Course Title : Advanced Structural Analysis

Code 10B040
Course Year Master 1st
Term 2nd term
Class day & Period Wed 3rd
Location C2-313
Credits 2
Restriction No Restriction
Lecture Form(s) Lecture
Language Japanese
Instructor Makoto Ohsaki

Course Description

Fundamentals of finite element method (FEM) are presented for based on variational and energy principles. Formulations are derived for 2D and 1D finite elements. Basic theories and algorithms for nonlinear FEM are also presented.

Grading

Examination

Course Goals

Understanding of fundamentals of FEM

Course Topics

Theme Class number of times Description
Fundamentals of FEM 2 Fundamental theories and concepts are presented. As a concrete example, formulations for 2D triangle element are derived.
Isoparametric and structural elements 2 Isoparametric and structural elements are presented.
Displacement method and stress method 2 Displacement method and stress method are presented, wherein displacement and stress are respectively selected as unknown variables. Based on Lagrange's multiplier method, hybrid displacement and stress methods are also presented.
Fundamentals of nonlinear FEM 3 Fundamentals of nonlinear FEM are presented. Based on Newton's method, basic theories and algorithms are presented for solving quasi-static and dynamic problems.
Elastoplastic and buckling analysis 2 Basic theories and algorithms for elastoplastic analysis and buckling analysis are presented.
Nonlinear beam elements 3 Nonlinear beam elements are formulated. Both geometric and material nonlinearities are discussed.
Examination 1

Textbook

Textbook(supplemental)

Prerequisite(s)

Applied solid mechanics

Independent Study Outside of Class

Web Sites

Additional Information

Questions are given in each class