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An approach for modelling fracture of shape memory alloy parts

  • Evard, Margarita E. (Research Institute of Mathematics and Mechanics, Saint-Petersburg State University) ;
  • Volkov, Alexander E. (Research Institute of Mathematics and Mechanics, Saint-Petersburg State University) ;
  • Bobeleva, Olga V. (Research Institute of Mathematics and Mechanics, Saint-Petersburg State University)
  • Received : 2006.01.14
  • Accepted : 2006.05.03
  • Published : 2006.10.25
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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.

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References

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