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An acoustic Riemann solver for large strain computational contact dynamics

Callum J. Runcie, Chun Hean Lee Orcid Logo, Jibran Haider, Antonio Gil Orcid Logo, Javier Bonet

International Journal for Numerical Methods in Engineering, Volume: 123, Issue: 23, Pages: 5700 - 5748

Swansea University Authors: Chun Hean Lee Orcid Logo, Antonio Gil Orcid Logo

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DOI (Published version): 10.1002/nme.7085

Abstract

This paper presents a vertex-centred finite volume algorithm for the explicit dynamic analysis of large strain contact problems. The methodology exploits the use of a system of first order conservation equations written in terms of the linear momentum and a triplet of geometric deformation measures...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981 1097-0207
Published: Wiley 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa60808
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The methodology exploits the use of a system of first order conservation equations written in terms of the linear momentum and a triplet of geometric deformation measures (comprising the deformation gradient tensor, its co-factor and its Jacobian) together with their associated jump conditions. The latter can be used to derive several dynamic contact models ensuring the preservation of hyperbolic characteristic structure across solution discontinuities at the contact interface, a clear advantage over the standard quasi-static contact models where the influence of inertial effects at the contact interface is completely neglected. Taking advantage of the conservative nature of the formalism, both kinetic (traction) and kinematic (velocity) contact interface conditions are explicitly enforced at the fluxes through the use of appropriate jump conditions. Specifically, the kinetic condition is enforced in the usual linear momentum equation, whereas the kinematic condition can now be easily enforced in the geometric conservation equations without requiring a computationally demanding iterative algorithm. Additionally, a Total Variation Diminishing shock capturing technique can be suitably incorporated in order to improve dramatically the performance of the algorithm at the vicinity of shocks. Moreover, and to guarantee stability from the spatial discretisation standpoint, global entropy production is demonstrated through the satisfaction of semi-discrete version of the classical Coleman–Noll procedure expressed in terms of the time rate of the so-called Hamiltonian energy of the system. Finally, a series of numerical examples is examined in order to assess the performance and applicability of the algorithm suitably implemented in OpenFOAM. The knowledge of the potential contact loci between contact interfaces is assumed to be known a priori.</abstract><type>Journal Article</type><journal>International Journal for Numerical Methods in Engineering</journal><volume>123</volume><journalNumber>23</journalNumber><paginationStart>5700</paginationStart><paginationEnd>5748</paginationEnd><publisher>Wiley</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0029-5981</issnPrint><issnElectronic>1097-0207</issnElectronic><keywords>Explicit contact dynamics, Conservation laws, large strain, Riemann solver, OpenFOAM, Shocks</keywords><publishedDay>5</publishedDay><publishedMonth>8</publishedMonth><publishedYear>2022</publishedYear><publishedDate>2022-08-05</publishedDate><doi>10.1002/nme.7085</doi><url/><notes/><college>COLLEGE NANME</college><CollegeCode>COLLEGE CODE</CollegeCode><institution>Swansea University</institution><apcterm/><funders>Runcie and Lee gratefully acknowledge the support provided by the EPSRC Strategic SupportPackage: Engineering of Active Materials by Multiscale/Multiphysics Computational Mechan-ics - EP/R008531/1. Gil and Lee would like to acknowledge the financial support receivedthrough the project Marie Sk lodowska-Curie ITN-EJD ProTechTion, funded by the EuropeanUnion Horizon 2020 research and innovation program with grant number 764636.</funders><projectreference/><lastEdited>2024-07-17T08:47:11.5708938</lastEdited><Created>2022-08-15T08:54:50.5249556</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>Callum J.</firstname><surname>Runcie</surname><order>1</order></author><author><firstname>Chun Hean</firstname><surname>Lee</surname><orcid>0000-0003-1102-3729</orcid><order>2</order></author><author><firstname>Jibran</firstname><surname>Haider</surname><order>3</order></author><author><firstname>Antonio</firstname><surname>Gil</surname><orcid>0000-0001-7753-1414</orcid><order>4</order></author><author><firstname>Javier</firstname><surname>Bonet</surname><order>5</order></author></authors><documents><document><filename>60808__24912__8d80e1edfc734693a6548c83a251ba5b.pdf</filename><originalFilename>60808.pdf</originalFilename><uploaded>2022-08-15T08:59:26.8069349</uploaded><type>Output</type><contentLength>28088753</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2023-08-05T00:00:00.0000000</embargoDate><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling v2 60808 2022-08-15 An acoustic Riemann solver for large strain computational contact dynamics e3024bdeee2dee48376c2a76b7147f2f 0000-0003-1102-3729 Chun Hean Lee Chun Hean Lee true false 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2022-08-15 This paper presents a vertex-centred finite volume algorithm for the explicit dynamic analysis of large strain contact problems. The methodology exploits the use of a system of first order conservation equations written in terms of the linear momentum and a triplet of geometric deformation measures (comprising the deformation gradient tensor, its co-factor and its Jacobian) together with their associated jump conditions. The latter can be used to derive several dynamic contact models ensuring the preservation of hyperbolic characteristic structure across solution discontinuities