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- W2134069905 abstract "A common approach in modeling martensitic phase transitions in the framework of continuum mechanics involves a nonconvex energy. This paper analyzes the influence of the spinodal region, or the region where the energy density is concave, on the resulting equilibria. We compare a one-dimensional model with a degenerate spinodal region to models with a finite spinodal region. In all models we consider an elastic bar with a nonconvex energy placed on a rigid elastic foundation, to mimic elastic interactions between different phases in higher dimensions. Interfacial energy is modeled by a strain-gradient term. We find that when the spinodal region is small, global minima are not affected, and the minimum energy as a function of the overall strain exhibits nonsmooth oscillations associated with sudden finite phase nucleation. However, a sufficiently wide spinodal region results in the partial smoothening of the global minimum energy and infinitesimal phase nucleation in the interior of the bar. This involves gradual growth of a pretransitional nucleus with strain in the spinodal region. We show a hysteresis path using an energetic strategy of switching between branches of local minima." @default.
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- W2134069905 date "1998-04-01" @default.
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- W2134069905 title "The role of the spinodal region in one-dimensional martensitic phase transitions" @default.
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- W2134069905 doi "https://doi.org/10.1016/s0167-2789(97)00224-8" @default.
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