Material Preset
Transformation Temperatures [°C]
Ms (Martensite start)-10 °C
Mf (Martensite finish)-50 °C
As (Austenite start)10 °C
Af (Austenite finish)40 °C
Mechanical Parameters
Clausius-Clapeyron slope [MPa/°C]6.5
Max recovery strain εmax [%]8.0 %
Austenite modulus [GPa]83 GPa
Martensite modulus [GPa]28 GPa
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Hysteresis ΔT [°C]
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Transform. stress σ* [MPa]
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Max recovery strain [%]
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Work density [MJ/m³]
▲ Temperature–Strain Hysteresis Loop (Cooling ↓ / Heating ↑)
▲ Clausius-Clapeyron: Stress vs Transformation Temperature Shift
Theory
Clausius-Clapeyron relation (stress-induced transformation):
$$\frac{d\sigma}{dT} = -\frac{\rho \cdot \Delta H}{\varepsilon_L \cdot T_0}$$Transformation temperature shift: $T_s(\sigma) = T_s^0 + \sigma / (d\sigma/dT)$
Recovery stress (fully constrained):
$$\sigma_{rec} = E_A \cdot \varepsilon_L \cdot \left(1 - \frac{T - A_s}{A_f - A_s}\right)$$Work output density: $W = \frac{1}{2}\sigma^* \cdot \varepsilon_L$
CAE Note: SMA behavior is modeled in ANSYS using the Shape Memory Alloy material model (TB,SMA) and in ABAQUS via the Superelastic/Shape Memory constitutive model. Used in FEM simulation of medical stents, seismic energy dissipators, and aerospace morphing structures.