Materials and Plasticity

Numbering Code U-ENG23 33180 LJ75
U-ENG23 33180 LJ71
Year/Term 2022 ・ Second semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Tue.2
Instructor name HAMA TAKAYUKI (Graduate School of Energy Science Professor)
MABUCHI MAMORU (Graduate School of Energy Science Professor)
Outline and Purpose of the Course Understanding the fundamentals of mechanics and dislocation theory related to plastic materials, and learning the basic knowledge indispensable for understanding the forming and deformation of metals.
Course Goals Ability to explain the basic aspects of plastic constitutive equations and dislocation theory, which are the basis of analyzing the deformation behavior of materials in various plastic forming processes.
Schedule and Contents [1st Class]
Introduction (summary of plasticity and plastic forming, concept of plasticity, history of plastic forming), definitions of stress and strain.

[2nd class]
Stress-strain curves (work-hardening curves) in metals, modeling of work-hardening curves, plastic deformation behavior in tensile deformation of sheet metals, and condition of onset of necking.

[3rd - 4th class]
・Yield functions: Plastic deformation in multiaxial stress condition, equivalent stress, equivalent plastic strain, von Mises yield criterion, Tresca yield criterion, comparison with experiments.
・Plastic constitutive equations (strain increment theory): Levy-Mises equations, Prandtl-Reuss equations, mathematical properties of yield functions.

[5th - 7th class]
Elementary analysis of plastic deformations: Plane strain compressive deformation of blocks, uniform bending of sheets, etc.
Reports, quizzes, exercises, etc. are assigned for each item in order to verify attainment of learning.


Fundamentals of Dislocation Theory (1); 4 classes; edge dislocations; screw dislocations; mixed dislocations; dislocation density; dislocation lines; Burgers vectors; Peierls potential; kinks; jogs; dislocations and lattice defects; interaction of dislocations

Fundamentals of Dislocation Theory (2); 3 classes; dislocation behavior such as crossing, combination, decomposition, reaction and generation; work hardening from dislocation theory; strengthening mechanism (solid solution strengthening, precipitation strengthening, grain refinement strengthening); thermal activation process and non-thermal activation process of dislocation motion.
Reports etc. shall be assigned for each item to verify attainment of learning.


Verification of attainment, 1 class, verify understanding of lecture contents by showing answers, etc. after regular testing (feedback class).
Evaluation Methods and Policy Evaluation based on the results of grades, reports, and final exams.
Course Requirements Nothing in particular
Study outside of Class (preparation and review) Instructions are given in class.
Textbooks Textbooks/References Additional handouts will be distributed as necessary.
References, etc. Fusahito Yoshida, 『弾塑性力学の基礎』 (Kyoritsu Publishing, 1997), The Japan Society for Technology of Plasticity, ed., 『例題で学ぶはじめての塑性力学 (Morikita Publishing, 2009), Professor Moriya Oyane, 『新編 塑性加工学』 (Yokendo) ISBN:4842501138
PAGE TOP