Lecture 4: Generalized Coordinate Finite Element Models

Linear Analysis

Topics: Generalized coordinate finite element models

Classification of problems: truss, plane stress, plane strain, axisymmetric, beam, plate, and shell conditions; corresponding displacement, strain, and stress variables
Derivation of generalized coordinate models
One-, two-, three-dimensional elements, plate and shell elements
Example analysis of a cantilever plate, detailed derivation of element matrices
Lumped and consistent loading
Example results
Summary of the finite element solution process
Solution errors
Convergence requirements, physical explanations, the patch test

Instructor: Klaus-Jürgen Bathe