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A thermodynamic theory for dislocation cell formation and misorientation in metals

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A thermodynamic theory for dislocation cell formation and misorientation in metals. / Galindo-Nava, E. I.; Rivera-Díaz-Del-Castillo, P. E.J.
In: Acta Materialia, Vol. 60, No. 11, 06.2012, p. 4370-4378.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Galindo-Nava, EI & Rivera-Díaz-Del-Castillo, PEJ 2012, 'A thermodynamic theory for dislocation cell formation and misorientation in metals', Acta Materialia, vol. 60, no. 11, pp. 4370-4378. https://doi.org/10.1016/j.actamat.2012.05.003

APA

Galindo-Nava, E. I., & Rivera-Díaz-Del-Castillo, P. E. J. (2012). A thermodynamic theory for dislocation cell formation and misorientation in metals. Acta Materialia, 60(11), 4370-4378. https://doi.org/10.1016/j.actamat.2012.05.003

Vancouver

Galindo-Nava EI, Rivera-Díaz-Del-Castillo PEJ. A thermodynamic theory for dislocation cell formation and misorientation in metals. Acta Materialia. 2012 Jun;60(11):4370-4378. doi: 10.1016/j.actamat.2012.05.003

Author

Galindo-Nava, E. I. ; Rivera-Díaz-Del-Castillo, P. E.J. / A thermodynamic theory for dislocation cell formation and misorientation in metals. In: Acta Materialia. 2012 ; Vol. 60, No. 11. pp. 4370-4378.

Bibtex

@article{79dc75b3a8474fc9a11de9afa2ec9454,
title = "A thermodynamic theory for dislocation cell formation and misorientation in metals",
abstract = "Expressions for obtaining the dislocation cell size and misorientation angle evolution as functions of strain, strain rate and temperature are presented. The basis of the theory is to express the cell formation energy as a set of dislocation partials, which is equated to the energy of the dislocation forest in the non-cellular material plus the dislocation slip energy to form cellular structures. The latter is expressed in terms of the statistical entropy for dislocation slip. The Young-Laplace equation is applied to obtain the cell misorientation angle at stages III and IV of deformation. This equation is also applied to obtain an expression for the dislocation density evolution at stage IV. The theory is applied to the deformation of Cu, Al and Ni, from low to high temperature conditions and at various strain rates, describing well the cell properties and the corresponding stress-strain curves.",
keywords = "Dislocation theory, Modelling, Plastic deformation, Statistical mechanics, Subgrain growth",
author = "Galindo-Nava, {E. I.} and Rivera-D{\'i}az-Del-Castillo, {P. E.J.}",
year = "2012",
month = jun,
doi = "10.1016/j.actamat.2012.05.003",
language = "English",
volume = "60",
pages = "4370--4378",
journal = "Acta Materialia",
issn = "1359-6454",
publisher = "PERGAMON-ELSEVIER SCIENCE LTD",
number = "11",

}

RIS

TY - JOUR

T1 - A thermodynamic theory for dislocation cell formation and misorientation in metals

AU - Galindo-Nava, E. I.

AU - Rivera-Díaz-Del-Castillo, P. E.J.

PY - 2012/6

Y1 - 2012/6

N2 - Expressions for obtaining the dislocation cell size and misorientation angle evolution as functions of strain, strain rate and temperature are presented. The basis of the theory is to express the cell formation energy as a set of dislocation partials, which is equated to the energy of the dislocation forest in the non-cellular material plus the dislocation slip energy to form cellular structures. The latter is expressed in terms of the statistical entropy for dislocation slip. The Young-Laplace equation is applied to obtain the cell misorientation angle at stages III and IV of deformation. This equation is also applied to obtain an expression for the dislocation density evolution at stage IV. The theory is applied to the deformation of Cu, Al and Ni, from low to high temperature conditions and at various strain rates, describing well the cell properties and the corresponding stress-strain curves.

AB - Expressions for obtaining the dislocation cell size and misorientation angle evolution as functions of strain, strain rate and temperature are presented. The basis of the theory is to express the cell formation energy as a set of dislocation partials, which is equated to the energy of the dislocation forest in the non-cellular material plus the dislocation slip energy to form cellular structures. The latter is expressed in terms of the statistical entropy for dislocation slip. The Young-Laplace equation is applied to obtain the cell misorientation angle at stages III and IV of deformation. This equation is also applied to obtain an expression for the dislocation density evolution at stage IV. The theory is applied to the deformation of Cu, Al and Ni, from low to high temperature conditions and at various strain rates, describing well the cell properties and the corresponding stress-strain curves.

KW - Dislocation theory

KW - Modelling

KW - Plastic deformation

KW - Statistical mechanics

KW - Subgrain growth

U2 - 10.1016/j.actamat.2012.05.003

DO - 10.1016/j.actamat.2012.05.003

M3 - Journal article

AN - SCOPUS:84861813354

VL - 60

SP - 4370

EP - 4378

JO - Acta Materialia

JF - Acta Materialia

SN - 1359-6454

IS - 11

ER -