No Cover Image

Journal article 1104 views 150 downloads

A novel mixed and energy‐momentum consistent framework for coupled nonlinear thermo‐electro‐elastodynamics

Marlon Franke Orcid Logo, Felix Zähringer, Moritz Hille, Rogelio Ortigosa, Peter Betsch Orcid Logo, Antonio Gil Orcid Logo

International Journal for Numerical Methods in Engineering, Volume: 124, Issue: 10, Pages: 2135 - 2170

Swansea University Author: Antonio Gil Orcid Logo

  • 62464.pdf

    PDF | Version of Record

    © 2023 The Authors. This is an open access article under the terms of the Creative Commons Attribution License.

    Download (3.78MB)

Check full text

DOI (Published version): 10.1002/nme.7209

Abstract

A novel mixed framework and energy-momentum consistent integration scheme in the field of coupled nonlinear thermo-electro-elastodynamics is proposed. The mixed environment is primarily based on a framework for elastodynamics in the case of poly-convex strain energy functions. For this elastodynamic...

Full description

Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981 1097-0207
Published: Wiley 2023
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa62464
first_indexed 2023-01-27T13:41:35Z
last_indexed 2025-02-13T05:30:26Z
id cronfa62464
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2025-02-12T12:01:47.7843829</datestamp><bib-version>v2</bib-version><id>62464</id><entry>2023-01-27</entry><title>A novel mixed and energy&#x2010;momentum consistent framework for coupled nonlinear thermo&#x2010;electro&#x2010;elastodynamics</title><swanseaauthors><author><sid>1f5666865d1c6de9469f8b7d0d6d30e2</sid><ORCID>0000-0001-7753-1414</ORCID><firstname>Antonio</firstname><surname>Gil</surname><name>Antonio Gil</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2023-01-27</date><deptcode>ACEM</deptcode><abstract>A novel mixed framework and energy-momentum consistent integration scheme in the field of coupled nonlinear thermo-electro-elastodynamics is proposed. The mixed environment is primarily based on a framework for elastodynamics in the case of poly-convex strain energy functions. For this elastodynamic framework, the properties of the so-called tensor cross product are exploited to derive a mixed formulation via a Hu-Washizu type extension of the strain energy function. Afterwards, a general path to incorporate non-potential problems for mixed formulations is demonstrated. To this end, the strong form of the mixed framework is derived and supplemented with the energy balance as well as Maxwell&#x2019;s equations neglecting magnetic and time dependent effects. By additionally choosing an appropriate energy function, this procedure leads to a fully coupled thermo-electro-elastodynamic formulation which benefits from the properties of the underlying mixed framework. In addition, the proposed mixed framework facilitates the design of a new energy-momentum consistent time integration scheme by employing discrete derivatives in the sense of Gonzalez. A one-step integration scheme of second-order accuracy is obtained which is shown to be stable even for large time steps. Eventually, the performance of the novel formulation is demonstrated in several numerical examples.</abstract><type>Journal Article</type><journal>International Journal for Numerical Methods in Engineering</journal><volume>124</volume><journalNumber>10</journalNumber><paginationStart>2135</paginationStart><paginationEnd>2170</paginationEnd><publisher>Wiley</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0029-5981</issnPrint><issnElectronic>1097-0207</issnElectronic><keywords>Nonlinear thermo-electro-elastodynamics, polyconvexity, tensor cross product, non-potential mixed formulation, energy-momentum scheme</keywords><publishedDay>30</publishedDay><publishedMonth>5</publishedMonth><publishedYear>2023</publishedYear><publishedDate>2023-05-30</publishedDate><doi>10.1002/nme.7209</doi><url/><notes/><college>COLLEGE NANME</college><department>Aerospace, Civil, Electrical, and Mechanical Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>ACEM</DepartmentCode><institution>Swansea University</institution><apcterm>Other</apcterm><funders>DFG, German Research Foundation, project number 443238377 21132/SF/19, Fundaci&#xF3;n S&#xE9;neca, Regi&#xF3;n de Murcia Fundaci&#xF3;n S&#xE9;neca, grant 20911/PI/18, and PID2021-125687OA-I00</funders><projectreference/><lastEdited>2025-02-12T12:01:47.7843829</lastEdited><Created>2023-01-27T13:25:14.0714433</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering</level></path><authors><author><firstname>Marlon</firstname><surname>Franke</surname><orcid>0000-0002-6695-6289</orcid><order>1</order></author><author><firstname>Felix</firstname><surname>Z&#xE4;hringer</surname><order>2</order></author><author><firstname>Moritz</firstname><surname>Hille</surname><order>3</order></author><author><firstname>Rogelio</firstname><surname>Ortigosa</surname><order>4</order></author><author><firstname>Peter</firstname><surname>Betsch</surname><orcid>0000-0002-0596-2503</orcid><order>5</order></author><author><firstname>Antonio</firstname><surname>Gil</surname><orcid>0000-0001-7753-1414</orcid><order>6</order></author></authors><documents><document><filename>62464__27674__46a9d4b6775248b18c3f9ac5dff7c518.pdf</filename><originalFilename>62464.pdf</originalFilename><uploaded>2023-06-01T15:27:50.7903871</uploaded><type>Output</type><contentLength>3968503</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>&#xA9; 2023 The Authors. This is an open access article under the terms of the Creative Commons Attribution License.</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>http://creativecommons.org/licenses/by/4.0/</licence></document></documents><OutputDurs/></rfc1807>
