授業の目的 【日本語】 Goals of the Course(JPN) | | |
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授業の目的 【英語】 Goals of the Course | | The purpose of this course is to build a rigorous foundation in solid mechanics for engineering analysis and simulation. The goals are for students to be able to (1) use tensor fundamentals to describe stress, strain, and kinematics, (2) derive and explain governing equations and boundary conditions and obtain basic analytical solutions, and (3) apply constitutive models and energy/virtual-work principles to formulate and use the finite element method, including hands-on FEM practice, with an introduction to finite deformation and nonlinear constitutive models.
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到達目標 【日本語】 Objectives of the Course(JPN)) | | |
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到達目標 【英語】 Objectives of the Course | | By the end of the course, students should be able to
1. use tensor fundamentals to describe deformation, strain, and stress in solid continua.
2. derive and explain governing (equilibrium) equations and boundary conditions, and obtain basic analytical solutions for standard problems.
3. apply constitutive models (including an introduction to nonlinear models) and energy/virtual-work principles to formulate solid mechanics problems.
4. construct and use FEM formulations (weak form, discretization) and perform hands-on finite element analyses, including introductory finite deformation cases.
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バックグラウンドとなる科目【日本語】 Prerequisite Subjects | | |
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バックグラウンドとなる科目【英語】 Prerequisite Subjects | | | Mechanics of Materials with Exercises, Fundamentals of Physics (desirable) |
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授業の内容【日本語】 Course Content | | |
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授業の内容【英語】 Course Content | | This class consists of the following contents:
1. Introduction to solid mechanics and continuum description
2. Tensor fundamentals (vectors, tensors, index notation, tensor operations)
3. Kinematics of deformation: displacement, strain measures, and compatibility
4. Stress measures and balance laws: traction, Cauchy stress, equilibrium and boundary conditions
5. Constitutive models: linear elasticity and an introduction to nonlinear constitutive behavior
6. Governing equations and analytical solutions for standard elasticity problems
7. Energy principles and virtual work; weak form of boundary-value problems
8. Finite element method: discretization, element formulation, and implementation workflow
9. Hands-on FEM practice (numerical exercises and result interpretation)
10. Introduction to finite deformation cases
Students are expected to prepare and review each lecture by reading relevant textbooks outside the course hours.
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成績評価の方法と基準【日本語】 Course Evaluation Method and Criteria | | |
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成績評価の方法と基準【英語】 Course Evaluation Method and Criteria | | Grades will be based on the final presentation (including submission of presentation materials) and attendance.
Final Presentation (100%): 15-minute presentation. Students must submit the presentation slides/materials.
Oral Examination (Q&A): 5-minute Q&A following the presentation, evaluated as an oral exam.
Attendance/Participation (bonus up to +15 pts): +10 for attendance, +5 for in-class problem solving.
Passing requirement: C− or above (≥60/100).
Letter grades (Perfect Score = 100): A+ 100–95, A 94–80, B 79–70, C 69–65, C− 64–60, F 59–0.
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履修条件・注意事項【日本語】 Course Prerequisites / Notes | | |
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履修条件・注意事項【英語】 Course Prerequisites / Notes | | | No requirements for attending this course |
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教科書【日本語】 Textbook | | |
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教科書【英語】 Textbook | | | Timoshenko, S. and Goodier, J. N., “Theory of Elasticity,” McGraw-Hill Publishing Company; International ed of 3rd revised ed (1970/10) |
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参考書【日本語】 Reference Book | | |
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参考書【英語】 Reference Book | | Fung, Y. C. and Tong, P., “Classical and Computational Solid Mechanics (Advanced Series in Engineering Science),” World Scientific Pub Co Inc (2001/10)
Sadd, M. H., “Elasticity, Theory, Applications, and Numerics” Elsevier, 2nd ed (2009) |
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授業時間外学習の指示【日本語】 Self-directed Learning Outside Course Hours | | |
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授業時間外学習の指示【英語】 Self-directed Learning Outside Course Hours | | |
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使用言語【英語】 Language used | | |
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使用言語【日本語】 Language used | | |
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授業開講形態等【日本語】 Lecture format, etc. | | |
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授業開講形態等【英語】 Lecture format, etc. | | |
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遠隔授業(オンデマンド型)で行う場合の追加措置【日本語】 Additional measures for remote class (on-demand class) | | |
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遠隔授業(オンデマンド型)で行う場合の追加措置【英語】 Additional measures for remote class (on-demand class) | | |
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実務経験のある教員等による授業科目(大学等における修学の支援に関する法律施行規則に基づくもの)<実務経験について> Courses taught by Instructors with practical experience(Practical experience) | | |
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実務経験のある教員等による授業科目(大学等における修学の支援に関する法律施行規則に基づくもの)<実務経験と本授業との関連性> Courses taught by Instructors with practical experience(Relevance of the practical experience to this course) | | |
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