Course title
6M0088001
Continuum Mechanics

 watanabe dai Click to show questionnaire result at 2019
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 270minutes
2． Tensor and summation convention print2 270minutes
3． Coordinate transform for a tensor print3 270minutes
4． Symmetry tensor and asymmetry print4 270minutes
5． Cauchy's equation print5 270minutes
6． Equilibrium equation to be satisfied by the Cauchy stress print6 270minutes
7． Principal stress, stress invariants and Mises stress print7 270minutes
8． Mid-term exam and commentary print8 270minutes
9． Motion print9 270minutes
10． Deformation gradient tensor print10 270minutes
11． Finite strain print11 270minutes
12． Infinitesimal strain print12 270minutes
13． Difference between a finite strain and an infinitesimal strain print13 270minutes
14． Final exam and commentary print14 270minutes
Total. - - 3780minutes
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)
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Non-social and professional independence development course
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
Last modified : Sun Mar 21 16:47:01 JST 2021