Topics: Basic considerations in nonlinear analysis

• The principle of virtual work in general nonlinear analysis, including all material and geometric nonlinearities
• A simple instructive example
• Introduction to the finite element incremental solution, statement and physical explanation of governing finite element equations
• Requirements of equilibrium, compatibility, and the stress-strain law
• Nodal point equilibrium versus local equilibrium
• Assessment of accuracy of a solution
• Example analysis: Stress concentration factor calculation for a plate with a hole in tension
• Example analysis: Fracture mechanics stress intensity factor calculation for a plate with an eccentric crack in tension
• Discussion of mesh evaluation by studying stress jumps along element boundaries and pressure band plots

Instructor: Klaus-Jürgen Bathe