Lee, Chun Hean and Refachinho de Campos, Paulo R. and Gil, Antonio J. and Giacomini, Matteo and Bonet, Javier (2023) An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity. Computational Particle Mechanics, 10. pp. 1493-1531. ISSN 2196-4378

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 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 in the context of isothermal elasticity and elasto-plasticity. To guarantee stability from the SPH discretisation standpoint, appropriate entropy-stable upwinding 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 Lagrangian SPH framework.

People
Lee, Chun Hean
Author

Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991

Khayyer, Abbas and Lee, Chun Hean (2024) Discussion on “comparative study on volume conservation among various SPH models for flows of different levels of violence, coastal engineering, volume 191, August 2024, 104 521” by Wang et al. Coastal Engineering, 192: 104565. ISSN 0378-3839

Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, A.J. and Bonet, Javier and Giacomini, Matteo (2024) A first-order hyperbolic arbitrary Lagrangian Eulerian conservation formulation for non-linear solid dynamics. International Journal for Numerical Methods in Engineering, 125 (15): e7467. ISSN 0029-5981

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Refachinho de Campos, Paulo R.
Author

Lee, Chun Hean and Gil, Antonio J. and Refachinho de Campos, Paulo R. and Bonet, Javier and Jaugielavicius, Tadas and Joshi, Shreyas and Wood, Clare (2024) A novel Arbitrary Lagrangian Eulerian Smooth Particle Hydrodynamics algorithm for nonlinear solid dynamics. Computer Methods in Applied Mechanics and Engineering, 427: 117055. ISSN 0045-7825

Lee, Chun Hean and Refachinho de Campos, Paulo R. and Gil, Antonio J. and Giacomini, Matteo and Bonet, Javier (2023) An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity. Computational Particle Mechanics, 10. pp. 1493-1531. ISSN 2196-4378

See full publications list
Gil, Antonio J.
Author

Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991

Lee, Chun Hean and Gil, Antonio J. and Refachinho de Campos, Paulo R. and Bonet, Javier and Jaugielavicius, Tadas and Joshi, Shreyas and Wood, Clare (2024) A novel Arbitrary Lagrangian Eulerian Smooth Particle Hydrodynamics algorithm for nonlinear solid dynamics. Computer Methods in Applied Mechanics and Engineering, 427: 117055. ISSN 0045-7825

Lee, Chun Hean and Refachinho de Campos, Paulo R. and Gil, Antonio J. and Giacomini, Matteo and Bonet, Javier (2023) An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity. Computational Particle Mechanics, 10. pp. 1493-1531. ISSN 2196-4378

See full publications list
Giacomini, Matteo
Author

Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991

Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, A.J. and Bonet, Javier and Giacomini, Matteo (2024) A first-order hyperbolic arbitrary Lagrangian Eulerian conservation formulation for non-linear solid dynamics. International Journal for Numerical Methods in Engineering, 125 (15): e7467. ISSN 0029-5981

Lee, Chun Hean and Refachinho de Campos, Paulo R. and Gil, Antonio J. and Giacomini, Matteo and Bonet, Javier (2023) An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity. Computational Particle Mechanics, 10. pp. 1493-1531. ISSN 2196-4378

See full publications list
Bonet, Javier
Author

Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991

Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, A.J. and Bonet, Javier and Giacomini, Matteo (2024) A first-order hyperbolic arbitrary Lagrangian Eulerian conservation formulation for non-linear solid dynamics. International Journal for Numerical Methods in Engineering, 125 (15): e7467. ISSN 0029-5981

Lee, Chun Hean and Gil, Antonio J. and Refachinho de Campos, Paulo R. and Bonet, Javier and Jaugielavicius, Tadas and Joshi, Shreyas and Wood, Clare (2024) A novel Arbitrary Lagrangian Eulerian Smooth Particle Hydrodynamics algorithm for nonlinear solid dynamics. Computer Methods in Applied Mechanics and Engineering, 427: 117055. ISSN 0045-7825

See full publications list
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Information
Title:
An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity
Creators:
Lee, Chun Hean and Refachinho de Campos, Paulo R. and Gil, Antonio J. and Giacomini, Matteo and Bonet, Javier
Identification Number:
10.1007/s40571-023-00564-3
Date:
November 2023
Divisions:
College of Science and Engineering > School of Engineering > Infrastructure and Environment
Publisher:
Springer
Additional Information:
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 Hunter 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).
Library
URI:
https://pub.demo35.eprints-hosting.org/id/eprint/469
Item Type:
Article
Depositing User:
Unnamed user with email ejo1f20@soton.ac.uk
Date Deposited:
11 Jun 2025 16:38
Revision:
23
Last Modified:
12 Jun 2025 09:01
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