. Rate process theory on plastic flow and fracture of solid 3:
Application of rate process theory to fracture of materials
15. Concluding remarks

1.
Outline
In order to understand the problems of fracture components and structures, the interdisciplinary approach should be employed. It is essential to consider with non-linearly fused the microstructure in atom-nano scale and the influence of macro factors, such as shape and size of the specimens and components.
In this lecture, various approaches for understanding of fracture problems are presented. Different styles of fracture such as plastic yielding, brittle fracture, fatigue failure and creep rupture are discussed from viewpoints covering micro and macro effects. Interactions between different types of fracture are also examined. Moreover, the unified concept on fractures, which pays attention to metal, ceramics, polymers and composite materials, is described. Amongst these materials, the common features and differences of fracture characteristics are explained.

2.
Objectives
The aim of the course is to understand the approach of the strength and the fracture of materials, which unites the micro and macro factors on the fracture of materials. Throughout the lectures, the practical skills to assess the safety or lack thereof of components and structures are studied.

3.
Grading Policy
Students’ participation in class and reports will be evaluated.


4.
Textbook and Reference
Reference :
"Strength and Fracture of Materials (2nd Issue)", Takeo YOKOBORI, Iwanami Shoten (1974) in Japanese
"Strength of Materials and Fractorogy", The 129 Committee on Strength and Fracture of Advanced Materials, Japan Society for the Promotion of Science, Gihodo-Shuppan (1999) in Japaneses

5.
Requirements (Assignments)
- In order to understand basis of the subject, please read related reference books.
- Since there is relationship between "material science" and "mechanics of materials", it is desirable for students to learn these subjects in the undergraduate course and the master course.

6.
Note
7.
Schedule
1. Overview of interdisciplinary approach to strength and fracture of materials:
The diversity of strength and fracture of materials, Comparative study on strength and fracture of materials

2. Macroscopic mechanics on notched body and cracked body 1 :
Linear elastic fracture mechanics

3. Macroscopic mechanics on notched body and cracked body 2 :
Nonlinear fracture mechanics

4. Macroscopic mechanics on notched body and cracked body 3 :
Multi-axial stress distribution in notched body, Stress distribution of notched body in plane strain

5. Combined micro and macro fracture mechanics 1 :
Macroscopic fracture mechanics, Equilibrium distribution of the dislocation group on the same slip line

6. Combined micro and macro fracture mechanics 2:
Mechanics related cracks and dislocation groups, Interaction between cracks and dislocation groups

7. Combined micro and macro fracture mechanics 3:
Combined micro and macro fracture mechanics, Ductile fracture, Brittle fracture

8. Stochastic process theory on strength and fracture of solids 1:
The fundamentals of a stochastic process theory

9. Stochastic process theory on strength and fracture of solids 2:
Stochastic process theory for solid body, transition probability in fracture problem

10. Stochastic process theory on strength and fracture of solids 3:
Application of the theory to fatigue fracture and fatigue crack growth

11. Stochastic process theory on strength and fracture of solids 4:
Application of the theory to creep fracture, time-dependent fracture, Fatigue-creep interaction

12. Rate process theory on plastic flow and fracture of solid 1:
Basic concept of mass transfer theory and rate process theory

13. Rate process theory on plastic flow and fracture of solid 2:
Diffusion in liquid and solids, Diffusion creep

14. Rate process theory on plastic flow and fracture of solid 3:
Application of rate process theory to fracture of materials
15. Concluding remarks