Jog my shape memory: Dynamics as a challenge in mathematical materials science

Johannes Zimmer

doi:10.1098/rsta.2006.1898

Jog my shape memory: Dynamics as a challenge in mathematical materials science

Johannes Zimmer

University of Bath, Department of Mathematical Sciences

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

2 Scopus citations

Abstract

Many complex phenomena in nature exhibit multiple scales. The challenge is to understand how the effects on one scale influence those on another. This review discusses some aspects of a multiscale analysis of martensitic materials as a prominent example of materials that exhibit nuanced structures and surprising implications on various scales. The emphasis is on dynamic issues. Some speculations are offered on future research directions.

Original language	English
Pages (from-to)	3285-3300
Number of pages	16
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	364
Issue number	1849
DOIs	https://doi.org/10.1098/rsta.2006.1898
State	Published - 15 Dec 2006
Externally published	Yes

Keywords

Martensite
Multiscale analysis
Phase transitions

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10.1098/rsta.2006.1898

Cite this

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abstract = "Many complex phenomena in nature exhibit multiple scales. The challenge is to understand how the effects on one scale influence those on another. This review discusses some aspects of a multiscale analysis of martensitic materials as a prominent example of materials that exhibit nuanced structures and surprising implications on various scales. The emphasis is on dynamic issues. Some speculations are offered on future research directions.",

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AB - Many complex phenomena in nature exhibit multiple scales. The challenge is to understand how the effects on one scale influence those on another. This review discusses some aspects of a multiscale analysis of martensitic materials as a prominent example of materials that exhibit nuanced structures and surprising implications on various scales. The emphasis is on dynamic issues. Some speculations are offered on future research directions.

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KW - Multiscale analysis

KW - Phase transitions

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DO - 10.1098/rsta.2006.1898

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SN - 1364-503X

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Jog my shape memory: Dynamics as a challenge in mathematical materials science

Abstract

Keywords

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