An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity

Lee, Chun Hean; De, Paulo Refachinho; Gil, Antonio; Giacomini, Matteo; Bonet, Javier

doi:10.1007/s40571-023-00564-3

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An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity

Chun Hean Lee

, Paulo Refachinho De Campos, Antonio Gil

, Matteo Giacomini, Javier Bonet

Computational Particle Mechanics, Volume: 10, Issue: 6, Pages: 1493 - 1531

Swansea University Authors: Chun Hean Lee , Paulo Refachinho De Campos, Antonio Gil

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DOI (Published version): 10.1007/s40571-023-00564-3

Abstract

This paper introduces a novel upwind Updated Reference Lagrangian Smoothed Particle Hydrodynamics (SPH) algorithm for the numerical simulation of large strain thermo-elasticity and thermo-visco-plasticity. The deformation process is described via a system of first-order hyperbolic conservation laws...

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Published in:	Computational Particle Mechanics
ISSN:	2196-4378 2196-4386
Published:	Springer Science and Business Media LLC 2023
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa62595

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last_indexed	2024-11-14T12:21:15Z
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The deformation process is described via a system of first-order hyperbolic conservation laws expressed in referential description, chosen to be an intermediate configuration of the deformation. The linear momentum, the three incremental geometric strains measures (between referential and spatial domains), and the entropy density of the system are treated as conservation variables of this mixed coupled approach, thus extending the previous work of the authors [1] in the context of isothermal elasticity and elasto-plasticity. To guarantee stability from the SPH discretisation standpoint, appropriate entropy-stable up-winding stabilisation is suitably designed and presented. This is demonstrated via the use of the Ballistic free energy of the coupled system (also known as Lyapunov function), to ensure the satisfaction of numerical entropy production. An extensive set of numerical examples is examined in order to assess the applicability and performance of the algorithm. It is shown that the overall algorithm eliminates the appearance of spurious modes (such as hour-glassing and non-physical pressure fluctuations) in the solution, typical limitations observed in the classical Updated Lagragian SPH framework.</abstract><type>Journal Article</type><journal>Computational Particle Mechanics</journal><volume>10</volume><journalNumber>6</journalNumber><paginationStart>1493</paginationStart><paginationEnd>1531</paginationEnd><publisher>Springer Science and Business Media LLC</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>2196-4378</issnPrint><issnElectronic>2196-4386</issnElectronic><keywords>Conservation laws, SPH, Riemann Solver, Explicit dynamics, Thermo-elasticity, Visco-plasticity</keywords><publishedDay>1</publishedDay><publishedMonth>11</publishedMonth><publishedYear>2023</publishedYear><publishedDate>2023-11-01</publishedDate><doi>10.1007/s40571-023-00564-3</doi><url/><notes/><college>COLLEGE NANME</college><CollegeCode>COLLEGE CODE</CollegeCode><institution>Swansea University</institution><apcterm/><funders>Lee gratefully acknowledge the support provided by the EPSRC Strategic Support Package: Engineering of Active Materials by Multiscale/Multiphysics Computational Mechanics - EP/R008531/1. 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spelling	2024-09-16T16:38:22.6402989 v2 62595 2023-02-07 An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity e3024bdeee2dee48376c2a76b7147f2f 0000-0003-1102-3729 Chun Hean Lee Chun Hean Lee true false cecc02ef54af32640274d537577a103e Paulo Refachinho De Campos Paulo Refachinho De Campos true false 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2023-02-07 This paper introduces a novel upwind Updated Reference Lagrangian Smoothed Particle Hydrodynamics (SPH) algorithm for the numerical simulation of large strain thermo-elasticity and thermo-visco-plasticity. The deformation process is described via a system of first-order hyperbolic conservation laws expressed in referential description, chosen to be an intermediate configuration of the deformation. The linear momentum, the three incremental geometric strains measures (between referential and spatial domains), and the entropy density of the system are treated as conservation variables of this mixed coupled approach, thus extending the previous work of the authors [1] in the context of isothermal elasticity and elasto-plasticity. To guarantee stability from the SPH discretisation standpoint, appropriate entropy-stable up-winding stabilisation is suitably designed and presented. This is demonstrated via the use of the Ballistic free energy of the coupled system (also known as Lyapunov function), to