Finite Element Method Course Contents

Course Syllabus (v1. 20190220)

Reading Assignments (partial chapters from the following books)

F&B: Fish, J. and Belytschko, T., A First Course in Finite Elements, Wiley, 2007 (e-access available from NTU subscription). 

R: Reddy, JN, An Introduction to the Finite Element Method, McGraw-Hill, 2006.  

Onate: Onate E., Structural Analysis with the Finite Element Method: Linear Statics, Volume 1 Basis and Solids, Springer, 2009 (e-access available from NTU subscription).

ZTZ: Zienkiewicz, O.C., Taylor, R.L., Zhu, J.Z., The Finite Element Method, Volume 1: Its Basis and Fundamentals, BH, 2013 (e-access available from NTU subscription).

Ferreira: Ferreira, AJM, MATLAB Codes for Finite Element Analysis, Springer, 2008 (e-access available from NTU subscription).

Borst: Borst, Crisfield, Remmers, Verhoosel, Non-Linear Finite Element Analysis of Solids and Structures, Second Edition, Wiley, 2012. (e-access available from NTU subscription).

Wriggers: Wriggers, P, Nonlinear Finite Element Methods, Springer, 2008. (e-access available from NTU subscription).


Lecture

Week

Month-Date

Topics

Reading Assignment

Lecture

Video

Homework

1

02-20

Introduction to Finite Elements

Fundamental Concepts in Finite Element Formulations (1)

Chapter 1 (F&B)

Chapter 3 (F&B)

FEM Intro

Note (anno1)

Part 1

Part 2

Part 3

Part 4

 

2

02-27

Fundamental Concepts in Finite Element Formulations (2)

Chapter 3 (F&B)

(Supplement) Chapter 3&4 (ZTZ)

anno2

Note (anno1)

Part 1

Part 2

Part 3

  HW1 (Solution)








3

03-06

1D Finite Element Formulation (1)

Chapter 3 (F&B)

Chapter 3&4 (R)

(Supplement) Hughes 1.10

Note (anno1)

Part 1

Part 2

Part 3

 HW2

(Solution

4

03-13

Quiz 1 (09:10 -- )

     

   Quiz , solution (anno)

5

03-20

Quiz 1 Review

1D Finite Element Formulation (2)

Chapter 3 (F&B)

anno2

Part 1

Part 2

Part 3

 HW3
(Solution)

6

03-27

1D Finite Element Formulation (3)

Chapter 3 (F&B)

anno3

Note (anno1)

Part 1

Part 2

Part 3

 HW4
(Solution)

7

04-03

Happy Spring Break!

   

 

 

8

04-10

1D Finite Element Formulation (4)

Chapter 3 (F&B)

anno2

Note (anno1)

Part 1

Part 2

Part 3

 HW5
(Solution)

9

04-17

Linear Elasticity and 2D Triangular and Rectangular Finite Element Formulation (1)

Chapter 6.1 (F&B)

Chapter 9 (F&B)

Appendix C (Logan)

Note (anno1)

Part 1

Part 2

Part 3

 HW6
(Solution)

10

04-24

Linear Elasticity and 2D Triangular and Rectangular Finite Element Formulation (2)

Chapter 6.1 (F&B)

Chapter 9 (F&B)

Appendix C (Logan)

anno2

Note (anno1)

Part 1

Part 2

Part 3

 

10

04-25

Midterm Concept and Derivation (18:00 CE Research Building 405 and 407)

   

 

 Midter Exam Solution

11

05-01

Linear Elasticity and 2D Triangular and Rectangular Finite Element Formulation (3)

Chapter 6.1 (F&B)

Chapter 9 (F&B)

Appendix C (Logan)

anno2

Note (anno1)

Midterm Review

Part 1

Part 2

Part 3

 HW7
(Solution)

12

05-08

Linear Elasticity and 2D Triangular and Rectangular Finite Element Formulation (4)

Chapter 6.1 (F&B)

Chapter 9 (F&B)

Appendix C (Logan)

 

anno2

Part 1

Part 2

Part 3

 HW8
(Solution)
(prob1)

13

05-15

Isoparametric Formulation (1)

Chapter 7 (F&B)

Chapter 5, 6, 7 (Onate)

Chapter 6 (ZTZ)

Note (anno1)

Part 1

Part 2

Part 3

 HW9
(Solution)

14

05-22

Isoparametric Formulation (2)

Chapter 7 (F&B)

Chapter 5, 6, 7 (Onate)

Chapter 6 (ZTZ)

anno2

Part 1

Part 2

Part 3

 

15

05-29

Isoparametric Formulation (3)

Chapter 7 (F&B)

Chapter 5, 6, 7 (Onate)

Chapter 6 (ZTZ)

anno2

Part 1

Part 2

Part 3

 HW10
(Solution)

16

06-05

Isoparametric Formulation (4)

Nonlinear Finite Elements for Solids (1)

 

anno3

Note (anno1)

Part 1

Part 2

Part 3

 HW11
(Solution)

17

06-12

Nonlinear Finite Elements for Solids (2)

Ending

 

anno2

Part 1

Part 2

Part 3

 

--

--

Supplements (self study, convergence and convergence rate; Euler and Timoshenko beam)

 

Note

Note

   

--

06-19

Final Concept and Derivation (09:10, Classroom; please arrive in 5 minutes before the exam)

Mock (final from 2018)

 

   

MATLAB Programming Lecture and Lab

2

02-27

MATLAB Introduction (1)

Note (anno1)


3

03-07

Lab starts! MATLAB Introduction (1): Basics, Matrices and Graphics

anno2

 Lab1 (Solution)

4
03-14
 No Lab


5

03-21

MATLAB Introduction (2): More Basic Elements, Braches and Loops, User-Defined Functions

anno3

 Lab2 (Solution)

6
03-28
 1D FEM in MATLAB
 MATLAB Code: BarSimple
 Lab3 (Solution)
7
04-04
 Happy Spring Break!
   
8
04-11
 1D FEM in MATLAB
 MATLAB Code: BarIsoParametric  Lab4 (Solution)
9
04-18
 Midterm MATLAB
   
11
05-02
 MidtermExercises
 MATLAB Code: Lab5Dist  Lab5 (Solution)
12
05-09
 2D Triangular FEM in MATLAB
 MATLAB Code: T3Simple
 Lab6 (Solution)
13
05-16
 2D Rectangular FEM in MATLAB
 MATLAB Code: RecSimple
 Lab7 (Solution)
14
05-23
 2D Isoparametric FEM in MATLAB  MATLAB Code: Q4Taper
 Lab8 (Solution)
15
05-30
 2D Isoparametric FEM in MATLAB
 MATLAB Code: Q9Simple
 Lab9 (Solution)
16
06-06
 2D Isoparametric FEM in MATLAB

 Lab10(Solution)
17
06-13
 Final MATLAB, start at 18:00 (please arrive in 5 minutes before the exam)