scholarly journals Three-dimensional modeling of shape-memory materials

2001 ◽  
Vol 11 (PR8) ◽  
pp. Pr8-509-Pr8-514
Author(s):  
F. Auricchio
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.


2011 ◽  
Vol 56 (3) ◽  
pp. 766-770 ◽  
Author(s):  
Delphine Tardivo ◽  
Julien Sastre ◽  
Michel Ruquet ◽  
Lionel Thollon ◽  
Pascal Adalian ◽  
...  

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