2020 Deformation and Strength of Solids

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Academic unit or major
Graduate major in Materials Science and Engineering
Onaka Susumu  Terada Yoshihiro 
Course component(s)
Mode of instruction
Day/Period(Room No.)
Mon1-2(J234)  Thr1-2(J234)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
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Course description and aims

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.

Student learning outcomes

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.


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

Competencies that will be developed

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/Required learning

  Course schedule Required learning
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 Ideal strength of perfect crystals and stress-strain relations of solids Evaluation of ideal strength and understanding of stress-strain relations
Class 9 Plastic deformation of single crystals and work hardening Motion of dislocations and plastic deformation of crystals
Class 10 Plastic deformation of polycrystals and effects of grain boundaries on strength Relationship between motion of dislocations and grain boundaries
Class 11 Strengthening mechanisms of materials Solid-solution strengthening, precipitate strengthening, dispersion strengthening, work hardening, strengthening by grain refinement
Class 12 Creep and high-temperature deformation Characteristics of plastic deformation at high temperatures
Class 13 Fracture and the classification of modes of fracture Ductile fracture, brittle fracture, relationship between strength ductility
Class 14 Cyclic deformation and fatigue Changes of microstructures caused by cyclic deformation, origin of fatigue


None required.

Reference books, course materials, etc.

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

Assessment criteria and methods

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%.

Related courses

  • MAT.M205 : Fundamentals of Stress and Strain, and Deformation of Metals
  • MAT.M303 : Lattice Defects and Dislocation

Prerequisites (i.e., required knowledge, skills, courses, etc.)

None required.



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