Stability of thermally-induced martensitic transformations in bi-atomic crystals

Ryan S. Elliott; John A. Shaw; Nicolas Triantafyllidis

doi:10.1016/S0022-5096(02)00012-1

Stability of thermally-induced martensitic transformations in bi-atomic crystals

Ryan S. Elliott, John A. Shaw, Nicolas Triantafyllidis

Aerospace Engineering and Mechanics

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

Stability of thermally-induced martensitic transformations in bi-atomic crystals was discussed. Equilibrium solutions and their stability were examined as a function of temperature for crystals under no external stress. The problem was solved numerically, and an asymptotic theory was employed to guide the numerical solution near multiple bifurcation points. Results showed a hysteretic transformation in which the CsCl structure was stable at high temperatures and the NaCl structure was stable at low temperatures.

Original language	English (US)
Pages (from-to)	2463-2493
Number of pages	31
Journal	Journal of the Mechanics and Physics of Solids
Volume	50
Issue number	11
DOIs	https://doi.org/10.1016/S0022-5096(02)00012-1
State	Published - Nov 2002

Bibliographical note

Funding Information:
The financial support from a Computational Science Graduate Fellowship from the Department of Energy (for R. Elliott), a CAREER grant from the National Science Foundation (for J. Shaw), and a 1998 fellowship from the École Polytechnique (for N. Triantafyllidis) are acknowledged with thanks.

Keywords

A. Phase transformation
A. Thermomechanical processes
B. Finite strain
C. Asymptotic analysis
C. Stability and bifurcation

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title = "Stability of thermally-induced martensitic transformations in bi-atomic crystals",

abstract = "Stability of thermally-induced martensitic transformations in bi-atomic crystals was discussed. Equilibrium solutions and their stability were examined as a function of temperature for crystals under no external stress. The problem was solved numerically, and an asymptotic theory was employed to guide the numerical solution near multiple bifurcation points. Results showed a hysteretic transformation in which the CsCl structure was stable at high temperatures and the NaCl structure was stable at low temperatures.",

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note = "Funding Information: The financial support from a Computational Science Graduate Fellowship from the Department of Energy (for R. Elliott), a CAREER grant from the National Science Foundation (for J. Shaw), and a 1998 fellowship from the {\'E}cole Polytechnique (for N. Triantafyllidis) are acknowledged with thanks. ",

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AU - Shaw, John A.

AU - Triantafyllidis, Nicolas

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PY - 2002/11

Y1 - 2002/11

N2 - Stability of thermally-induced martensitic transformations in bi-atomic crystals was discussed. Equilibrium solutions and their stability were examined as a function of temperature for crystals under no external stress. The problem was solved numerically, and an asymptotic theory was employed to guide the numerical solution near multiple bifurcation points. Results showed a hysteretic transformation in which the CsCl structure was stable at high temperatures and the NaCl structure was stable at low temperatures.

AB - Stability of thermally-induced martensitic transformations in bi-atomic crystals was discussed. Equilibrium solutions and their stability were examined as a function of temperature for crystals under no external stress. The problem was solved numerically, and an asymptotic theory was employed to guide the numerical solution near multiple bifurcation points. Results showed a hysteretic transformation in which the CsCl structure was stable at high temperatures and the NaCl structure was stable at low temperatures.

KW - A. Phase transformation

KW - A. Thermomechanical processes

KW - B. Finite strain

KW - C. Asymptotic analysis

KW - C. Stability and bifurcation

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Stability of thermally-induced martensitic transformations in bi-atomic crystals

Abstract

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Keywords

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