Abstract

In this paper, a kind of Shape Memory Alloy (SMA) model based on multivariate statistical analysis was developed and applied in studying the vibration characteristic of SMA intravascular stent in blood stream field. Hysteretic nonlinear theory was introduced to interpret the difference between loading and unloading curve of SMA. Multivariate statistical analysis method was applied in finding the relationship among strain, stress and temperature. Dynamic characteristic of SMA intravascular stent in blood stream field was analyzed in multi- scale method and the first-order approximate solution was obtained. Finally the stability of SMA beam system in blood stream field was analyzed. The new SMA model can describe the strain-stress hysteretic curves of SMA well, which is helpful to research on SMA in theory.

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