Lecture 3: Lagrangian Continuum Mechanics Variables for Analysis

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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

Related Resources

Study Guide (PDF)

Readings

Sections 6.2.1-6.2.2

Examples

Problems 6.5-6.15