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Constitutive modelling of mechanically induced martensitic transformations

Daniel de Bortoli, Fauzan Adziman, Eduardo de Souza Neto De Souza Neto Orcid Logo, Francisco M. Andrade Pires

Engineering Computations, Volume: 35, Issue: 2, Pages: 772 - 799

Swansea University Author: Eduardo de Souza Neto De Souza Neto Orcid Logo

Abstract

PurposeThe purpose of this work is to apply a recently proposed constitutive model for mechanically induced martensitic transformations to the prediction of transformation loci. Additionally, this study aims to elucidate if a stress-assisted criterion can account for transformations in the so-called...

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Published in: Engineering Computations
ISSN: 0264-4401
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa40134
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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2018-09-17T14:02:22.7475673</datestamp><bib-version>v2</bib-version><id>40134</id><entry>2018-05-14</entry><title>Constitutive modelling of mechanically induced martensitic transformations</title><swanseaauthors><author><sid>91568dee6643b7d350f0d5e8edb7b46a</sid><ORCID>0000-0002-9378-4590</ORCID><firstname>Eduardo de Souza Neto</firstname><surname>De Souza Neto</surname><name>Eduardo de Souza Neto De Souza Neto</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2018-05-14</date><deptcode>CIVL</deptcode><abstract>PurposeThe purpose of this work is to apply a recently proposed constitutive model for mechanically induced martensitic transformations to the prediction of transformation loci. Additionally, this study aims to elucidate if a stress-assisted criterion can account for transformations in the so-called strain-induced regime.Design/methodology/approachThe model is derived by generalising the stress-based criterion of Patel and Cohen (1953), relying on lattice information obtained using the Phenomenological Theory of Martensite Crystallography. Transformation multipliers (cf. plastic multipliers) are introduced, from which the martensite volume fraction evolution ensues. The associated transformation functions provide a variant selection mechanism. Austenite plasticity follows a classical single crystal formulation, to account for transformations in the strain-induced regime. The resulting model is incorporated into a fully implicit RVE-based computational homogenisation finite element code.FindingsResults show good agreement with experimental data for a meta-stable austenitic stainless steel. In particular, the transformation locus is well reproduced, even in a material with considerable slip plasticity at the martensite onset, corroborating the hypothesis that an energy-based criterion can account for transformations in both stress-assisted and strain-induced regimes.Originality/valueA recently developed constitutive model for mechanically induced martensitic transformations is further assessed and validated. Its formulation is fundamentally based on a physical metallurgical mechanism and derived in a thermodynamically consistent way, inheriting a consistent mechanical dissipation. This model draws on a reduced number of phenomenological elements and is a step towards the fully predictive modelling of materials that exhibit such phenomena.</abstract><type>Journal Article</type><journal>Engineering Computations</journal><volume>35</volume><journalNumber>2</journalNumber><paginationStart>772</paginationStart><paginationEnd>799</paginationEnd><publisher/><issnPrint>0264-4401</issnPrint><keywords>Crystal plasticity, Computational homogenization, Martensitic transformations, Mechanically induced, Strain-induced, Stress-assisted</keywords><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2018</publishedYear><publishedDate>2018-12-31</publishedDate><doi>10.1108/EC-03-2017-0087</doi><url/><notes/><college>COLLEGE NANME</college><department>Civil Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>CIVL</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2018-09-17T14:02:22.7475673</lastEdited><Created>2018-05-14T09:46:14.9914252</Created><path><level id="1">College of Engineering</level><level id="2">Engineering</level></path><authors><author><firstname>Daniel</firstname><surname>de Bortoli</surname><order>1</order></author><author><firstname>Fauzan</firstname><surname>Adziman</surname><order>2</order></author><author><firstname>Eduardo de Souza Neto</firstname><surname>De Souza Neto</surname><orcid>0000-0002-9378-4590</orcid><order>3</order></author><author><firstname>Francisco M. Andrade</firstname><surname>Pires</surname><order>4</order></author></authors><documents><document><filename>0040134-13072018135959.pdf</filename><originalFilename>debortoli2018.pdf</originalFilename><uploaded>2018-07-13T13:59:59.5470000</uploaded><type>Output</type><contentLength>10395956</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2018-07-13T00:00:00.0000000</embargoDate><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling 2018-09-17T14:02:22.7475673 v2 40134 2018-05-14 Constitutive modelling of mechanically induced martensitic transformations 91568dee6643b7d350f0d5e8edb7b46a 0000-0002-9378-4590 Eduardo de Souza Neto De Souza Neto Eduardo de Souza Neto De Souza Neto true false 2018-05-14 CIVL PurposeThe purpose of this work is to apply a recently proposed constitutive model for mechanically induced martensitic transformations to the prediction of transformation loci. Additionally, this study aims to elucidate if a stress-assisted criterion can account for