Lecture 4: Generalized Coordinate Finite Element Models

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