Computational modeling of the martensitic transformation with surface energy

P. Klouček; M. Luskin

doi:10.1016/0895-7177(94)90173-2

Computational modeling of the martensitic transformation with surface energy

P. Klouček, M. Luskin

School of Mathematics

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

20 Scopus citations

Abstract

We propose a numerical model for the dynamics of the austenitic-martensitic transformation which includes the effect of surface energy. Our numerical model uses a nonconforming finite element method to approximate the deformation and a numerical viscosity to stabilize the scheme. We present numerical experiments which demonstrate that the addition of a strain-gradient surface energy results in a more planar austenitic-martensitic interfacial layer.

Original language	English (US)
Pages (from-to)	101-121
Number of pages	21
Journal	Mathematical and Computer Modelling
Volume	20
Issue number	10-11
DOIs	https://doi.org/10.1016/0895-7177(94)90173-2
State	Published - 1994

Bibliographical note

Funding Information:
This work is part of the Transitions and Defects in Ordered Materials Project and was supported in part by the NSF through Grant DMS 911-1572, by the AFOSR through Grant AFOSR-91-0301, by the AR0 through Grants DAAL03-92-G-0003, and DAAL03-89-C-0038 with the AHPCRC at the University of Minnesota, and by a grant from the Minnesota Supercomputer Institute.

Keywords

Austenite
Finite element method
Martensite
Microstructure
Surface energy

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10.1016/0895-7177(94)90173-2

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title = "Computational modeling of the martensitic transformation with surface energy",

abstract = "We propose a numerical model for the dynamics of the austenitic-martensitic transformation which includes the effect of surface energy. Our numerical model uses a nonconforming finite element method to approximate the deformation and a numerical viscosity to stabilize the scheme. We present numerical experiments which demonstrate that the addition of a strain-gradient surface energy results in a more planar austenitic-martensitic interfacial layer.",

keywords = "Austenite, Finite element method, Martensite, Microstructure, Surface energy",

author = "P. Klou{\v c}ek and M. Luskin",

note = "Funding Information: This work is part of the Transitions and Defects in Ordered Materials Project and was supported in part by the NSF through Grant DMS 911-1572, by the AFOSR through Grant AFOSR-91-0301, by the AR0 through Grants DAAL03-92-G-0003, and DAAL03-89-C-0038 with the AHPCRC at the University of Minnesota, and by a grant from the Minnesota Supercomputer Institute.",

year = "1994",

doi = "10.1016/0895-7177(94)90173-2",

language = "English (US)",

volume = "20",

pages = "101--121",

journal = "Mathematical and Computer Modelling",

issn = "0895-7177",

publisher = "Elsevier Limited",

number = "10-11",

}

TY - JOUR

T1 - Computational modeling of the martensitic transformation with surface energy

AU - Klouček, P.

AU - Luskin, M.

N1 - Funding Information: This work is part of the Transitions and Defects in Ordered Materials Project and was supported in part by the NSF through Grant DMS 911-1572, by the AFOSR through Grant AFOSR-91-0301, by the AR0 through Grants DAAL03-92-G-0003, and DAAL03-89-C-0038 with the AHPCRC at the University of Minnesota, and by a grant from the Minnesota Supercomputer Institute.

PY - 1994

Y1 - 1994

N2 - We propose a numerical model for the dynamics of the austenitic-martensitic transformation which includes the effect of surface energy. Our numerical model uses a nonconforming finite element method to approximate the deformation and a numerical viscosity to stabilize the scheme. We present numerical experiments which demonstrate that the addition of a strain-gradient surface energy results in a more planar austenitic-martensitic interfacial layer.

AB - We propose a numerical model for the dynamics of the austenitic-martensitic transformation which includes the effect of surface energy. Our numerical model uses a nonconforming finite element method to approximate the deformation and a numerical viscosity to stabilize the scheme. We present numerical experiments which demonstrate that the addition of a strain-gradient surface energy results in a more planar austenitic-martensitic interfacial layer.

KW - Austenite

KW - Finite element method

KW - Martensite

KW - Microstructure

KW - Surface energy

UR - http://www.scopus.com/inward/record.url?scp=0039079084&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039079084&partnerID=8YFLogxK

U2 - 10.1016/0895-7177(94)90173-2

DO - 10.1016/0895-7177(94)90173-2

M3 - Article

AN - SCOPUS:0039079084

SN - 0895-7177

VL - 20

SP - 101

EP - 121

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 10-11

ER -

Computational modeling of the martensitic transformation with surface energy

Abstract

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Keywords

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