transformations in the so-called strain-induced regime.Design/methodology/approachThe model is derived by generalising the stress-based criterion of Patel and Cohen (1953), relying on lattice information obtained using the Phenomenological Theory of Martensite Crystallography. Transformation multipliers (cf. plastic multipliers) are introduced, from which the martensite volume fraction evolution ensues. The associated transformation functions provide a variant selection mechanism. Austenite plasticity follows a classical single crystal formulation, to account for transformations in the strain-induced regime. The resulting model is incorporated into a fully implicit RVE-based computational homogenisation finite element code.FindingsResults show good agreement with experimental data for a meta-stable austenitic stainless steel. In particular, the transformation locus is well reproduced, even in a material with considerable slip plasticity at the martensite onset, corroborating the hypothesis that an energy-based criterion can account for transformations in both stress-assisted and strain-induced regimes.Originality/valueA recently developed constitutive model for mechanically induced martensitic transformations is further assessed and validated. Its formulation is fundamentally based on a physical metallurgical mechanism and derived in a thermodynamically consistent way, inheriting a consistent mechanical dissipation. This model draws on a reduced number of phenomenological elements and is a step towards the fully predictive modelling of materials that exhibit such phenomena. Journal Article Engineering Computations 35 2 772 799 0264-4401 Crystal plasticity, Computational homogenization, Martensitic transformations, Mechanically induced, Strain-induced, Stress-assisted 31 12 2018 2018-12-31 10.1108/EC-03-2017-0087 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2018-09-17T14:02:22.7475673 2018-05-14T09:46:14.9914252 College of Engineering Engineering Daniel de Bortoli 1 Fauzan Adziman 2 Eduardo de Souza Neto De Souza Neto 0000-0002-9378-4590 3 Francisco M. Andrade Pires 4 0040134-13072018135959.pdf debortoli2018.pdf 2018-07-13T13:59:59.5470000 Output 10395956 application/pdf Accepted Manuscript true 2018-07-13T00:00:00.0000000 true eng
title Constitutive modelling of mechanically induced martensitic transformations
spellingShingle Constitutive modelling of mechanically induced martensitic transformations
Eduardo de Souza Neto De Souza Neto
title_short Constitutive modelling of mechanically induced martensitic transformations
title_full Constitutive modelling of mechanically induced martensitic transformations
title_fullStr Constitutive modelling of mechanically induced martensitic transformations
title_full_unstemmed Constitutive modelling of mechanically induced martensitic transformations
title_sort Constitutive modelling of mechanically induced martensitic transformations
author_id_str_mv 91568dee6643b7d350f0d5e8edb7b46a
author_id_fullname_str_mv 91568dee6643b7d350f0d5e8edb7b46a_***_Eduardo de Souza Neto De Souza Neto
author Eduardo de Souza Neto De Souza Neto
author2 Daniel de Bortoli
Fauzan Adziman
Eduardo de Souza Neto De Souza Neto
Francisco M. Andrade Pires
format Journal article
container_title Engineering Computations
container_volume 35
container_issue 2
container_start_page 772
publishDate 2018
institution Swansea University
issn 0264-4401
doi_str_mv 10.1108/EC-03-2017-0087
college_str College of Engineering
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hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 1
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description PurposeThe purpose of this work is to apply a recently proposed constitutive model for mechanically induced martensitic transformations to the prediction of transformation loci. Additionally, this study aims to elucidate if a stress-assisted criterion can account for transformations in the so-called strain-induced regime.Design/methodology/approachThe model is derived by generalising the stress-based criterion of Patel and Cohen (1953), relying on lattice information obtained using the Phenomenological Theory of Martensite Crystallography. Transformation multipliers (cf. plastic multipliers) are introduced, from which the martensite volume fraction evolution ensues. The associated transformation functions provide a variant selection mechanism. Austenite plasticity follows a classical single crystal formulation, to account for transformations in the strain-induced regime. The resulting model is incorporated into a fully implicit RVE-based computational homogenisation finite element code.FindingsResults show good agreement with experimental data for a meta-stable austenitic stainless steel. In particular, the transformation locus is well reproduced, even in a material with considerable slip plasticity at the martensite onset, corroborating the hypothesis that an energy-based criterion can account for transformations in both stress-assisted and strain-induced regimes.Originality/valueA recently developed constitutive model for mechanically induced martensitic transformations is further assessed and validated. Its formulation is fundamentally based on a physical metallurgical mechanism and derived in a thermodynamically consistent way, inheriting a consistent mechanical dissipation. This model draws on a reduced number of phenomenological elements and is a step towards the fully predictive modelling of materials that exhibit such phenomena.
published_date 2018-12-31T04:07:02Z
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