Lecture 2: Basic Considerations in Nonlinear Analysis

Name: Lecture 2: Basic Considerations in Nonlinear Analysis
Uploaded: 2011-06-11T03:55:40Z
Duration: 1 h 5 min 56 s

1:05:56

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Lecture 3: Lagrangian Continuum Mechanics Variables for Analysis

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