linear hyperelastic material model??
The St. Venant-Kirchhof, Neo-Hookean are nonlinear for finite deformation (finite strain).
The St. Venant-Kirchoff is only linear in Lagrangian frame, as the 2.PK S stress is "linear" w.r.t. Green-Lagrange strain G. But the relationship of true stress and true strain (Cauchy stress and Almansi strain) is highly nonlinear in the Eulerian frame.
Question 1:
Why do we always say that the material is linear? Is there any material model linear? What is about Biot stress or Biot strain energy?
Question 2: