Learn the fundamentals of materials mechanics using mechanical properties, which is an important property in the physical
properties of materials. Also, understand the theoretical background of the mechanical properties of materials from the viewpoint
of material engineering such as crystal structure. Learn basic skills to study material engineering at university.
Understand the definitions of stress, strain, elastic modulus, Poisson's ratio and how to use them.
Understand the basic strength calculation method under axial force condition using the linear mechanical properties (elastic modulus and Poisson's ratio) of the material.
Understand the theoretical background of the elastic properties of materials from the viewpoint of material engineering (interatomic bonding, crystal structure).
Understand the basic strength calculation method under axial force condition using the linear mechanical properties (elastic modulus and Poisson's ratio) of the material.
Understand the theoretical background of the elastic properties of materials from the viewpoint of material engineering (interatomic bonding, crystal structure).
- Understand the definitions of stress and strain, and the elastic properties of materials.
- Calculate material strength of simple geometries subjected to axial forces using stress, strain, and modulus of elasticity, and select optimal materials for simple structures.
- Understand the plastic properties of materials and their physical significance from a crystallographic point of view, and be able to calculate the theoretical strength at which plastic deformation begins.
| Exercise | Final report | Total. | |
|---|---|---|---|
| 1. | 10% | 10% | 20% |
| 2. | 15% | 25% | 40% |
| 3. | 15% | 25% | 40% |
| Total. | 40% | 60% | - |
The total of 40 points for the exercises in class and 60 points for the final assignment is 100 points, of which 60 points
or more is required to pass the course.
The standard score of 60 points is the ability to solve the following problems.
Definition of stress and strain
Hooke's law
Static problems of axial stress
Calculation of bending and buckling stresses of beams
Calculation of principal stresses
Yield conditions
Fundamentals of plastic deformation mechanisms
Calculation of stress and strain after yielding in 3-dimensional space
The standard score of 60 points is the ability to solve the following problems.
Definition of stress and strain
Hooke's law
Static problems of axial stress
Calculation of bending and buckling stresses of beams
Calculation of principal stresses
Yield conditions
Fundamentals of plastic deformation mechanisms
Calculation of stress and strain after yielding in 3-dimensional space
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | ・ What are physical properties of materials? ・ Classify industrial materials by chemical bond. ・ Classification of characteristics of industrial materials required for product design. |
Lead syllabus | 190minutes |
| 2. | Parameters required for strength calculation ・ Definition of stress (axial stress, shear stress) ・ Definition of strain (axial strain, shear strain) ・ Example of stress state in industrial products ・ Examples of stress and strain |
Prepare handouts | 95minutes |
| Review the definitions of stress and strain. | 95minutes | ||
| 3. | Elastic properties ・ Hook's law (Relation between stress and strain in elastic deformation) ・ Elastic modulus (Young's modulus, rigidity modulus, bulk modulus) ・ Poisson's ratio ・ Example of Hooke's law |
Prepare handouts | 95minutes |
| Review how to calculate stress and strain using elastic modulus and Hooke's law. | 95minutes | ||
| 4. | Example of axial stress using elastic properties ・ Static problem (dynamic calculation by balance of force) ・ Instability problem ・ Example of axial stress calculation |
Prepare handouts | 95minutes |
| Review the example of axial stress calculation. | 95minutes | ||
| 5. | Physical basis of elastic modulus in crystalline materials ・ Relationship between interatomic bond and elastic modulus ・ Atomic packing (crystal structure) and elastic modulus ・ Example of the relationship between atomic bond and elastic modulus |
Prepare handouts | 95minutes |
| Review the example of the relationship between atomic bonding and elastic modulus | 95minutes | ||
| 6. | Elastic properties of polymers and composites ・ Elastic modulus of polymers and glass transition temperature ・ Elastic modulus of composite material ・ Example of calculating elastic modulus of composite material |
Prepare handouts | 95minutes |
| Review the example of elastic modulus calculation for composite materials. | 95minutes | ||
| 7. | The following topics will be covered in this lecture, using stress and strain modulus of elasticity to calculate the strength
of beams, which are important members in structures. ・Types of beams ・Bending moment and sectional secondary moment ・Stress and deflection calculation of beams ・Examples of bending of beams |
Prepare handouts | 95minutes |
| Review the examples in the handouts. | 95minutes | ||
| 8. | This course teaches the theory of how to derive the second moment of section, which is an important parameter in beam strength
calculations, and how to theoretically select materials for designing strong and light beams. ・Derivation of the cross-sectional second moment for arbitrary shapes. ・Material selection method using strength calculation of beams ・Material Selection Method Using Strength Calculation of Beams |
Prepare handouts | 95minutes |
| Review the examples in the handouts. | 95minutes | ||
| 9. | This course provides an understanding of the buckling phenomenon that is a problem in the strength analysis of columns, which
are an important structural member along with beams, and strength calculations to prevent this phenomenon. ・What is buckling? ・Secondary radius and slenderness ratio of cross section ・Euler's buckling theory and calculation of buckling stress ・Examples of buckling |
Prepare handouts | 95minutes |
| Review the examples in the handouts. | 95minutes | ||
| 10. | To understand the concept of stress and strain in three-dimensional space and learn the basics of stress calculation in multiaxial
stress field, which is a problem in actual structures. ・Stress in three-dimensional space ・Principal stress and principal strain ・Principal stress in two-dimensional space (braid circle) |
Prepare handouts | 95minutes |
| Review the examples in the handouts. | |||
| 11. | The limits of elastic properties of materials and the deformation behavior of materials after that (inelastic properties of
materials) are studied. ・Yield and plastic deformation ・Stress-strain curve ・Relationship between plastic deformation and strain hardening ・Yield in three dimensions |
Prepare handouts | 95minutes |
| Review the examples in the handouts. | 95minutes | ||
| 12. | To learn about inelastic properties of materials from the viewpoint of microstructure and to be able to derive yield stress,
which is the limit value of elastic properties, by calculation. ・Dislocation and Yield in Crystals ・Yield strength (critical decomposition shear stress) in single crystal ・Yield strength in polycrystals (Taylor factor) |
Prepare handouts | 95minutes |
| Review the examples in the handouts. | 95minutes | ||
| 13. | The students will learn about strengthening methods for yield strength, and furthermore, design of industrial products determined
by yield will be discussed using case studies. ・Strengthening Methods for Materials ・Solid solution strengthening ・Precipitation strengthening ・Case study of design determined by yield |
Prepare handouts | 95minutes |
| Review the examples in the handouts. | 95minutes | ||
| 14. | Students will learn how to calculate stress and strain after yielding in 3-dimensional space using constitutive equations,
and deepen their understanding of the concept of constitutive equations by using a case study of plastic deformation. ・Equivalent stress ・Strain increment theory ・Royce's constitutive equation ・Equivalent plastic strain ・Forging analysis |
Prepare handouts | 95minutes |
| Review the examples in the handouts. | 95minutes | ||
| Total. | - | - | 2565minutes |
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class |
- Course that cultivates a basic self-management skills
- Course that cultivates a basic problem-solving skills
- Course that cultivates an ability for utilizing knowledge
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| Applicable | The course is taught so that students can understand the mechanics of materials from the viewpoint of using it in the design of structures, making use of practical experience in strength calculations related to the design and manufacture of ships and bridges. |
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Last modified : Sat Mar 08 04:27:38 JST 2025