High Strain Lagrangian Hydrodynamics

Libersky, Larry D.; Petschek, A. G.; Carney, Theodore C.; Hipp, Jim; Allahdadi, Firooz A.

doi:10.1006/jcph.1993.1199

Cited by 745 publications

(175 citation statements)

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“…Specifically we turn to a smooth-particle hydrodynamics approach [11][12][13][14]. Here the materials in the problem are treated as a series of nodes, each of which represents a certain amount of material which interacts hydrodynamically with neighboring nodes via an interpolation kernel.…”

Section: Methodsmentioning

confidence: 99%

Modelling and Simulation of Cratering and Ejecta Production During High Velocity Impacts

Schill

Wasem

Owen

2017

J. dynamic behavior mater.

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Section: Methodsmentioning

confidence: 99%

Modelling and Simulation of Cratering and Ejecta Production During High Velocity Impacts

Schill

Wasem

Owen

2017

J. dynamic behavior mater.

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“…The JST term here has a decisive effect towards achieving a more accurate solution. The Total Lagrangian setting ensures that the simulation does not suffer from tensile instability, a major issue in solid mechanics SPH simulations (see [7,12,13]). …”

Section: Applicationsmentioning

confidence: 99%

A Stabilised Total Lagrangian Corrected Smooth Particle Hydrodynamics Technique in Large Strain Explicit Fast Solid Dynamics

Greto¹,

Kulasegaram²,

Lee³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. An explicit Total Lagrangian mixed momentum/strains formulation [1][2][3][4][5], in the form of a system of first order conservation laws, has been recently proposed to overcome the shortcomings posed by the traditional second order displacement-based formulation, namely: (1) bending and volumetric locking difficulties; (2) hydrostatic pressure fluctuations; and (3) reduced order of convergence for derived variables. Following the work of Bonet and Kulasegaram [6,7], the main objective of this paper is the adaptation of Corrected Smooth Particle Hydrodynamics (CSPH) in the context of Total Lagrangian mixed formulation. Appropriate nodally conservative Jameson-Schmidt-Turkel (JST) stabilisation is introduced by taking advantage of the conservation laws. This mixed linear momentum-deformation gradient technique performs extremely well in nearly incompressible bending dominated scenarios [1, 2] without the appearance of spurious pressure oscillations. Additionally, as both linear momentum and deformation gradient are used as primary variables of the system, equal order of approximation should be achieved in both fields. A series of numerical examples are carried out to assess the applicability and robustness of the proposed algorithm.

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“…The extension to solid mechanics was introduced by Libersky et al [5] and Randles [6]. Johnson and Beissel proposed a normalized smoothing function (NSF) algorithm [7] and other corrected SPH methods have been developed by Bonet et al [8,9] and Chen et al [10].…”

Section: Introductionmentioning

confidence: 99%

On the Galerkin formulation of the smoothed particle hydrodynamics method

Cueto‐Felgueroso¹,

Colominas²,

Mosqueira³

et al. 2004

Numerical Meth Engineering

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SUMMARYIn this paper, we propose a Galerkin-based smoothed particle hydrodynamics (SPH) formulation with moving least-squares meshless approximation, applied to free surface flows. The Galerkin scheme provides a clear framework to analyse several procedures widely used in the classical SPH literature, suggesting that some of them should be reformulated in order to develop consistent algorithms. The performance of the methodology proposed is tested through various dynamic simulations, demonstrating the attractive ability of particle methods to handle severe distortions and complex phenomena.

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High Strain Lagrangian Hydrodynamics

Cited by 745 publications

References 0 publications

Modelling and Simulation of Cratering and Ejecta Production During High Velocity Impacts

Modelling and Simulation of Cratering and Ejecta Production During High Velocity Impacts

A Stabilised Total Lagrangian Corrected Smooth Particle Hydrodynamics Technique in Large Strain Explicit Fast Solid Dynamics

On the Galerkin formulation of the smoothed particle hydrodynamics method

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