Lecture 2: Basic Considerations in Nonlinear Analysis

Om kurset

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