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A New Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity
Paulo Refachinho De Campos,
Antonio Gil 
,
Chun Hean Lee ,
Matteo Giacomini,
Javier Bonet
,
Chun Hean Lee ,
Matteo Giacomini,
Javier Bonet
Computer Methods in Applied Mechanics and Engineering, Volume: 392, Start page: 114680
Swansea University Authors:
Paulo Refachinho De Campos, Antonio Gil , Chun Hean Lee
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DOI (Published version): 10.1016/j.cma.2022.114680
Abstract
This paper presents a new Updated Reference Lagrangian Smooth Particle Hydrodynamics(SPH) algorithm for the analysis of large deformation isothermal elasticity and elasto-plasticity.Taking as point of departure a Total Lagrangian setting and considering as referential configuration an intermediate c...
| Published in: | Computer Methods in Applied Mechanics and Engineering |
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| ISSN: | 0045-7825 |
| Published: |
Elsevier BV
2022
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa59231 |
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Marie Sk lodowska-Curie ITN-EJD ProTechTion, funded by the European Union Horizon 2020
research and innovation program with grant number 764636. The third author also gratefully
acknowledges the support provided by the EPSRC Strategic Support Package: Engineering of
Active Materials by Multiscale/Multiphysics Computational Mechanics - EP/R008531/1. The
fourth author acknowledges the support of the Serra H´unter Programme of the Generalitat
de Catalunya, the Spanish Ministry of Economy and Competitiveness (Grant agreement No.
PID2020-113463RB-C33) and the Spanish Ministry of Economy and Competitiveness through
the Severo Ochoa programme for centres of excellence in RTD (Grant agreement No. CEX2018-
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| spelling |
2022-09-07T11:52:06.7784994 v2 59231 2022-01-24 A New Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity cecc02ef54af32640274d537577a103e Paulo Refachinho De Campos Paulo Refachinho De Campos true false 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false e3024bdeee2dee48376c2a76b7147f2f 0000-0003-1102-3729 Chun Hean Lee Chun Hean Lee true false 2022-01-24 ACEM This paper presents a new Updated Reference Lagrangian Smooth Particle Hydrodynamics(SPH) algorithm for the analysis of large deformation isothermal elasticity and elasto-plasticity.Taking as point of departure a Total Lagrangian setting and considering as referential configuration an intermediate configuration of the deformation process, the equation of conservationof linear momentum and three geometric conservation laws (for the deformation gradient, itscofactor and its determinant) are re-written leading to a very generic system of first order conservation laws. The key feature of the formulation is a suitable multiplicative decomposition of the conservation variables, leading to a very simple final set of equations with striking similarities to he conventional Total Lagrangian system albeit re-written in terms of alternative Referential Updated conservation variables which are evolved in time. Taking advantage of this new Updated Reference Lagrangian formalism, a second order entropy-stable SPH upwiding stabilisation method will be introduced. With respect to previous publications by the group, a new three-stage Runge-Kutta time integration method is implemented in order to increase the CFL stability restriction. Finally, and to demonstrate the robustness and applicability of the methodology, a wide spectrum of challenging problems will be presented and compared, including some benchmark three-dimensional large deformation elasto-plasticity problems. To facilitate its ease of implementation, the paper explores the use of a series of novel expressions for the evaluation of kernels and the gradients of kernels to provide the SPH user the freedom to choose amongst various options, all leading to equally convincingly robust results. Journal Article Computer Methods in Applied Mechanics and Engineering 392 114680 Elsevier BV 0045-7825 SPH, Updated Reference Lagrangian, Conservation laws, Upwinding, Fast dynamics 15 3 2022 2022-03-15 10.1016/j.cma.2022.114680 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University External research funder(s) paid the OA fee (includes OA grants disbursed by the Library) The authors 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. The third author also gratefully acknowledges the support provided by the EPSRC Strategic Support Package: Engineering of Active Materials by Multiscale/Multiphysics Computational Mechanics - EP/R008531/1. The fourth author acknowledges the support of the Serra H´unter Programme of the Generalitat de Catalunya, the Spanish Ministry of Economy and Competitiveness (Grant agreement No. PID2020-113463RB-C33) and the Spanish Ministry of Economy and Competitiveness through the Severo Ochoa programme for centres of excellence in RTD (Grant agreement No. CEX2018- 000797-S). 2022-09-07T11:52:06.7784994 2022-01-24T14:51:51.1032763 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Paulo Refachinho De Campos 1 Antonio Gil 0000-0001-7753-1414 2 Chun Hean Lee 0000-0003-1102-3729 3 Matteo Giacomini 4 Javier Bonet 5 59231__23793__e9d33a77fcb54e32bc32cf054ae3d5d7.pdf 59231_VoR.pdf 2022-04-07T16:58:40.6544492 Output 8572739 application/pdf Version of Record true © 2022 The Authors. This is an open access article under the CC BY license true eng http://creativecommons.org/licenses/by/4.0/ |
| title |
A New Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity |
| spellingShingle |
A New Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity Paulo Refachinho De Campos Antonio Gil Chun Hean Lee |
| title_short |
A New Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity |
| title_full |
A New Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity |
| title_fullStr |
A New Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity |
| title_full_unstemmed |
A New Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity |
| title_sort |
A New Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity |
| author_id_str_mv |
cecc02ef54af32640274d537577a103e 1f5666865d1c6de9469f8b7d0d6d30e2 e3024bdeee2dee48376c2a76b7147f2f |
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cecc02ef54af32640274d537577a103e_***_Paulo Refachinho De Campos 1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil e3024bdeee2dee48376c2a76b7147f2f_***_Chun Hean Lee |
| author |
Paulo Refachinho De Campos Antonio Gil Chun Hean Lee |
| author2 |
Paulo Refachinho De Campos Antonio Gil Chun Hean Lee Matteo Giacomini Javier Bonet |
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Computer Methods in Applied Mechanics and Engineering |
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10.1016/j.cma.2022.114680 |
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Elsevier BV |
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Faculty of Science and Engineering |
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| description |
This paper presents a new Updated Reference Lagrangian Smooth Particle Hydrodynamics(SPH) algorithm for the analysis of large deformation isothermal elasticity and elasto-plasticity.Taking as point of departure a Total Lagrangian setting and considering as referential configuration an intermediate configuration of the deformation process, the equation of conservationof linear momentum and three geometric conservation laws (for the deformation gradient, itscofactor and its determinant) are re-written leading to a very generic system of first order conservation laws. The key feature of the formulation is a suitable multiplicative decomposition of the conservation variables, leading to a very simple final set of equations with striking similarities to he conventional Total Lagrangian system albeit re-written in terms of alternative Referential Updated conservation variables which are evolved in time. Taking advantage of this new Updated Reference Lagrangian formalism, a second order entropy-stable SPH upwiding stabilisation method will be introduced. With respect to previous publications by the group, a new three-stage Runge-Kutta time integration method is implemented in order to increase the CFL stability restriction. Finally, and to demonstrate the robustness and applicability of the methodology, a wide spectrum of challenging problems will be presented and compared, including some benchmark three-dimensional large deformation elasto-plasticity problems. To facilitate its ease of implementation, the paper explores the use of a series of novel expressions for the evaluation of kernels and the gradients of kernels to provide the SPH user the freedom to choose amongst various options, all leading to equally convincingly robust results. |
| published_date |
2022-03-15T20:09:16Z |
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1821346896304668672 |
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11.04748 |