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Application of a Variational Self-Consistent Procedure to the Prediction of Deformation Textures in Polycrystals

Gilormini, Pierre / Liu, Yi / Castañeda, Pedro Ponte

Abstract A fundamental problem in the mechanics of materials is the computation of the macroscopic response of polycrystalline aggregates from the properties of their constituent single-crystal grains and the microstructure. In this paper, the nonlinear homogenization method of deBotton and Ponte Castañeda is used to compute “variational” self-consistent estimates for the effective behavior of polycrystals. Earlier papers have detailed the “instantaneous” mechanical response of polycrystals, but the present study focusses on the evolution the crystallographic texture predicted by this procedure.

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Application of a Variational Self-Consistent Procedure to the Prediction of Deformation Textures in Polycrystals

Gilormini, Pierre / Liu, Yi / Castañeda, Pedro Ponte

Abstract A fundamental problem in the mechanics of materials is the computation of the macroscopic response of polycrystalline aggregates from the properties of their constituent single-crystal grains and the microstructure. In this paper, the nonlinear homogenization method of deBotton and Ponte Castañeda is used to compute “variational” self-consistent estimates for the effective behavior of polycrystals. Earlier papers have detailed the “instantaneous” mechanical response of polycrystals, but the present study focusses on the evolution the crystallographic texture predicted by this procedure.

Application of a Variational Self-Consistent Procedure to the Prediction of Deformation Textures in Polycrystals

Gilormini, Pierre / Liu, Yi / Castañeda, Pedro Ponte

Abstract A fundamental problem in the mechanics of materials is the computation of the macroscopic response of polycrystalline aggregates from the properties of their constituent single-crystal grains and the microstructure. In this paper, the nonlinear homogenization method of deBotton and Ponte Castañeda is used to compute “variational” self-consistent estimates for the effective behavior of polycrystals. Earlier papers have detailed the “instantaneous” mechanical response of polycrystals, but the present study focusses on the evolution the crystallographic texture predicted by this procedure.

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Title:

Application of a Variational Self-Consistent Procedure to the Prediction of Deformation Textures in Polycrystals

Contributors:

Gilormini, Pierre (author) / Liu, Yi (author) / Castañeda, Pedro Ponte (author)

Published in:

IUTAM Symposium on Multiscale Modeling and Characterization of Elastic-Inelastic Behavior of Engineering Materials ; 17-24

Solid Mechanics and Its Applications ; 114

Publication date:

2004-01-01

Size:

8 pages

ISBN:

978-90-481-6529-2 , 978-94-017-0483-0

ISSN:

DOI:

https://doi.org/10.1007/978-94-017-0483-0_3

Type of media:

Article/Chapter (Book)

Type of material:

Electronic Resource

Language:

English

Keywords:

polycrystals , textures , variational procedure , self-consistent model Engineering , Theoretical and Applied Mechanics , Characterization and Evaluation of Materials , Mechanics

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