One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials

1997 ◽  
Vol 8 (4) ◽  
pp. 285-302 ◽  
Author(s):  
C. Liang ◽  
C. A. Rogers
1992 ◽  
Vol 114 (2) ◽  
pp. 223-230 ◽  
Author(s):  
C. Liang ◽  
C. A. Rogers

This paper describes the design of shape memory alloy force and displacement actuators based upon the thermomechanical constitutive relations previously developed by the authors. Numerical simulations and design case studies are presented which show the utility and advantages of this method over design methods currently being used. The types of actuators described and analyzed include bias spring actuators, differential force actuators, and their hybrid systems. The design approach includes coupling between the one-dimensional thermomechanical constitutive relations and a lumped capacitance transient thermal analysis. The design approach described herein will provide a practical and convenient method for use in the design of shape memory alloy actuators.


2008 ◽  
Vol 33-37 ◽  
pp. 501-506
Author(s):  
Shi Rong Li ◽  
Wen Shan Yu

Based on Brinson’s one-dimensional thermo-mechanical constitutive relations of shape memory alloys and the theory of thin plates in the von Kármán sense, the response of bending of a uniform heated circular plate embedded with SMA fibers in the radial directions and subjected to a uniform distributed mechanical load is studied. The characteristic curves of the central deflection versus temperature rise of the circular plate with both clamped and simply supported boundary conditions are obtained. The numerical results show that, the recovery forces of the pre-strained SMA caused by the phase transformation from martensite to austenite can modify the bending deformation significantly. So, it can be concluded that the bending deformation can be adjusted effectively and actively by embedment of the SMA fibers into the circular plates


2011 ◽  
Vol 21 (05) ◽  
pp. 1043-1069 ◽  
Author(s):  
A.-L. BESSOUD ◽  
U. STEFANELLI

We present a three-dimensional phenomenological model for the magneto-mechanical behavior of magnetic shape memory materials such as Ni2MnGa . Moving from micromagnetic considerations, we advance to some thermodynamically consistent constitutive relations describing the magnetically-induced cubic-to-tetragonal martensitic transformation in a single crystal. We present an existence analysis for both the constitutive relation problem and the three-dimensional quasi-static evolution problem. Finally, we discuss the reduction of this model to some simpler one by means of a rigorous Γ-convergence analysis.


2017 ◽  
Vol 136 ◽  
pp. 238-248 ◽  
Author(s):  
L. Sun ◽  
W.M. Huang ◽  
T.X. Wang ◽  
H.M. Chen ◽  
C. Renata ◽  
...  

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