Stability of microstructures for some martensitic transformations

Y. Efendiev; M. Luskin

doi:10.1016/S0895-7177(01)00133-9

Stability of microstructures for some martensitic transformations

Y. Efendiev^*, M. Luskin

^*Corresponding author for this work

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

2 Scopus citations

Abstract

We analyze the stability of laminated microstructure for martensitic crystals that undergo cubic to trigonal, orthorhombic to triclinic, and trigonal to monoclinic transformations. We show that the microstructure is unique and stable for all laminates except when the lattice parameters satisfy certain identities.

Original language	English (US)
Pages (from-to)	1289-1305
Number of pages	17
Journal	Mathematical and Computer Modelling
Volume	34
Issue number	12-13
DOIs	https://doi.org/10.1016/S0895-7177(01)00133-9
State	Published - Nov 5 2001
Externally published	Yes

Keywords

Error estimate
Finite element
Martensitic transformation
Microstructure
Nonconvex variational problem
Simple laminate
Volume fraction
Young measure

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications

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10.1016/S0895-7177(01)00133-9

Cite this

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title = "Stability of microstructures for some martensitic transformations",

abstract = "We analyze the stability of laminated microstructure for martensitic crystals that undergo cubic to trigonal, orthorhombic to triclinic, and trigonal to monoclinic transformations. We show that the microstructure is unique and stable for all laminates except when the lattice parameters satisfy certain identities.",

keywords = "Error estimate, Finite element, Martensitic transformation, Microstructure, Nonconvex variational problem, Simple laminate, Volume fraction, Young measure",

author = "Y. Efendiev and M. Luskin",

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T1 - Stability of microstructures for some martensitic transformations

AU - Efendiev, Y.

AU - Luskin, M.

PY - 2001/11/5

Y1 - 2001/11/5

N2 - We analyze the stability of laminated microstructure for martensitic crystals that undergo cubic to trigonal, orthorhombic to triclinic, and trigonal to monoclinic transformations. We show that the microstructure is unique and stable for all laminates except when the lattice parameters satisfy certain identities.

AB - We analyze the stability of laminated microstructure for martensitic crystals that undergo cubic to trigonal, orthorhombic to triclinic, and trigonal to monoclinic transformations. We show that the microstructure is unique and stable for all laminates except when the lattice parameters satisfy certain identities.

KW - Error estimate

KW - Finite element

KW - Martensitic transformation

KW - Microstructure

KW - Nonconvex variational problem

KW - Simple laminate

KW - Volume fraction

KW - Young measure

UR - http://www.scopus.com/inward/record.url?scp=0035813978&partnerID=8YFLogxK

U2 - 10.1016/S0895-7177(01)00133-9

DO - 10.1016/S0895-7177(01)00133-9

M3 - Article

AN - SCOPUS:0035813978

SN - 0895-7177

VL - 34

SP - 1289

EP - 1305

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 12-13

ER -

Stability of microstructures for some martensitic transformations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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