The purpose of this course is the understanding of the theoretical framework relate to the mechanics of materials: continuum
mechanics, elasticity, fracture mechanics, and viscoelasticity. The section on continuum mechanics explain strain tensor and
stress tensor for large deformed materials. The section on the three-dimensional and two-dimensional elasticity explain the
theoretical method to analyze a crack tip stress fields by using complex functions. The section on fracture mechanics explain
the crack tip stress solution from the viewpoint of practical study and theoretical application. The section of viscoelasticity
explain theory for the mechanical behavior of time-dependent materials such as polymers.
The purpose of this course is understanding of the theoretical systems and the mathematical expression for continuum mechanics,
elasticity theory, and fracture mechanics.
- Understanding the basic concept of strain and stress in large deformation .
- Understand the basic theories of elasticity and the stress analysis using complex functions.
- Applying theories of viscoelasticity and fracture mechanics to explain actual phenomena.
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1． | Applied mathematics, Tensor analysis | Review the lectures | 190minutes |
| 2． | Strain 1: Deformation gradient tensor, Cauchy-Green deformation tensor | Review the lectures | 190minutes |
| 3． | Strain concept 2: Strain tensor, Compatibility equations | Review the lectures | 190minutes |
| 4． | Stress 1: Cauchy stress, Equilibrium of stress, Principal stress, Deviator stress | Review the lectures | 190minutes |
| 5． | Stress 2: 1st and 2nd Piola-Kirchhoff stress, Principle of virtual work | Review the lectures | 190minutes |
| 6． | Stress 3: Principle of virtual work | Review the lectures | 190minutes |
| 7． | Elasticity 1: Anisotropic elasticity, Isotropic elasticity, Relationship between elastic moduli | Review the lectures | 190minutes |
| 8． | Elasticity 2: Two-dimensional elasticity, stress function | Review the lectures | 190minutes |
| 9． | Elasticity 3: Analysis for semi-infinite crack | Review the lectures | 190minutes |
| 10． | Fracture mechanics 1: Stress field around a crack tip, Stress intensity factor, Energy release rate | Review the lectures | 190minutes |
| 11． | Fracture mechanics 2: Small scale yielding, J-integral, Cohesive model | Review the lectures | 190minutes |
| 12． | Viscoelasticity 1: Mechanical model for viscoelastic media, Viscoelastic constitutive equation, Response of viscoelastic body for various mechanical input. | Review the lectures | 190minutes |
| 13． | Viscoelasticity 2: Correspondence principle, Rheology | Review the lectures | 190minutes |
| 14． | Final exam and review | Review the lectures | 190minutes |
| Total. | - | - | 2660minutes |
| Final exam | report | Total. | |
|---|---|---|---|
| 1. | 25% | 10% | 35% |
| 2. | 25% | 5% | 30% |
| 3. | 30% | 5% | 35% |
| Total. | 80% | 20% | - |
Final grade is determined by reports 20% and final exam 80%.
At least 60 points out of 100 is needed to pass.
At least 60 points out of 100 is needed to pass.
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class |
S.P. Timoshenko and J.N. Goodier, Theory of Elasticity 3rd edition.
Linear algebra, partial differentiation, differential equation, and mechanics of materials.
- Course that cultivates a basic problem-solving skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A |
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
- 12.RESPONSIBLE CONSUMPTION & PRODUCTION
Last modified : Sat Sep 09 05:53:32 JST 2023