Record number :
Title of article :
Macroscopic equilibrium domain structure and geometric compatibility in elastic phase transition of thin plates
Author/Authors :
He، نويسنده , , Y.J. and Sun، نويسنده , , Q.P.، نويسنده ,
Issue Information :
ماهنامه با شماره پیاپی سال 2010
Pages :
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Abstract :
Different macroscopic domain structures have been observed during stress-induced austenite to martensite phase transition in thin plates of NiTi polycrystalline shape memory alloy (SMA) under quasi-static tension. This paper studies the role of geometric compatibility in forming two-dimensional (2D) equilibrium domain structures in plates of different aspect ratios W/L (width/length). A nonconvex and nonlocal continuum model of the material is developed and implemented into a finite-element code to simulate the formation of macroscopic domain structures during isothermal quasi-static displacement-controlled stretching of the plates. It is shown that geometric compatibility between the deformation of the domains and the boundary constraints plays a key role in the formation of domain structures. As the degree of boundary constraint is increased by an increase in the width/length ratio W/L of the plate, the equilibrium domain structure changes from the single domain to multiple domains and eventually to martensite-twin domains. At the same time, stress–strain responses in transforming the plates change with W/L. The main results of our modeling agree qualitatively with experimental observations.
Keywords :
Elastic phase transition , Nonconvex and nonlocal elasticity , Geometric compatibility , Instability , Macroscopic domain structure , finite-element method
Journal title :
International Journal of Mechanical Sciences
Link To Document :