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A review of mesh-free Smoothed Particle Hydrodynamics for large strain solid dynamics: from displacement-based formulations to first-order conservation laws

Chun Hean Lee, Antonio Gil Orcid Logo, Javier Bonet, Paulo Roberto Refachinho De Campos, Abbas Khayyer

Archives of Computational Methods in Engineering

Swansea University Authors: Antonio Gil Orcid Logo, Paulo Roberto Refachinho De Campos

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Abstract

Smoothed Particle Hydrodynamics (SPH) has become a versatile mesh-free method for modellinglarge strain solid dynamics, yet its numerous variants have led to fragmented understanding andinconsistent stability, accuracy, and robustness. This review consolidates recent advances in SPHfor solids, with...

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Published in: Archives of Computational Methods in Engineering
ISSN: 1134-3060 1886-1784
Published: Springer Nature
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URI: https://cronfa.swan.ac.uk/Record/cronfa71856
first_indexed 2026-05-06T09:39:21Z
last_indexed 2026-06-04T08:37:27Z
id cronfa71856
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spelling 2026-06-03T13:48:56.7337867 v2 71856 2026-05-06 A review of mesh-free Smoothed Particle Hydrodynamics for large strain solid dynamics: from displacement-based formulations to first-order conservation laws 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false cecc02ef54af32640274d537577a103e Paulo Roberto Refachinho De Campos Paulo Roberto Refachinho De Campos true false 2026-05-06 ACEM Smoothed Particle Hydrodynamics (SPH) has become a versatile mesh-free method for modellinglarge strain solid dynamics, yet its numerous variants have led to fragmented understanding andinconsistent stability, accuracy, and robustness. This review consolidates recent advances in SPHfor solids, with a particular focus on three-dimensional continuum descriptions, and criticallyexamines major formulations along with their numerical performance. It demonstrates how aunified, variationally consistent SPH framework, expressed in first-order conservation law form,can lead to more accurate and reliable simulations. Benchmark tests and convergence analyses arepresented to evaluate current capabilities and identify remaining challenges. The review concludeswith perspectives on future methodological developments and emerging applications where SPHoffers clear advantages for modelling large deformations. Journal Article Archives of Computational Methods in Engineering Springer Nature 1134-3060 1886-1784 SPH, solid dynamics, variational formulation, conservation laws, entropy, stabilisation 0 0 0 0001-01-01 In press COLLEGE NANME Aerospace Civil Electrical and Mechanical Engineering COLLEGE CODE ACEM Swansea University Not Required Chun Hean Lee acknowledges support provided by FIFTY2 Technology GmbH (project 322835), Antonio J. Gil from UK AWE (project PO 40062030), and Javier Bonet from project POTENTIAL (PID2022-141957OB-C21) funded by MCIN/AEI/10.13039/501100011033/FEDER, UE. Antonio J. Gil also acknowledges support from The Leverhulme Trust Fellowship, and Chun Hean Lee acknowledges support from the RSE Personal Research Fellowship. 2026-06-03T13:48:56.7337867 2026-05-06T10:30:00.9168373 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Chun Hean Lee 1 Antonio Gil 0000-0001-7753-1414 2 Javier Bonet 3 Paulo Roberto Refachinho De Campos 4 Abbas Khayyer 5
title A review of mesh-free Smoothed Particle Hydrodynamics for large strain solid dynamics: from displacement-based formulations to first-order conservation laws
spellingShingle A review of mesh-free Smoothed Particle Hydrodynamics for large strain solid dynamics: from displacement-based formulations to first-order conservation laws
Antonio Gil
Paulo Roberto Refachinho De Campos
title_short A review of mesh-free Smoothed Particle Hydrodynamics for large strain solid dynamics: from displacement-based formulations to first-order conservation laws
title_full A review of mesh-free Smoothed Particle Hydrodynamics for large strain solid dynamics: from displacement-based formulations to first-order conservation laws
title_fullStr A review of mesh-free Smoothed Particle Hydrodynamics for large strain solid dynamics: from displacement-based formulations to first-order conservation laws
title_full_unstemmed A review of mesh-free Smoothed Particle Hydrodynamics for large strain solid dynamics: from displacement-based formulations to first-order conservation laws
title_sort A review of mesh-free Smoothed Particle Hydrodynamics for large strain solid dynamics: from displacement-based formulations to first-order conservation laws
author_id_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2
cecc02ef54af32640274d537577a103e
author_id_fullname_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
cecc02ef54af32640274d537577a103e_***_Paulo Roberto Refachinho De Campos
author Antonio Gil
Paulo Roberto Refachinho De Campos
author2 Chun Hean Lee
Antonio Gil
Javier Bonet
Paulo Roberto Refachinho De Campos
Abbas Khayyer
format Journal article
container_title Archives of Computational Methods in Engineering
institution Swansea University
issn 1134-3060
1886-1784
publisher Springer Nature
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 0
active_str 0
description Smoothed Particle Hydrodynamics (SPH) has become a versatile mesh-free method for modellinglarge strain solid dynamics, yet its numerous variants have led to fragmented understanding andinconsistent stability, accuracy, and robustness. This review consolidates recent advances in SPHfor solids, with a particular focus on three-dimensional continuum descriptions, and criticallyexamines major formulations along with their numerical performance. It demonstrates how aunified, variationally consistent SPH framework, expressed in first-order conservation law form,can lead to more accurate and reliable simulations. Benchmark tests and convergence analyses arepresented to evaluate current capabilities and identify remaining challenges. The review concludeswith perspectives on future methodological developments and emerging applications where SPHoffers clear advantages for modelling large deformations.
published_date 0001-01-01T06:02:16Z
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score 11.109323

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