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Smart Structures and Systems
  Volume 2, Number 4, October 2006 , pages 357-363
DOI: https://doi.org/10.12989/sss.2006.2.4.357
 


An approach for modelling fracture of shape memory alloy parts
Margarita E. Evard, Alexander E. Volkov and Olga V. Bobeleva

 
Abstract
    Equations describing deformation defects, damage accumulation, and fracture condition have been suggested. Analytical and numerical solutions have been obtained for defects produced by a shear in a fixed direction. Under cyclic loading the number of cycles to failure well fits the empirical Koffin-Manson law. The developed model is expanded to the case of the micro-plastic deformation, which accompanies martensite accommodation in shape memory alloys. Damage of a shape memory specimen has been calculated for two regimes of loading: a constant stress and cyclic variation of temperature across the interval of martensitic transformations, and at a constant temperature corresponding to the pseudoelastic state and cyclic variation of stress. The obtained results are in a good qualitative agreement with available experimental data.
 
Key Words
    shape memory alloys; modeling; fracture; cyclic loading, thermocycling.
 
Address
Research Institute of Mathematics and Mechanics, Saint-Petersburg State University, Universitetski pr., 28, Stary Petergof, 198504, St-Petersburg, Russia
 

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