2024 Faculty Courses School of Materials and Chemical Technology Department of Materials Science and Engineering Graduate major in Materials Science and Engineering

Deformation and Strength of Solids

Academic unit or major: Graduate major in Materials Science and Engineering
Instructor(s): Susumu Onaka / Yoshihiro Terada
Class Format: Lecture (Face-to-face)
Media-enhanced courses: -
Day of week/Period (Classrooms): 1-2 Mon / 1-2 Thu
Class: -
Course Code: MAT.M410
Number of credits: 200
Course offered: 2024
Offered quarter: 2Q
Syllabus updated: Mar 14, 2025
Language: Japanese

Syllabus

Course overview and goals

To accomplish material selection and to develop advanced materials, we must know methods to evaluate deformation and strength of materials quantitatively. The elasticity and the theory of dislocations are respectively academic frameworks to understand elastic and plastic deformation behaviors of crystalline materials.
The first half of this course teaches the elasticity and the theory of dislocations. In the second half of this course, explaining the plastic deformation of crystalline materials and the external force to cause the plastic deformation, we consider mechanical properties of practical materials under various conditions and methods to increase strength of materials. Exercise problems are assigned during both of the first and second halves of the course.

Course description and aims

By completing this course, students will be able to:
1) Understand methods to evaluate deformation and strength of materials quantitatively, various modes of plastic deformation and fracture, characteristic values representing mechanical properties of materials and necessary conditions of desirable structural materials.
2) Understand the elasticity as fundamental techniques to evaluate deformation and strength of solid materials and the theory of dislocations to discuss mechanisms of plastic deformation of materials.

Keywords

elasticity, theory of dislocations, crystal defects, mechanics of dislocations, mechanical properties, strengthening mechanisms, creep, high-temperature deformation.

Competencies

Specialist skills
Intercultural skills
Communication skills
Critical thinking skills
Practical and/or problem-solving skills

Class flow

Exercise problems are assigned during the course. To prepare for class, students should read the course schedule section and check what topics will be covered. Required learning should be completed outside of the classroom for preparation and review purposes.

Course schedule/Objectives

	Course schedule	Objectives
Class 1	Fundamentals of the theory of elasticity	The concept of stress and strain as tensors
Class 2	Definition of stress and strain	Distortion and strain, and traction and stress
Class 3	Exercise problems to understand the theory of elasticity	Coordinate transformation of components of stresses, Hooke's law
Class 4	Dislocations and the Burgers vector	Edge, screw and mix dislocations, definition of the Burgers vector
Class 5	Geometry of dislocations	Plastic deformation due to dislocation movement
Class 6	Mechanics of dislocations	Stresses generated by dislocations, forces on dislocations
Class 7	Exercise problems to understand the theory of dislocations	Summary of the theory of dislocations
Class 8	Tensile test and creep test	Definition of tensile test and creep test
Class 9	Evaluation of strength by tensile test	Young's modulus, yield stress, ultimate tensile strength, ductility, toughness
Class 10	Evaluation of strength by creep test	Creep curve, creep deformation mechanisms
Class 11	Glide and climb of dislocations	Orowan's equation, diffusion and dislocation-climb
Class 12	Strengthening mechanisms of solids	Solid-solution strengthening, precipitation strengthening, dislocation strengthening, grain boundary strengthening
Class 13	Conception of internal stress	Internal stress, effective stress, strain-transient stress-dip test
Class 14	Exercise problems to understand the strengthening mechanisms of solids	Summary of the strengthening mechanisms of solids

Study advice (preparation and review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.

Textbook(s)

None required.

Reference books, course materials, etc.

M. Kato, S. Kumai and S. Onaka: Zairyo Kyoudo Gaku, Asakura

Evaluation methods and criteria

Students' knowledge on the elasticity, slip deformation and the theory of dislocations, various mechanical properties of metallic materials, and their ability to apply them to problems will be assessed. Exams 70%, exercise problems 30%.