Course title
有限要素法および演習   [Finite Element Method and Exercises]
Course category technology speciality courses,ets.  Requirement   Credit 3 
Department   Year 34  Semester 3rd 
Course type 3rd  Course code 023521
Instructor(s)
山中 晃徳   [YAMANAKA Akinori]
Facility affiliation Faculty of Engineering Office   Email address

Course description

Finite element method has been widely used to analyze deformation of materials (mechanical equilibrium equation), thermal diffusion (heat diffusion equation) and fluid flow (Navier-Stokes equation). Nowadays, various finite element simulation software are available and used to develop new industrial products. Therefore, engineers need to know fundamental theories and principals of finite element method.
Expected Learning

This lecture gives to students the necessary fundamental theories and principals of finite element method. Furthermore, this lecture provides some opportunities to perform fundamental programming exercise and finite element simulation.
*Corresponding criteria in the Diploma Policy: See the Curriculum maps.
Course schedule
1. Introduction
2. Basic of finite element method
3. Matrix method to solve plane truss problem
Mid-term exam
4. Fundamental mathematics for finite element method
5. Mechanics of materials and theory of elasticity for finite element method
6. Principal of virtual work and boundary value problem of elastic media
7. Formulation of 1-dimensional finite element method (1): Derivation of element finite element equation
8. Formulation of 1-dimensional finite element method (2): Derivation of total finite element equation
9. Formulation of 2-dimensional finite element method(1): Derivation of element finite element equation
10. Formulation of 2-dimensional finite element method(1): Derivation of total finite element equation
11. Programming exercise
12. Introduction of sample program for finite element method
13. Finite element simulation exercises: Uniaxial deformation, bending and stress concentration
14-15. Group work and presentation
Prerequisites
Mechanics of Materials I, Mechanics of Materials II, Theory of elasticity
Preparation and review (45 hours/lecture)
Required Text(s) and Materials
Power point files and PDF files are provided via Moodle in the lecture.
References
Additional references are provided via Moodle.
Assessment/Grading
Reports on exercise problems (70%), Mid-term exam(20%), Group work (10%)
Message from instructor(s)
Course keywords
Finite element method, Numerical simulation
Office hours
Anytime (appointment is required)
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
English
Last update
3/14/2019 10:44:26 AM