Research Article Open Access

Multistage Development of Müller-Achenbach model for Shape Memory Alloy

Simin Ataollahi Oshkovr1, Nik Abdullah Nik Mohamed1, Che Husna Azhari1, Siavash Talebi Taher2 and Azim Ataollahi Oshkour2
  • 1 University Kebangsaan Malaysia (UKM), Malaysia
  • 2 University Putra Malaysia, Malaysia


This research focused on the conceptual development of constitutive Müller-Achenbach model and proceeds to construct a model based on phase transition under changing temperature and load for variants of martensite in shape memory alloy CuAlNi (Copper-aluminum-nickel). Problem statement: Motivation of this research is rare information of a variant of martensite phase (M++) and prediction of the shape recovery of shape memory alloy in this stage of transformation. Approach: The mathematical equations proposed a prediction of stability of Austenite phases and extend it to multistage martensitic phase transformation. These phase transformations occurred by loading on the material. Equations described free energy landscape in CuAlNi shape memory alloys at low (260K) and high temperature (440K). The model evaluated the free energy due to the phase transformation between the austenite and multistage martensitic structures. Results: Results for M++ phase showed decrease in temperature from 440K to 260K presented decrease in stress approximately from 1 kN to 0.4kN and free energy from 5 kJ/kg to 0.1 kJ/kg. Equations have been solved and plotted by software programmed in MATLAB. Conclusions/Recommendations: The model which has derived focused on homogeneous shape memory alloys, but future performance requirements will most likely be met with heterogeneous materials. Therefore, simulation models for heterogeneous materials must be developed.

American Journal of Engineering and Applied Sciences
Volume 1 No. 4, 2008, 248-251


Submitted On: 18 September 2008 Published On: 31 December 2008

How to Cite: Oshkovr, S. A., Mohamed, N. A. N., Azhari, C. H., Taher, S. T. & Oshkour, A. A. (2008). Multistage Development of Müller-Achenbach model for Shape Memory Alloy. American Journal of Engineering and Applied Sciences, 1(4), 248-251.

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  • Phase transformation
  • martensitic transformation
  • shape memory alloys