Office: KAP 234C
Office: (213) 7400607
Email: wellford@usc.edu
Class Homepage: wwwclasses.usc.edu/engr/ce/529a/
Text: Cook, Concepts and
Applications of
Finite Element Analysis,
4th Ed., Wiley.
Grading: 25 percent
homework
25 percent project
25 percent midterm (only one midterm exam)
25 percent final
Emphasis:
Variational Models
 Calculus
of variations.
 Constraints
– Largrange multiplier
 Constraints
– penalty
 Galerkin
method.
Continuum Finite Elements
 1D
interpolation methods
 2D
interpolation methods – rectangles and triangles.
 3D
interpolation methods – hexahedron, tetrahedron, prism.
Isoparameteric Elements
 Mappings
– physical system and natural coordinate system.
 Numerical
integration – Gauss quadrature.
Numerical Implementation of the Finite Element
Method
 Column
storage schemes.
 Assembly
in active column form.
 Static
column solvers.
 Mesh
generation.
Finite Elements for Elasticity Problems
 Plane
stress – plane strain.
 Stress
calculation.
 Incompressible
problems.
 Pressure,
enforced displacement, and thermal loading.
Finite Elements for Axisymmetric Elasticity Problems
Finite Elements for Plate Problems
Finite Elements for Shell Problems
Finite Elements for Dynamic Problems
Introduction to Nonlinear Finite Element Analysis
Adaptive Methods
