Analysis of One-Dimensional Ivshin-Pence Shape Memory Alloy Constitutive Model for Sensitivity and Uncertainty

Area of Science:

• Materials Science
• Mechanical Engineering
• Computational Mechanics

Background:

• Shape memory alloys (SMAs) exhibit unique thermomechanical properties like shape memory effect and pseudoelasticity.
• Constitutive models simulate SMA behavior, with the Ivshin-Pence model being a popular macroscopic phenomenological approach.
• Parameter uncertainty in the Ivshin-Pence model can lead to inaccurate predictions and performance issues in real-world applications.

Purpose of the Study:

• To perform a sensitivity and uncertainty analysis of the Ivshin-Pence model for SMAs.
• To investigate how parameter uncertainty propagates under varying temperatures and loading conditions.
• To identify the most influential parameters affecting the model's predictive accuracy.

Main Methods:

• Employed a probabilistic approach for sensitivity and uncertainty analysis.
• Utilized Sobol and extended Fourier Amplitude Sensitivity Testing (eFAST) methods.
• Simulated isothermal loading/unloading conditions at various operating temperatures.

Main Results:

• The model's prediction of SMA stress-strain curves is sensitive to operating temperature and loading conditions.
• Sensitivity analysis revealed specific parameters with significant influence on model predictions.
• Identified average and stress-dependent sensitivity indices for key parameters across different temperatures.

Conclusions:

• Probabilistic analysis is crucial for understanding and mitigating uncertainty in SMA constitutive models.
• Identifying influential parameters enhances the reliability of the Ivshin-Pence model for SMA applications.
• This research contributes to more accurate predictions and safer performance of SMAs under diverse conditions.