1,689 research outputs found

    Shape Memory Alloy Nanostructures With Coupled Dynamic Thermo-Mechanical Effects

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    Employing the Ginzburg-Landau phase-field theory, a new coupled dynamic thermo-mechanical 3D model has been proposed for modeling the cubic-to-tetragonal martensitic transformations in shape memory alloy (SMA) nanostructures. The stress-induced phase transformations and thermo-mechanical behavior of nanostructured SMAs have been investigated. The mechanical and thermal hysteresis phenomena, local non-uniform phase transformations and corresponding non-uniform temperature and deformations distributions are captured successfully using the developed model. The predicted microstructure evolution qualitatively matches with the experimental observations. The developed coupled dynamic model has provided a better understanding of underlying martensitic transformation mechanisms in SMAs, as well as their effect on the thermo-mechanical behavior of nanostructures.Comment: 8 pages, 3 figure

    Mathematical models of martensitic microstructure

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    Martensitic microstructures are studied using variational models based on nonlinear elasticity. Some relevant mathematical tools from nonlinear analysis are described, and applications given to austenite-martensite interfaces and related topics

    Modelling of Thin Films of Shape-Memory Alloys

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    After a brief introduction to the physical and mathematical problem related—not only—to shape-memory alloys and a review of different variational models for thin martensitic films, a numerical approach based on the first laminate is proposed, followed by computational experiments
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