at the contact interface, a clear advantage over the standard quasi-static contact models where the influence of inertial effects at the contact interface is completely neglected. Taking advantage of the conservative nature of the formalism, both kinetic (traction) and kinematic (velocity) contact interface conditions are explicitly enforced at the fluxes through the use of appropriate jump conditions. Specifically, the kinetic condition is enforced in the usual linear momentum equation, whereas the kinematic condition can now be easily enforced in the geometric conservation equations without requiring a computationally demanding iterative algorithm. Additionally, a Total Variation Diminishing shock capturing technique can be suitably incorporated in order to improve dramatically the performance of the algorithm at the vicinity of shocks. Moreover, and to guarantee stability from the spatial discretisation standpoint, global entropy production is demonstrated through the satisfaction of semi-discrete version of the classical Coleman–Noll procedure expressed in terms of the time rate of the so-called Hamiltonian energy of the system. Finally, a series of numerical examples is examined in order to assess the performance and applicability of the algorithm suitably implemented in OpenFOAM. The knowledge of the potential contact loci between contact interfaces is assumed to be known a priori. Journal Article International Journal for Numerical Methods in Engineering 123 23 5700 5748 Wiley 0029-5981 1097-0207 Explicit contact dynamics, Conservation laws, large strain, Riemann solver, OpenFOAM, Shocks 5 8 2022 2022-08-05 10.1002/nme.7085 COLLEGE NANME COLLEGE CODE Swansea University Runcie and Lee gratefully acknowledge the support provided by the EPSRC Strategic SupportPackage: Engineering of Active Materials by Multiscale/Multiphysics Computational Mechan-ics - EP/R008531/1. Gil and Lee would like to acknowledge the financial support receivedthrough the project Marie Sk lodowska-Curie ITN-EJD ProTechTion, funded by the EuropeanUnion Horizon 2020 research and innovation program with grant number 764636. 2024-07-17T08:47:11.5708938 2022-08-15T08:54:50.5249556 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Callum J. Runcie 1 Chun Hean Lee 0000-0003-1102-3729 2 Jibran Haider 3 Antonio Gil 0000-0001-7753-1414 4 Javier Bonet 5 60808__24912__8d80e1edfc734693a6548c83a251ba5b.pdf 60808.pdf 2022-08-15T08:59:26.8069349 Output 28088753 application/pdf Accepted Manuscript true 2023-08-05T00:00:00.0000000 true eng
title An acoustic Riemann solver for large strain computational contact dynamics
spellingShingle An acoustic Riemann solver for large strain computational contact dynamics
Chun Hean Lee
Antonio Gil
title_short An acoustic Riemann solver for large strain computational contact dynamics
title_full An acoustic Riemann solver for large strain computational contact dynamics
title_fullStr An acoustic Riemann solver for large strain computational contact dynamics
title_full_unstemmed An acoustic Riemann solver for large strain computational contact dynamics
title_sort An acoustic Riemann solver for large strain computational contact dynamics
author_id_str_mv e3024bdeee2dee48376c2a76b7147f2f
1f5666865d1c6de9469f8b7d0d6d30e2
author_id_fullname_str_mv e3024bdeee2dee48376c2a76b7147f2f_***_Chun Hean Lee
1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
author Chun Hean Lee
Antonio Gil
author2 Callum J. Runcie
Chun Hean Lee
Jibran Haider
Antonio Gil
Javier Bonet
format Journal article
container_title International Journal for Numerical Methods in Engineering
container_volume 123
container_issue 23
container_start_page 5700
publishDate 2022
institution Swansea University
issn 0029-5981
1097-0207
doi_str_mv 10.1002/nme.7085
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 This paper presents a vertex-centred finite volume algorithm for the explicit dynamic analysis of large strain contact problems. The methodology exploits the use of a system of first order conservation equations written in terms of the linear momentum and a triplet of geometric deformation measures (comprising the deformation gradient tensor, its co-factor and its Jacobian) together with their associated jump conditions. The latter can be used to derive several dynamic contact models ensuring the preservation of hyperbolic characteristic structure across solution discontinuities at the contact interface, a clear advantage over the standard quasi-static contact models where the influence of inertial effects at the contact interface is completely neglected. Taking advantage of the conservative nature of the formalism, both kinetic (traction) and kinematic (velocity) contact interface conditions are explicitly enforced at the fluxes through the use of appropriate jump conditions. Specifically, the kinetic condition is enforced in the usual linear momentum equation, whereas the kinematic condition can now be easily enforced in the geometric conservation equations without requiring a computationally demanding iterative algorithm. Additionally, a Total Variation Diminishing shock capturing technique can be suitably incorporated in order to improve dramatically the performance of the algorithm at the vicinity of shocks. Moreover, and to guarantee stability from the spatial discretisation standpoint, global entropy production is demonstrated through the satisfaction of semi-discrete version of the classical Coleman–Noll procedure expressed in terms of the time rate of the so-called Hamiltonian energy of the system. Finally, a series of numerical examples is examined in order to assess the performance and applicability of the algorithm suitably implemented in OpenFOAM. The knowledge of the potential contact loci between contact interfaces is assumed to be known a priori.
published_date 2022-08-05T08:47:11Z
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score 10.612332

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