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Introduction to Finite Element Analysis in Solid Mechanics

Summary

In resolving boundary-values in the field of solid mechanics, it is a grave mistake to think that finite element software will provide the solution. In this course students will learn the steps beginners should take in order to reach correct solutions through lectures and practical training.

Course Contents

1. Lectures

Vector and tensor calculation
Basic relational expressions and principles of virtual work
in problems of minimal elastic strain in solid mechanics
Numerical solution of finite element analysis

・Form function
・Displacement - strain matrix
・Element stiffness equation

・Total stiffness matrix
・Solution of total stiffness equation

2. Practical Training

Software activation, use and termination
Analytical training

・Introduction to analysis
・Creation of geometric forms
・Grant of material property
・Selection of elements

・Mesh generation
・Establishment of boundary conditions
・Analysis and results
・Confirmation of solution credibility

Structure and Schedule

Lectures and practical training are offered on 5 consecutive days (4 periods×5 days) during the summer vacation period. A Finite Element Analysis text will be used in the lecture. Practical training consists of one sample case and two exercises. Students will work individually to seek solutions for the two exercises using software, and a comparison is to be made to confirm the accuracy of the solution using another method of analysis. Students report their results to the professor and check if the calculations are valid.

Course Option

Concerning the training exercise, students may bring exercises other than the exercises provided by the professor.

Course Objectives

The objective of this course is to acquire an analytical method that increases confidence that solutions are accurate. Students will research texts and other documents on material mechanics, receive advice from highly experienced experts and learn to obtain accurate solutions using finite element analysis.

Fundamental skills required for the course

It is desirable that students to have a basic knowledge of material mechanics. Students who lack such knowledge should seek a minimum level of knowledge prior to taking the course. It is also advantageous for students to have taken Biomechanics and the Calculation Biomechanics Workshop.

Examples of Research Theme Combinations

The following list shows examples of research projects that can be combined with this course.

"Development of substitute biomaterials"
"Development of MEMS structures"
"Development of welfare devices"
"High integration of electronic parts"

Assessment of academic achievement

Scores will be given on a scale of 1 to 5 for the items listed below. An average score of 3.5 is considered a passing score.

(1) Level of understanding of the principles of finite element analysis
(2) Level of achievement for Exercise 1
(3) Level of achievement for Exercise 2
(4) Level of acquired knowledge of confirmation method for calculation credibility