|
Note: All notes in pdf format - see www.adobe.com
for pdf reader. Links will be activated as material is considered
in class.
Course Notes
| |
Chapter 1 |
Introduction to Discrete Problems |
Slides
-
video |
| |
Chapter 2a |
One-Dimensional Boundary Value Problems
Weighted Residuals; Variation Methods; Finite Element
Formulations;
and Numerical Integration |
Slides
(Method of weighted Residuals) -
video
Slides
(Linear Elements) -
video |
| |
Chapter 2b |
One-Dimensional Boundary Value Problems
Higher Order Interpolation Functions and Eigenvalue Problems |
Slides
(Higher Order Elements) -
video
Slides
(Eigenvalues/Eigenvectors) -
video |
| |
Chapter 3a |
Two-Dimensional Boundary Value Problems
Triangular and quadrilateral elements |
Slides
(Triangular Elements) - video
Slides
(Rectangular Elements) - video
Slides
(Quadrilateral Elements) -
video |
| |
Chapter 3b |
Two-Dimensional Boundary Value Problems
Higher Order Interpolation
Functions - T6 and Q8; Axisymmetric problems;
and Eigenvalue Problems |
Slides
(6-node Triangular Elements) -
video
Slides
(8-node Quadrilateral Elements) -
video
Slides
(Axisymmetric Problems) - video
Slides
(Eigenvalues Problems) - video |
| |
Chapter 4 |
Time Dependent Problems
One Dimensional Diffusion or
Parabolic Equations;
One Dimensional Wave or Hyperbolic
Equations
Two Dimensional Diffusion Equations
Two Dimensional Wave Equations |
Slides
(1-D Diffusion Equations) -
video
Slides
(1-D Wave Equations) - video
Slides
(2-D Diffusion Equations) -
video
Slides
(2-D Wave Equations) - video |
ODE2 - Linear Second-Order Differential Equation Solver
Download the following
zipped file
containing the bleeped ODE2 MATLAB code:
ode2.m, an example input file (test1.in), and the results file (test1org.out).
Download a hardcopy of
MATLAB
code listing with bleeped lines.
ODE2 presentation slides
from class
MESHGEN - Mesh generation program for 3- and 6-noded
triangles
Download the following zipped file containing the
MATLAB code files for MESHGEN
Download a copy of the MESHGEN tutorial
(in-class slides)
and a listing of the MESHGEN code
POIS36 - A finite
element program for the solution of Poisson's equation using either 3 or 6-node
elements
Download the following zipped file
containing the POIS36 MATLAB code and an example input file p95.in.
Download a hardcopy of POIS36
MATLAB
code listing
Download a special version of POIS36_T
that computes the value torque function.
Download a special version of
POIS36_flownet to compute flownets in a porous media
Interesting papers on the history of finite element (FE) analysis
Variational Methods for the Solution of Problems
of Equilibrium and Vibrations (1941) by R.
Courant
Stiffness and Defection Analysis of Complex
Structures (1956) by Turner, Clough, Martin,
and Topp
Energy Theorems and Structural Analysis
(1968) by John H. Argyris and S. Kelsey
Historical Comments on Finite Elements
(1987) by J. Tinsely Oden
Early Finite Element
Research at Berkeley
(1999) by Ray W. Clough and Edward L. Wilson
The Finite Element Methods, Part 1: R. L.
Courant (2007) by G. Pelosi
My Fifty Years with Finite Elements (2008)
by Robert L. Taylor
Fundamental Concepts
(2012)
Meet the Finite Element Method (2012)
Effective Quadrature Rules for Quadratic Solid
Isoparametric Finite Elements
(192) by T. K. Hellen
Quadrature Rules for Brick Based Finite Elements
(1971) by Bruce M. Irons
Ray W. Clough - Structural Engineers
Association bio,
wikipedia
Edward L. Wilson -Structural Engineers
Association bio,
personal website,
wikipedia
Klaus-Jürgen Bathe - wikipedia link
John Argyis Obituary
(2004)
This web site was originally
developed by
Charles Camp for
CIVL
7111.
This site is
maintained by the
Department of Civil Engineering
at the University of Memphis.
Your comments and questions are welcomed.
|
