Model free energy, mechanics, and thermodynamics of shape memory alloys

1980 ◽  
Vol 28 (12) ◽  
pp. 1773-1780 ◽  
Author(s):  
F. Falk
Keyword(s):  
Free Energy ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Model Free

A Multidimensional Constitutive Model for Shape Memory Alloys

2014 ◽  
Vol 584-586 ◽  
pp. 1141-1144
Author(s):  
Wei Wang ◽  
Ji Yuan Liu
Keyword(s):  
Free Energy ◽  
Constitutive Model ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Shape Memory Effect ◽  
Memory Effect ◽  
Dissipation Energy ◽  
Thin Walled

A multidimensional constitutive model for shape memory alloys (SMA) is developed in the paper, which is based on the thermodynamics theories of free energy and dissipation energy. This model can well describe both the shape memory effect (SME) and super elasticity effect (SE) of the thin-walled SMA cylinder under an axial tensional force and torsion.

Global attractor for a nonlinear thermoviscoelastic system in shape memory alloys

2008 ◽  
Vol 138 (5) ◽  
pp. 1103-1135 ◽  
Author(s):  
Yuming Qin ◽  
Hailiang Liu ◽  
Changming Song
Keyword(s):  
Free Energy ◽  
Phase Transitions ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Global Attractor ◽  
Helmholtz Free Energy ◽  
Absorbing Set ◽  
Crystal Lattices ◽  
One Dimensional ◽  
Martensitic Phase Transitions

This paper is concerned with the existence of a global attractor for a semi-flow governed by the weak solutions to a nonlinear one-dimensional thermoviscoelastic system with clamped boundary conditions in shape memory alloys. The constitutive assumptions for the Helmholtz free energy include the model for the study of martensitic phase transitions in shape memory alloys. To describe physically phase transitions between different configurations of crystal lattices, we work in a framework in which the strain u belongs to L∞. New approaches are introduced and more delicate estimates are derived to establish the crucial L∞ -estimate of strain u in the course of showing the compactness of the orbit of the semi-flow and existence of an absorbing set.

scholarly journals A Lamination Upper Bound to the Free Energy of Shape Memory Alloys

PAMM ◽  
2006 ◽  
Vol 6 (1) ◽  
pp. 481-482
Author(s):  
Rainer Heinen ◽  
Klaus Hackl ◽  
Gregor Kotucha ◽  
Thorsten Bartel
Keyword(s):  
Free Energy ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Upper Bound

scholarly journals A free energy model for thin-film shape memory alloys

2003 ◽  
Author(s):  
Jordan E. Massad ◽  
Ralph C. Smith ◽  
Gregory P. Carman
Keyword(s):  
Thin Film ◽  
Free Energy ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Energy Model ◽  
Free Energy Model
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