RES.2-002 | Spring 2010 | Graduate

Finite Element Procedures for Solids and Structures

Nonlinear Analysis

Lecture 9: 2-Noded Truss Element - Total Lagrangian Formulation

Topics: The two-noded truss element - total Lagrangian formulation

  • Derivation of total Lagrangian truss element displacement and strain-displacement matrices from continuum mechanics equations
  • Mathematical and physical explanation that only one component of the 2nd Piola-Kirchhoff stress tensor is nonzero
  • Physical explanation of the matrices obtained directly by application of the principle of virtual work
  • Discussion of initial displacement effect
  • Comparison of updated and total Lagrangian formulations
  • Example analysis: Collapse of a truss structure
  • Example analysis: Large displacements of a cable

Instructor: Klaus-Jürgen Bathe

Course Info

As Taught In
Spring 2010