spelling 2025-02-12T12:01:47.7843829 v2 62464 2023-01-27 A novel mixed and energy‐momentum consistent framework for coupled nonlinear thermo‐electro‐elastodynamics 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2023-01-27 ACEM A novel mixed framework and energy-momentum consistent integration scheme in the field of coupled nonlinear thermo-electro-elastodynamics is proposed. The mixed environment is primarily based on a framework for elastodynamics in the case of poly-convex strain energy functions. For this elastodynamic framework, the properties of the so-called tensor cross product are exploited to derive a mixed formulation via a Hu-Washizu type extension of the strain energy function. Afterwards, a general path to incorporate non-potential problems for mixed formulations is demonstrated. To this end, the strong form of the mixed framework is derived and supplemented with the energy balance as well as Maxwell’s equations neglecting magnetic and time dependent effects. By additionally choosing an appropriate energy function, this procedure leads to a fully coupled thermo-electro-elastodynamic formulation which benefits from the properties of the underlying mixed framework. In addition, the proposed mixed framework facilitates the design of a new energy-momentum consistent time integration scheme by employing discrete derivatives in the sense of Gonzalez. A one-step integration scheme of second-order accuracy is obtained which is shown to be stable even for large time steps. Eventually, the performance of the novel formulation is demonstrated in several numerical examples. Journal Article International Journal for Numerical Methods in Engineering 124 10 2135 2170 Wiley 0029-5981 1097-0207 Nonlinear thermo-electro-elastodynamics, polyconvexity, tensor cross product, non-potential mixed formulation, energy-momentum scheme 30 5 2023 2023-05-30 10.1002/nme.7209 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University Other DFG, German Research Foundation, project number 443238377 21132/SF/19, Fundación Séneca, Región de Murcia Fundación Séneca, grant 20911/PI/18, and PID2021-125687OA-I00 2025-02-12T12:01:47.7843829 2023-01-27T13:25:14.0714433 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Marlon Franke 0000-0002-6695-6289 1 Felix Zähringer 2 Moritz Hille 3 Rogelio Ortigosa 4 Peter Betsch 0000-0002-0596-2503 5 Antonio Gil 0000-0001-7753-1414 6 62464__27674__46a9d4b6775248b18c3f9ac5dff7c518.pdf 62464.pdf 2023-06-01T15:27:50.7903871 Output 3968503 application/pdf Version of Record true © 2023 The Authors. This is an open access article under the terms of the Creative Commons Attribution License. true eng http://creativecommons.org/licenses/by/4.0/
title A novel mixed and energy‐momentum consistent framework for coupled nonlinear thermo‐electro‐elastodynamics
spellingShingle A novel mixed and energy‐momentum consistent framework for coupled nonlinear thermo‐electro‐elastodynamics
Antonio Gil
title_short A novel mixed and energy‐momentum consistent framework for coupled nonlinear thermo‐electro‐elastodynamics
title_full A novel mixed and energy‐momentum consistent framework for coupled nonlinear thermo‐electro‐elastodynamics
title_fullStr A novel mixed and energy‐momentum consistent framework for coupled nonlinear thermo‐electro‐elastodynamics
title_full_unstemmed A novel mixed and energy‐momentum consistent framework for coupled nonlinear thermo‐electro‐elastodynamics
title_sort A novel mixed and energy‐momentum consistent framework for coupled nonlinear thermo‐electro‐elastodynamics
author_id_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2
author_id_fullname_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
author Antonio Gil
author2 Marlon Franke
Felix Zähringer
Moritz Hille
Rogelio Ortigosa
Peter Betsch
Antonio Gil
format Journal article
container_title International Journal for Numerical Methods in Engineering
container_volume 124
container_issue 10
container_start_page 2135
publishDate 2023
institution Swansea University
issn 0029-5981
1097-0207
doi_str_mv 10.1002/nme.7209
publisher Wiley
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description A novel mixed framework and energy-momentum consistent integration scheme in the field of coupled nonlinear thermo-electro-elastodynamics is proposed. The mixed environment is primarily based on a framework for elastodynamics in the case of poly-convex strain energy functions. For this elastodynamic framework, the properties of the so-called tensor cross product are exploited to derive a mixed formulation via a Hu-Washizu type extension of the strain energy function. Afterwards, a general path to incorporate non-potential problems for mixed formulations is demonstrated. To this end, the strong form of the mixed framework is derived and supplemented with the energy balance as well as Maxwell’s equations neglecting magnetic and time dependent effects. By additionally choosing an appropriate energy function, this procedure leads to a fully coupled thermo-electro-elastodynamic formulation which benefits from the properties of the underlying mixed framework. In addition, the proposed mixed framework facilitates the design of a new energy-momentum consistent time integration scheme by employing discrete derivatives in the sense of Gonzalez. A one-step integration scheme of second-order accuracy is obtained which is shown to be stable even for large time steps. Eventually, the performance of the novel formulation is demonstrated in several numerical examples.
published_date 2023-05-30T05:10:10Z
_version_ 1851096732251717632
score 11.089386

Similar Items