ABSTRACT
The Brinson Constitutive model (Brinson 1993) based on the concept of free energy driving force can avoid the problem of measuring parameters. It defined the parameters to apply for engineering calculation. Because the form of model is simple, it is widely been applied. For the constant temperature T T0, simplified equations are as follows:
σ σ ξ ε ε ξ ξ ξi i iD=0 0i i 0( − )( ) (1)
D i A i M A( ( )D Dξ ξD) (2)
Ω( ( )ξ ε) ξi L iD (3)
ξ π
σ σ σ σi
cr c= −⎡⎣ ⎤⎦ ⎧ ⎨⎪ ⎩⎪
⎫ ⎬⎪ ⎭⎪
+ 1 2
1 2
cos ( )T M−
(4)
ξ ξ π σ
c T c A c A c A=
− −
−
⎛ ⎝⎜
⎞ ⎠⎟ +
⎡ ⎣⎢
⎤ ⎦⎥
2 1cos (5)
where DA and DM is the elastic modulus of fully austenitic and martensitic respectively; As and Af is
1 INTRODUCTION
Shape Memory Alloys (SMAs) are a class of metal with excellent characteristics including the shape memory effect, super elastic effect, high damping, and good corrosion resistance, therefore, SMAs find many applications in structural vibration control fields.
