Lecture 3: Lagrangian Continuum Mechanics Variables for Analysis

Topics: Lagrangian continuum mechanics variables for general nonlinear analysis

• The principle of virtual work in terms of the 2nd Piola-Kirchhoff stress and Green-Lagrange strain tensors
• Deformation gradient tensor
• Physical interpretation of the deformation gradient
• Change of mass density
• Polar decomposition of deformation gradient
• Green-Lagrange strain tensor
• 2nd Piola-Kirchhoff stress tensor
• Important properties of the Green-Lagrange strain and 2nd Piola-Kirchhoff stress tensors
• Physical explanations of continuum mechanics variables
• Examples demonstrating the properties of the continuum mechanics variables

Instructor: Klaus-Jürgen Bathe