ensure the satisfaction of numerical entropy production. An extensive set of numerical examples is examined in order to assess the applicability and performance of the algorithm. It is shown that the overall algorithm eliminates the appearance of spurious modes (such as hour-glassing and non-physical pressure fluctuations) in the solution, typical limitations observed in the classical Updated Lagragian SPH framework. Journal Article Computational Particle Mechanics 10 6 1493 1531 Springer Science and Business Media LLC 2196-4378 2196-4386 Conservation laws, SPH, Riemann Solver, Explicit dynamics, Thermo-elasticity, Visco-plasticity 1 11 2023 2023-11-01 10.1007/s40571-023-00564-3 COLLEGE NANME COLLEGE CODE Swansea University Lee gratefully acknowledge the support provided by the EPSRC Strategic Support Package: Engineering of Active Materials by Multiscale/Multiphysics Computational Mechanics - EP/R008531/1. Gil, Lee and Campos would like to acknowledge the financial support received through the project Marie Sk lodowska-Curie ITN-EJD ProTechTion, funded by the European Union Horizon 2020 research and innovation program with grant number 764636. Giacomini acknowledges the support of the Serra H´unter Programme of the Generalitat de Catalunya, the Spanish Ministry of Science and Innovation and the Spanish State Research Agency MCIN/AEI/10.13039/501100011033 (Grants No. PID2020-113463RB-C33 and CEX2018- 000797-S). 2024-09-16T16:38:22.6402989 2023-02-07T09:58:59.2649015 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Chun Hean Lee 0000-0003-1102-3729 1 Paulo Refachinho De Campos 2 Antonio Gil 0000-0001-7753-1414 3 Matteo Giacomini 4 Javier Bonet 5 62595__27024__700e6f2b32484323910c6dbb360dcbca.pdf 62595.pdf 2023-04-13T08:52:27.7495717 Output 22446897 application/pdf Version of Record true © The Author(s) 2023. Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0). true eng http://creativecommons.org/licenses/by/4.0/
title	An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity
spellingShingle	An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity Chun Hean Lee Paulo Refachinho De Campos Antonio Gil
title_short	An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity
title_full	An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity
title_fullStr	An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity
title_full_unstemmed	An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity
title_sort	An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity
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author_id_fullname_str_mv	e3024bdeee2dee48376c2a76b7147f2f_*_Chun Hean Lee cecc02ef54af32640274d537577a103e__Paulo Refachinho De Campos 1f5666865d1c6de9469f8b7d0d6d30e2_**_Antonio Gil
author	Chun Hean Lee Paulo Refachinho De Campos Antonio Gil
author2	Chun Hean Lee Paulo Refachinho De Campos Antonio Gil Matteo Giacomini Javier Bonet
format	Journal article
container_title	Computational Particle Mechanics
container_volume	10
container_issue	6
container_start_page	1493
publishDate	2023
institution	Swansea University
issn	2196-4378 2196-4386
doi_str_mv	10.1007/s40571-023-00564-3
publisher	Springer Science and Business Media LLC
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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
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description	This paper introduces a novel upwind Updated Reference Lagrangian Smoothed Particle Hydrodynamics (SPH) algorithm for the numerical simulation of large strain thermo-elasticity and thermo-visco-plasticity. The deformation process is described via a system of first-order hyperbolic conservation laws expressed in referential description, chosen to be an intermediate configuration of the deformation. The linear momentum, the three incremental geometric strains measures (between referential and spatial domains), and the entropy density of the system are treated as conservation variables of this mixed coupled approach, thus extending the previous work of the authors [1] in the context of isothermal elasticity and elasto-plasticity. To guarantee stability from the SPH discretisation standpoint, appropriate entropy-stable up-winding stabilisation is suitably designed and presented. This is demonstrated via the use of the Ballistic free energy of the coupled system (also known as Lyapunov function), to ensure the satisfaction of numerical entropy production. An extensive set of numerical examples is examined in order to assess the applicability and performance of the algorithm. It is shown that the overall algorithm eliminates the appearance of spurious modes (such as hour-glassing and non-physical pressure fluctuations) in the solution, typical limitations observed in the classical Updated Lagragian SPH framework.
published_date	2023-11-01T20:19:36Z
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score	11.04748

An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity

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