Transformation yield surface of shape memory alloys

Shape-memory alloys transform under stress, and this stress-induced transformation is useful for various practical applications. The stress at which the alloy transforms depends on the orientation of the stress relative to the specimen, and may be described using a transformation yield surface. This paper provides early results of a theoretical treatment of the transformation yield surface of shape-memory polycrystals with particular emphasis on the influence of texture.

[1]  J. Stillwell,et al.  Symmetry , 2000, Am. Math. Mon..

[2]  Lucas Delaey,et al.  Asymmetry of stress–strain curves under tension and compression for NiTi shape memory alloys , 1998 .

[3]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[4]  E. Patoor,et al.  Influence of Microstructural Parameters on Shape Memory Alloys Behavior , 2002 .

[5]  Kaushik Bhattacharya,et al.  Comparison of the geometrically nonlinear and linear theories of martensitic transformation , 1993 .

[6]  U. F. Kocks,et al.  The yield surface of textured polycrystals , 1985 .

[7]  Ken Gall,et al.  The role of texture in tension–compression asymmetry in polycrystalline NiTi , 1999 .

[8]  Christian Lexcellent,et al.  Experimental and numerical determinations of the initial surface of phase transformation under biaxial loading in some polycrystalline shape memory alloys , 2002 .

[9]  Christian Lexcellent,et al.  Mechanical Behavior of a Cu-Al-Be Shape Memory Alloy Under Multiaxial Proportional and Nonproportional Loadings , 2002 .

[10]  R. Kohn,et al.  Geometrically nonlinear shape-memory polycrystals made from a two-variant material , 2000 .

[11]  Robert V. Kohn,et al.  Elastic Energy Minimization and the Recoverable Strains of Polycrystalline Shape‐Memory Materials , 1997 .

[12]  T. Shield.  Orientation dependence of the pseudoelastic behavior of single crystals of CuAlNi in tension , 1995 .

[13]  Wei Min Huang,et al.  “Yield” surfaces of shape memory alloys and their applications , 1999 .

[14]  Ken Gall,et al.  Tension–compression asymmetry of the stress–strain response in aged single crystal and polycrystalline NiTi , 1999 .

[15]  George J. Weng,et al.  A self-consistent model for the stress-strain behavior of shape-memory alloy polycrystals , 1998 .

[16]  K. Bhattacharya,et al.  THE INFLUENCE OF TEXTURE ON THE SHAPE- MEMORY EFFECT IN POLYCRYSTALS , 1998 .

[17]  D. Schryvers,et al.  From the lattice measurements of the austenite and the martensite cells to the macroscopic mechanical behavior of shape memory alloys , 2001 .

[18]  R. James.  Displacive phase transformations in solids , 1986 .

[19]  Robert V. Kohn,et al.  Symmetry, texture and the recoverable strain of shape-memory polycrystals , 1996 .

[20]  C. Bouvet,et al.  What about the Yield Transformation Surface Determination (Austenite → Martensite) with The Measurement of Austenite and Martensite Lattice Parameters for some Shape Memory Alloys? , 2004 .

[21]  A. Forclaz.  Variational Methods in Materials Science , 2002 .

[22]  T. P. G. Thamburaja,et al.  Superelastic behavior in tension–torsion of an initially-textured Ti–Ni shape-memory alloy , 2002 .

[23]  C. M. Wayman,et al.  Shape-Memory Materials , 2018 .

[24]  Zhiqiang Li,et al.  Phase transformation in superelastic NiTi polycrystalline micro-tubes under tension and torsion––from localization to homogeneous deformation , 2002 .