Stiffening Model 1 - GCMLab/GCMLab-FEM GitHub Wiki

The stress field is related to the elastic strains through the constitutive law,

in which is the 4^th order linear elasticity tensor.

The modulus of elasticity is a non-linear stiffening law according to the first invariant of the strain tensor such that

• One-dimensional problems:

  

  in which E is the modulus of elasticity (Young's modulus) and

  

• Two-dimensional problems:

  

  Plane strain

  

  in which is Poisson's ratio.

  Plane stress