Domain patterns and hysteresis in phase-transforming solids: analysis and numerical simulations of a sharp interface dissipative model via phase-field approximation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F13%3A00216088" target="_blank" >RIV/68407700:21110/13:00216088 - isvavai.cz</a>

Alternative codes found

RIV/67985556:_____/13:00392444

Result on the web

<a href="http://dx.doi.org/10.3934/nhm.2013.8.481" target="_blank" >http://dx.doi.org/10.3934/nhm.2013.8.481</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/nhm.2013.8.481" target="_blank" >10.3934/nhm.2013.8.481</a>

Result language

angličtina

Original language name

Domain patterns and hysteresis in phase-transforming solids: analysis and numerical simulations of a sharp interface dissipative model via phase-field approximation

Original language description

We propose a sharp-interface model which describes rate-independent hysteresis in phase-transforming solids (such as shape memory alloys) by resolving explicitly domain patterns and their dissipative evolution. We show that the governing Gibbs' energy functional is the G-limit of a family of regularized Gibbs' energies obtained through a phase-field approximation. This leads to the convergence of the solution of the quasistatic evolution problem associated with the regularized energy to the one corresponding to the sharp interface model. Based on this convergence result, we propose a numerical scheme which allows us to simulate mechanical experiments for both spatially homogeneous and heterogeneous samples. We use the latter to assess the role that impurities and defects may have in determining the response exhibited by real samples. In particular, our numerical results indicate that small heterogeneities are essential in order to obtain spatially localized nucleation of a new martensi

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Networks and Heterogeneous Media

ISSN

1556-1801

e-ISSN

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Volume of the periodical

8

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

19

Pages from-to

481-499

UT code for WoS article

000319665800003

EID of the result in the Scopus database

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