This book covers advanced techniques for the analysis of linear elastic structures by the Finite
Element Method (FEM). It has been constructed from Notes prepared for the course Advanced to
Finite Element Methods or AFEM. This course has been taught at the Department of Aerospace
Engineering Sciences, University of Colorado at Boulder since 1990. It is offered every 2 or 3
years. AFEM is a continuation of Introduction to Finite Element Methods, or IFEM.
1
Overview
2
Decomposition of Poisson Problems
Homework Exercises for Chapter 2
Solutions
3
Weak and Variational Forms of the Poisson’s Equation
Homework Exercises for Chapter 3
Solutions
4
The Bernoulli-Euler Beam
Homework Exercises for Chapter 4
Solutions
5
Three-Dimensional Linear Elastostatics
Homework Exercises for Chapter 5
Solutions
6
The HR Variational Principle of Elastostatics
Homework Exercises for Chapter 6
Solutions
7
The Three-Field Mixed Principle of Elastostatics
Homework Exercises for Chapter 7
Solutions
8
Hybrid Variational Principles of Elastostatics
Homework Exercises for Chapter 8
Solutions
9
Structures of Revolution
10
Axisymmetric Iso-P Elements
Homework Exercises for Chapter 10
Solutions
11
Iso-P Quadrilateral Ring Elements
12
A Complete Axisymmetric FEM Program
14
Solid Elements
16
The Ten Node Tetrahedron
17
A Compendium of FEM Integration Rules for CAS Work
18
Hexahedron Elements
21
Variational Crimes and the Patch Test
22
Recent Advances in Finite Element Templates
23
Optimal Membrane Triangles with Drlling Freedoms
24
Kirchhoff Plates: Field Equations
25
Kirchhoff Plates: BCs and Variational Forms
26
Thin Plate Elements: Overview
27
Triangular Plate Displacement Elements
28
Templates and Morphing
29
Shell Structures: Basic Concepts
30
A Solid Shell Element
