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