Shape Memory Alloy Engineering

6.2. List of Symbols

F_e

   Deformation gradient elastic part

F_t

   Deformation gradient transformation part

F

   Deformation gradient

Ω

   Reference body domain

T

   Absolute temperature

E

   Green–Lagrange strain tensor

E_e

   Green–Lagrange strain tensor elastic part

E_t

   Green–Lagrange strain tensor transformation part

I

   Second-order identity tensor

Ψ_e

   Helmholtz elastic free energy density

Ψ_t

   Helmholtz transformation free energy density

Ψ

   Helmholtz free energy density

I₁

   First invariant of elastic Green–Lagrange strain tensor

I₂

   Second invariant of elastic Green–Lagrange strain tensor

λ,μ

   Lamé constants

β

   SMA material parameter relating critical stress to temperature

h

   SMA material parameter describing uniaxial stress-tr. strain curve slope

ε_L

   SMA ...