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A theoretical model for functionally graded shape memory alloy cylinders subjected to internal pressure

Published online by Cambridge University Press:  13 December 2016

Bingfei Liu ,
Shilong Hu ,
Wei Zhang ,
Rui Zhou ,
Yanan Zhang  and
Yuping Zhu
Bingfei Liu
Affiliation:
Airport College, Civil Aviation University of China, Tianjin 300300, China
Shilong Hu
Affiliation:
Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin 300300, China
Wei Zhang*
Affiliation:
College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, China; and Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin 300300, China
Rui Zhou
Affiliation:
College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, China
Yanan Zhang
Affiliation:
Airport College, Civil Aviation University of China, Tianjin 300300, China
Yuping Zhu
Affiliation:
Key Laboratory of Seismic Observation and Geophysical Imaging, Institute of Geophysics, China Earthquake Administration, Beijing 100081, China
*
a)Address all correspondence to this author. e-mail: drwadecheung@gmail.com
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Abstract

A theoretical model for the Functionally Graded Shape Memory Alloy (FG-SMA) cylinders subjected to internal pressure is investigated. The gradient properties in this work are embodied in the Young’s modulus and Poisson’s ratio gradient through the thickness of the cylinder. The critical transformation stresses and maximum formation strain are all assumed to be constant. Combining the elasticity and exponential function of the Young’s modulus and Poisson’s ratio with the different gradient parameters, the elastic stress distributions and displacement distributions for the FG-SMA cylinder under the internal pressure are obtained, respectively. To get the theoretical solution, the Tresca yield function and the ideal elastic–plastic constitutive model are selected for the shape memory alloy to illustrate the phase transformation. The relationships between the internal pressure and total strain at the internal radius with different gradient parameters are then given, and the results show that the total strains are greatly influenced by the different parameters.

Keywords

functionally graded materialshape memory alloycylinder
Type
Articles
Information
Journal of Materials Research , Volume 32 , Issue 7 , 14 April 2017 , pp. 1397 - 1406
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Copyright
Copyright © Materials Research Society 2016 

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Footnotes

Contributing Editor: Susan B. Sinnott

References

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