K5117010 Theory of Elasticity and Plasticity

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School School of Engineering

Lecture Code K5117010 Subject Classification Specialized Education

Subject Name 弾塑性力学

Subject Name
（Katakana）ダンソセイリキガク

Subject Name in
English Theory of Elasticity and Plasticity

Instructor HINO RYUUTAROU

Instructor
(Katakana) 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
Program
(Applicable only to targeted subjects for undergraduate students)
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) 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

Text/Reference
Books,etc. Textbook: "Introduction of Theory of Elasto-plasticity"
by Fusahito Yoshida, Kyoritsu Pub. Co. Ltd., (1997) ISBN4-320-08114-5

PC or AV used in
Class,etc. 　

(More Details) Textbook, Blackboard, PowerPoint
PC-projector

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review 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

Message

Other

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.

Academic Year	2024Year	School/Graduate School	School of Engineering
Lecture Code	K5117010	Subject Classification	Specialized Education
Subject Name	弾塑性力学
Subject Name （Katakana）	ダンソセイリキガク
Subject Name in English	Theory of Elasticity and Plasticity
Instructor	HINO RYUUTAROU
Instructor (Katakana)	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 Program (Applicable only to targeted subjects for undergraduate students)
Criterion referenced Evaluation (Applicable only to targeted subjects for undergraduate students)	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
Text/Reference Books,etc.	Textbook: "Introduction of Theory of Elasto-plasticity" by Fusahito Yoshida, Kyoritsu Pub. Co. Ltd., (1997) ISBN4-320-08114-5
PC or AV used in Class,etc.
(More Details)	Textbook, Blackboard, PowerPoint PC-projector
Learning techniques to be incorporated
Suggestions on Preparation and Review	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
Message
Other
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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