A Few Mathematical Aspects of the Kraus Model

The actual shapes of G (Yo), G (Yo) and G (Yo) essentially dictated by the mathematical fimctions used to express the dependence on Yo and by the upper and lower limits. 

The Vl + tan5 term can be viewed as the viscous character, weighed with respect to elasticity. 

The Kraus model implies thus that, at the critical strain, the viscous character is maximum 2% of the elastic one and less than 0.1% at very high strain. Such limits somewhat depend on the value of fhe critical strain The variahons of G and G , as modeled by Kraus model, essentially reflect the mathematical forms of the Jo/Jc functions. 

---