Course title
6M008800
Continuum Mechanics

 watanabe dai Click to show questionnaire result at 2018
Course content
It is natural to design something using a 3D-CAD as well as to conduct structural analyses using a FEM software for mechanical engineers. However, It's meaningless unless you evaluate the FEM result correctly. Therefore, you need to learn how to evaluate the result correctly.
The aim of this lecture is to study continuum mechanics. First, you study about the state of multi-stress through to the Cauchy stress and stress coordinate transform. And then, you understand stress invariants and von Mises equivalent stress. In addition, you also study about several strain definition.
Purpose of class
It is natural to design something using a 3D-CAD as well as to conduct structural analyses using a FEM software for mechanical engineers. However, It's meaningless unless you evaluate the FEM result correctly. Therefore, you need to learn how to evaluate the result correctly.
Goals and objectives
  1. To understand Cauchy stress
  2. To understand the difference of a reference configuration and a current configuration
  3. To develop the expression for the equation of virtual work
Language
Japanese(English accepted)
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1． abstract for continuum mechanics print1 90minutes
2． Tensor and summation convention print2 90minutes
3． Coordinate transform for a tensor print3 90minutes
4． Symmetry tensor and asymmetry print4 90minutes
5． Cauchy's equation print5 90minutes
6． Equilibrium equation to be satisfied by the Cauchy stress print6 90minutes
7． Principal stress, stress invariants and Mises stress print7 90minutes
8． Mid-term exam and commentary print8 90minutes
9． Motion print9 90minutes
10． Deformation gradient tensor print10 90minutes
11． Finite strain print11 90minutes
12． Infinitesimal strain print12 90minutes
13． Difference between a finite strain and an infinitesimal strain print13 90minutes
14． Final exam and commentary print14 90minutes
Total. - - 1260minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 mid exam final exam report Total.
1. 10% 17% 7% 34%
2. 10% 16% 7% 33%
3. 10% 16% 7% 33%
Total. 30% 49% 21% -
Evaluation method and criteria
mid-term exam（30%），final exam（50%）and reports（20％)
Textbooks and reference materials
（Textbooks）none
（Reference materials）Introduction to Computational Plasticity（oxford)
Prerequisites
material strength and linear algebra
Office hours and How to contact professors for questions
  • every Friday (13:00~15:00)
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Non-social and professional independence development course
Active-learning course
N/A
Last modified : Wed Oct 17 07:54:14 JST 2018