Hiroshima University Syllabus

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Academic Year 2022Year School/Graduate School School of Engineering
Lecture Code K5117010 Subject Classification Specialized Education
Subject Name 弾塑性力学
Subject Name
Subject Name in
Theory of Elasticity and Plasticity
ヒノ リュウタロウ
Campus Higashi-Hiroshima Semester/Term 3rd-Year,  First Semester,  1Term
Days, Periods, and Classrooms (1T) Tues1-2,Thur5-6:ENG 218
Lesson Style Lecture Lesson Style
(More Details)
Textbook, Blackboard, PowerPoint 
Credits 2.0 Class Hours/Week   Language of Instruction J : Japanese
Course Level 3 : Undergraduate High-Intermediate
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 09 : Mechanical Engineering
Eligible Students Students in the 3rd year of Cluster 1 (Mechanical Systems, Transportation, Material and Energy)
Keywords Elasticity and plasticity (1hr), Stress and strain (3), Stress/strain analysis (6), Elastic strain energy and energy principle (1), Yield criterion (2), Constitutive equations for elasticity and plasticity (3) 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Criterion referenced
Program of Mechanical Systems Engineering
(Abilities and Skills)
・Acquring basis of mechanical system engineering steadily and developing the applied skill.

Program of Material Processing
(Abilities and Skills)
・Acquiring basis of mechanical system, material creation and processing engineering steadily, and being able to apply

Program of Energy Transform Engineering
(Abilities and Skills)
・Acquring basis of mechanical system engineering steadily and developing the applied skill. 
Class Objectives
/Class Outline
Students will learn the mechanical behavior of elasto-plastic material (stress-strain relationship) and its modeling, the fundamental theory of elasticity and plasticity, and several approaches for stress/strain analysis of elasto-plastic material subjected to external force or forced displacement. These are very important matters in designs of mechanical structures and mechanical elements in consideration of strength and stiffness, as well as designs of metal forming process in consideration of material flow and working force. 
Class Schedule Lesson 1: Introduction, stress and strain, fundamental mechanism of elastic/plastic deformation, stress-strain responses in uniaxial tension, compression, and simple shear.
Lesson 2: Numerical model to describe stress-strain response in uniaxial stress state.
Lesson 3: Simple elasto-plastic stress/strain analysis (1) - tension of composite material, loading on truss structure.
Lesson 4: Simple elasto-plastic stress/strain analysis (2) - bending.
Lesson 5: Simple elasto-plastic stress/strain analysis (3) - torsion and thermo-elasto-plastic problem.
Lesson 6: Midterm exam.
Lesson 7: Stress tensor, Cauchy's stress theorem, stress transformation, Stress equilibrium.
Lesson 8: Strain tensor, strain transformation, compatibility condition of strain.
Lesson 9: Elastic constitutive equation, boundary conditions, Saint-Venant's principle.
Lesson 10: Plane stress and plane strain conditions, Airy stress function.
Lesson 11: Elasticity problems in polar coordinates system, internally pressurized cylinder, stress concentration of plate with a circular hole.
Lesson 12: Strain energy, principle of virtual work, principle of minimum potential energy.
Lesson 13: Yield criterion under multi-axial stress state and yield locus.
Lesson 14: Flow theory (elasto-plastic constitutive equation).
Lesson 15: Expression of work hardening, strain-path dependence of work hardening.

lesson16: Final exam 
Textbook: "Introduction of Theory of Elasto-plasticity"
by Fusahito Yoshida, Kyoritsu Pub. Co. Ltd., (1997) ISBN4-320-08114-5 
PC or AV used in
(More Details) Textbook, Blackboard, PowerPoint
Learning techniques to be incorporated  
Suggestions on
Preparation and
Lessons 1 and 2: Preparation and review by textbook (sections 0.1.2, 1.1, 1.2, 1.3, 8.1, and 8.2) and practice problems.
Lesson 3: Preparation and review by textbook (sections 1.4A, 1.4B, 9.1, and 9.2) and practice problems.
Lesson 4: Preparation and review by textbook (sections 1.4C and 9.3) and practice problems.
Lesson 5: Preparation and review by textbook (sections 1.4D, 1.4F, 9.4, and 9.5) and practice problems.
Lesson 7: Preparation and review by textbook (sections 2.1 and 3.1A) and practice problems.
Lesson 8: Preparation and review by textbook (sections 2.2 and 3.1B) and practice problems.
Lesson 9: Preparation and review by textbook (sections 3.1C and 3.2) and practice problems.
Lesson 10: Preparation and review by textbook (sections 3.4 and 3.5) and practice problems.
Lesson 11: Preparation and review by textbook (section 1.4E and chapter 4) and practice problems.
Lesson 12: Preparation and review by textbook (chapter 5) and practice problems.
Lesson 13: Preparation and review by textbook (chapter 10) and practice problems.
Lesson 14: Preparation and review by textbook (sections 11.1 and 11.2) and practice problems.
Lesson 15: Preparation and review by textbook (section 11.3) and practice problems. 
Requirements Requirements: Mechanics of Material I and II are theoretical foundations of this course. 
Grading Method The proportion of grading in each task: practice in class (20%), midterm exam (30%) and final exam (50%).
A minimum of 60% scores in total is required to pass the exam. 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. 
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