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Mechanical Model for Super-elastic Helical Spring of Shape Memory Alloy

ZHOU Bo1 WANG Zhiyong1 XUE Shifeng1

(1.College of Pipeline and Civil Engineering, China University of Petroleum, Qingdao 266580)
【Knowledge Link】shape memory alloy

【Abstract】The distributions of strain and stress in the section of the shape memory alloy (SMA) wire of a helical spring are analyzed and described based on the deformation theory of ordinary helical springs and the constitutive model of SMAs. Then the formulas are derived to calculate the phase-transition critical parameters of SMA helical springs. A mechanical model, which expresses the relation between axial force and axial deformation of SMA helical springs, is developed based on the experimental phenomena and the formulas of phase-transition critical parameters of SMA helical springs. Results show that the developed mechanical model is able to predict the relation between axial force and axial deformation of SMA helical springs and overcome the limitations of the finite element method in geometric modeling and numerical convergence. Therefore, it can serve as a theoretical basis and technical reference for the investigation on the mechanical behavior of SMA helical springs and the structural design based on SMA helical springs.

【Keywords】 shape memory alloy; helical spring; phase transition critical parameter; mechanical model;


【Funds】 National Key R&D Program of China (2017YFC0307604)

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This Article


CN: 11-2187/TH

Vol 55, No. 08, Pages 56-64

April 2019


Article Outline



  • 0 Introduction
  • 1 SMA macroscopic constitutive model
  • 2 A mechanical model of SMA helical springs
  • 3 Example analysis
  • 4 Conclusion
  • References