Course title
C06704003
Principles of Solidification

 kariya yoshiharu Click to show questionnaire result at 2018

serizawa ai
Course description
Analysis techniques (mathematical theory) to safety design of the structure will be learned. Especially, mathematical theory of elasticity and plasticity in three dimensions will be studied in this lecture.
Purpose of class
Understanding of stress analysis techniques (mathematical theory) to safety design of the structure in three dimensions.
Goals and objectives
  1. Understanding of mathematical theory of elasticity and plasticity
  2. Understanding of the constitutive equations
  3. Understanding of basis of reliability analysis using the finite element method analysis
Language
English
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Guidance and Stochastic basis of reliability engineering Review handouts 190minutes
2. Stress Components in 3 dimensions
（Tensor representation of stress） 		Prepare handouts 190minutes
3. Stress in a given plane Prepare handouts 190minutes
4. Principal Stresses in Three Dimensions Prepare handouts 190minutes
5. Principal Stresses in Two Dimensions
(Calculation of principal stress using Mole's circle) 		Prepare handouts 190minutes
6. Deviator Stress
(Stress causing plastic deformation) 		Prepare handouts 190minutes
7. Stress Invariants and Deviatoric Invariants
(Stress independent of coordinate axis) 		Prepare handouts 190minutes
8. Yield Criterion for Isotropic Material
*How to calculate Yielding in multi axial condition 		Prepare handouts 190minutes
9. Equivalent Stress
(Scalar representation of stress inmulti axial condition) 		Prepare handouts 190minutes
10. Basics of Elastic Constitutive Equations
*Hook's law in three dimensions 		Prepare handouts 190minutes
11. Simplification of Stress-Strain Curves
*Full plastic
*Ramberg-Osgood
*Bilinear hardening law 		Prepare handouts 190minutes
12. Incremental Strain Theory and Prandtl-Reuss Constitutive Equation Prepare handouts 190minutes
13. Basic of finite element analysis
(Stress analysis by matrix calculation) 		Prepare handouts 190minutes
14. Final exam and Commentary Review all handouts 180minutes
15. *
Total. - - 2650minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Practice problem Final exam Total.
1. 10% 20% 30%
2. 15% 20% 35%
3. 15% 20% 35%
Total. 40% 60% -
Evaluation method and criteria
Practice problem 40 points and exercise 60 points.
Textbooks and reference materials
The Mathematical Theory of Plasticity
Prerequisites
Materials physics1 and Materials physics2
Office hours and How to contact professors for questions
  • Wednesday 10:00 - 12:00
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates a basic self-management skills
Active-learning course
About half of the classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicatable
N/A N/A
Last modified : Thu Mar 21 15:06:21 JST 2019