Course title
4M5450001
Solid Mechanics

sakaue kenichi Click to show questionnaire result at 2019
Course content
This course deals with elasticity for the basis of mechanics of materials, the theory of viscoelasticity, fracture mechanics and strength of materials.
Purpose of class
The purpose of this class is comprehensive understanding the advanced knowledge of mechanics of materials basis on continuum mechanics.
Goals and objectives
  1. Understanding the basic concept of strain in large deformation .
  2. Understanding the basic concept of stress.
  3. Understand the basic theories of elasticity, viscoelasticity, and fracture mechanics.
Language
Japanese
Class schedule

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. Elasticity 1: Anisotropic elasticity, Isotropic elasticity, Relationship between elastic moduli Review the lectures 190minutes
7. Elasticity 2: Three-dimensional elasticity, Elastic wave, Two-dimensional elasticity Review the lectures 190minutes
8. Elasticity 3: Stress function, Analysis for semi-infinite crack Review the lectures 190minutes
9. Fracture mechanics 1: Stress field around a crack tip, Stress intensity factor, Energy release rate Review the lectures 190minutes
10. Fracture mechanics 2: Small scale yielding, J-integral, Cohesive model Review the lectures 190minutes
11. Viscoelasticity 1: Mechanical model for viscoelastic media, Viscoelastic constitutive equation, Viscoelastic characteristics Review the lectures 190minutes
12. Viscoelasticity 2: Response of viscoelastic body for various mechanical input. Review the lectures 190minutes
13. Viscoelasticity 3: Correspondence principle, Rheology Review the lectures 190minutes
14. Final exam and review Review the lectures 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Final exam report Total.
1. 25% 10% 35%
2. 25% 5% 30%
3. 30% 5% 35%
Total. 80% 20% -
Evaluation method and criteria
Final grade is determined by reports 20% and final exam 80%.
At least 60 points out of 100 is needed to pass.
Textbooks and reference materials
S.P. Timoshenko and J.N. Goodier, Theory of Elasticity 3rd edition.
Prerequisites
Basic knowledge of mechanics of materials.
Office hours and How to contact professors for questions
  • From 16:00 to 17:00 on Thursday
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates a basic problem-solving skills
Active-learning course
N/A
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
  • 12.RESPONSIBLE CONSUMPTION & PRODUCTION
Last modified : Wed May 12 04:41:58 JST 2021