The Computation of Martensitic Microstructure with Piecewise Laminates

Martin Kružík; Mitchell Luskin

doi:10.1023/A:1025360126654

The Computation of Martensitic Microstructure with Piecewise Laminates

Martin Kružík, Mitchell Luskin

Mathematics

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

23 Scopus citations

Abstract

We present a numerical method for the approximation of microstructure in martensitic crystals by piecewise laminates, and we give computational results for several three-dimensional models of martensitic microstructure by using piecewise second-order laminates.

Original language	English (US)
Pages (from-to)	293-308
Number of pages	16
Journal	Journal of Scientific Computing
Volume	19
Issue number	1-3
DOIs	https://doi.org/10.1023/A:1025360126654
State	Published - Dec 2003

Bibliographical note

Funding Information:
This work was supported in part by NSF DMS 95-05077, by NSF DMS-0074043, by AFOSR F49620-98-1-0433, by the Institute for Mathematics and Its Applications, by the Institute for Pure and Applied Mathematics, by the Minnesota Supercomputer Institute, and by GA AV Cˇ R Grant no. A 107 5005.

Keywords

Finite element
Laminate
Martensite
Microstructure
Rank-one convexiflcation

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abstract = "We present a numerical method for the approximation of microstructure in martensitic crystals by piecewise laminates, and we give computational results for several three-dimensional models of martensitic microstructure by using piecewise second-order laminates.",

keywords = "Finite element, Laminate, Martensite, Microstructure, Rank-one convexiflcation",

author = "Martin Kru{\v z}{\'i}k and Mitchell Luskin",

note = "Funding Information: This work was supported in part by NSF DMS 95-05077, by NSF DMS-0074043, by AFOSR F49620-98-1-0433, by the Institute for Mathematics and Its Applications, by the Institute for Pure and Applied Mathematics, by the Minnesota Supercomputer Institute, and by GA AV Cˇ R Grant no. A 107 5005.",

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AU - Luskin, Mitchell

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KW - Microstructure

KW - Rank-one convexiflcation

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