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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

Antonio Gil Orcid Logo

Archives of Computational Methods in Engineering

Swansea University Author: Antonio Gil Orcid Logo

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
Published: Springer
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.
College: Faculty of Science and Engineering
Funders: FIFTY2 Technology GmbH; UK AWE; Spanish MCIN; UK The Leverhulme Trust