Asymptotic analysis of hierarchical martensitic microstructure

Pierluigi Cesana; Marcel Porta; Turab Lookman

doi:10.1016/j.jmps.2014.08.001

Asymptotic analysis of hierarchical martensitic microstructure

Pierluigi Cesana
, Marcel Porta
, Turab Lookman

Los Alamos National Laboratory Theoretical Division

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

12 Scopus citations

Abstract

We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly compute the energy cost and associated displacement field within linearized elasticity by enforcing geometric compatibility of strains across interfaces of the three-phase mixture of distortions (variants) in the microstructure. We prove that the mechanical deformation is purely elastic and discuss the behavior of the system close to the origin.

Original language	English
Pages (from-to)	174-192
Number of pages	19
Journal	Journal of the Mechanics and Physics of Solids
Volume	72
DOIs	https://doi.org/10.1016/j.jmps.2014.08.001
State	Published - 1 Dec 2014
Externally published	Yes

Keywords

Asymptotic analysis
Microstructures
Phase transformation
Strain compatibility
Variational calculus

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10.1016/j.jmps.2014.08.001

Cite this

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abstract = "We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly compute the energy cost and associated displacement field within linearized elasticity by enforcing geometric compatibility of strains across interfaces of the three-phase mixture of distortions (variants) in the microstructure. We prove that the mechanical deformation is purely elastic and discuss the behavior of the system close to the origin.",

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author = "Pierluigi Cesana and Marcel Porta and Turab Lookman",

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AU - Cesana, Pierluigi

AU - Porta, Marcel

AU - Lookman, Turab

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N2 - We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly compute the energy cost and associated displacement field within linearized elasticity by enforcing geometric compatibility of strains across interfaces of the three-phase mixture of distortions (variants) in the microstructure. We prove that the mechanical deformation is purely elastic and discuss the behavior of the system close to the origin.

AB - We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly compute the energy cost and associated displacement field within linearized elasticity by enforcing geometric compatibility of strains across interfaces of the three-phase mixture of distortions (variants) in the microstructure. We prove that the mechanical deformation is purely elastic and discuss the behavior of the system close to the origin.

KW - Asymptotic analysis

KW - Microstructures

KW - Phase transformation

KW - Strain compatibility

KW - Variational calculus

UR - https://www.scopus.com/pages/publications/84908404736

U2 - 10.1016/j.jmps.2014.08.001

DO - 10.1016/j.jmps.2014.08.001

M3 - 文章

AN - SCOPUS:84908404736

SN - 0022-5096

VL - 72

SP - 174

EP - 192

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

ER -

Asymptotic analysis of hierarchical martensitic microstructure

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Keywords

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