Liang - Brinson Model

Conversion to de-twinned Martensite:

For T > M_S and

and

(34.5)

The subscript ‘0' indicates the initial fraction of transformation. The superscript ‘cr 'indicates the critical stress beyond which the multi-variant Martensite crystals get converted to single variant of Martensite.

For T > M_S and

and

(34.5)

where if M_f <T<M_s and T<T₀

else =0

Conversion to Austenite:

For T >A_S and C_A (T-A_f ) < s < C_A (T-A_S )

(34.6)

and

With separation of ξ into two distinct components, Liang's constitutive model is further improved, to consider material functions, as;

(34.7)

where , ;

E_A : the Young's modulus of the Austenite and
E_M :the Young's modulus of the Martensite and
ε_L: is the maximum recoverable Martensitic strain.

Congratulations! You have finished Lecture 34.