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Martensitic phase transitions with surface effects

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Abstract

A model of martensitic phase transitions is presented that is capable of accounting for a variety of surface effects associated with the localized interaction of coexisting phases of a material. Such phenomena are thought to play a critical role in determining the size, shape and stability of nucleated embryos as well as to affect the conditions under which nucleation occurs. Attention is restricted to transitions that are mechanically induced, and the model does not account for temperature effects. Materials that undergo martensitic phase changes are modeled as hyperelastic in both the bulk and the interface. The characterization of such bodies is examined in detail, and a representation theorem is presented for isotropic, hyperelastic interfaces in terms of two scalar invariants associated with the deformation of the interface.

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Author notes

  1. Mark Lusk

    Present address: Dept. of Electrical and Computer Engineering, Iowa State University, 50011, Ames, IA, USA

Authors and Affiliations

  1. Division of Engineering and Applied Science, California Institute of Technology, 91125, Pasadena, CA, USA

    Mark Lusk

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Lusk, M. Martensitic phase transitions with surface effects. J Elasticity 34, 191–227 (1994). https://doi.org/10.1007/BF00040764

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  • DOI: https://doi.org/10.1007/BF00040764

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