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Title: Constitutive Equations for Martensitic Reorientation and The Shape-Memory Effect in Shape-Memory Alloys
Keywords: Martensitic reorientation; Shape-memory alloys; Constitutive behavior; Crystal mechanics; Finite-element analysis; Mechanical testing
Issue Date: 28-Apr-2008
Citation: PAN HAINING (2008-04-28). Constitutive Equations for Martensitic Reorientation and The Shape-Memory Effect in Shape-Memory Alloys. ScholarBank@NUS Repository.
Abstract: A three-dimensional, finite-deformation and crystal-mechanics-based constitutive model for martensitic reorientation, detwinning and austenite-martensite phase transformations in shape-memory alloys has been developed from the basic thermodynamics principles. It has been implemented in the ABAQUS/Explicit (2005) finite element program by writing a user-material subroutine. Representative uniaxial and multi-axial experiments have been conducted on initially-martensitic (a) polycrystalline rod Ti-Ni; (b) polycrystalline sheet Ti-Ni; and (c) single-crystal NiMnGa. These aforementioned experimental results have been well-predicted by the constitutive model and its numerical implementation.Furthermore, experimental stress-strain-temperature responses of the polycrystalline sheet Ti-Ni tested along different directions e.g. rolling direction, transverse direction etc. while undergoing the shape-memory is also well-reproduced by the constitutive equations. Finally, we have also developed an isotropic-plasticity-based constitutive model to describe the martensitic reorientation and shape-memory effect exhibited by shape-memory alloys initially in the martensitic state, and verified it to the aforementioned experiments.
Appears in Collections:Ph.D Theses (Open)

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