Materials is an extremely important in machical engineering, and the development of materials is necessary to realize innovative
technologies. One of the methods of material development is materials design based on mechanics of materials by compositing
materials and adding periodic structures to the inside of the materials. This method enables the development of new materials
with mechanical functions that cannot be achieved with a single homogeneous material. Fiber-reinforced composites, active
materials, and mechanical metamaterials are typical examples of materials developed by materials design.
In this lecture, the fundamentals of elasticity and plasticity are explained in order to design new materials based on the mechanics of materials. Next, the thories for designing fiber-reinforced composites: law of mixture, anisotropic material characteristics and fracture laws, and lamination theory, are explained. Then, the mechanics for active materials and metamechanical materials are explained.
In this lecture, the fundamentals of elasticity and plasticity are explained in order to design new materials based on the mechanics of materials. Next, the thories for designing fiber-reinforced composites: law of mixture, anisotropic material characteristics and fracture laws, and lamination theory, are explained. Then, the mechanics for active materials and metamechanical materials are explained.
The purpose of this course are to understand the theory of elasticity and plasticity for materials design, and to understand
the basic concepts for the design of fiber-reinforced composites and the smart materials with mechanical functions.
- Understanding the concept of mechanics of materials and elasticity.
- Understanding the concept of plasticity and the failure rule based on the plasticity.
- Understanding the mechanical design of composite materials based on mechanics of materials.
| Midterm exam | Final exam | Report assignment | Total. | |
|---|---|---|---|---|
| 1. | 20% | 10% | 5% | 35% |
| 2. | 20% | 10% | 5% | 35% |
| 3. | 20% | 10% | 30% | |
| Total. | 40% | 40% | 20% | - |
Final grade is determined by two exams and report assignment as following allocation; Exam 1 is 40%, Exam 2 is 40%, and report
assignment is 20%.
At least 60 points out of 100 is needed to pass.
At least 60 points out of 100 is needed to pass.
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Introduction Concept of material design |
Review of the class. | 190minutes |
| 2. | Elasticity (1) Stress tensor, strain tensor, coordinate transfromation of tensor, deviation stress and strain |
Review of the class. | 190minutes |
| 3. | Elasticity (2) Constitutive equation fo elasticity, plane stress and plane strain |
Review of the class. | 190minutes |
| 4. | Plasticity (1) True stress and true strain, modeling of elasto-plastic behavior |
Review of the class. | 190minutes |
| 5. | Plasticity (2) Yield surface and yield condition |
Review of the class. | 190minutes |
| 6. | Examination 1 and the review | Review of the class. | 190minutes |
| 7. | Design of composite materials (1) Rule of mixture, constitutive equation of unidirectional reinforced composite |
Review of the class. | 190minutes |
| 8. | Design of composite materials (2) Fiber orientation, coordinate transformation of stiffness matrix |
Review of the class. | 190minutes |
| 9. | Design of composite materials (3) Lamination theory |
Review of the class. | 190minutes |
| 10. | Design of composite materials (4) Fracture of anisotropic material, fracture of unidirectional reinforced composite |
Review of the class. | 190minutes |
| 11. | Examination 2 and review | Review of the class. | 190minutes |
| 12. | Advanced composite materials (1) Design of active composite materials |
Review of the class. | 190minutes |
| 13. | Advanced composite materials (2) Design of mechanical metamaterials |
Review of the class. | 190minutes |
| 14. | Advanced composite materials (3) Recent study for advanced composite materials, report assignment |
Review of the class. | 190minutes |
| Total. | - | - | 2660minutes |
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class |
References, for example, "Theory of Elasticity" S P Timoshenko
K. Watanabe, “Zairyo rikigaku”, Baifukan Co., Ltd., Y.Hatamura, “Jissai no sekkei”, Nikkan Kogyo Shimbun Ltd. and Y. Hagiuwara, “Yokuwakaru Kikougaku”, Ohmsha Ltd.
K. Watanabe, “Zairyo rikigaku”, Baifukan Co., Ltd., Y.Hatamura, “Jissai no sekkei”, Nikkan Kogyo Shimbun Ltd. and Y. Hagiuwara, “Yokuwakaru Kikougaku”, Ohmsha Ltd.
- Course that cultivates a basic problem-solving skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | N/A |
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
- 12.RESPONSIBLE CONSUMPTION & PRODUCTION
Last modified : Thu Mar 06 10:13:15 JST 2025