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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
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 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.
Item Description: In press
Keywords: SPH, solid dynamics, variational formulation, conservation laws, entropy, stabilisation
College: Faculty of Science and Engineering
Funders: 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.