SPH modeling of fluid–solid interaction for dynamic failure analysis of fluid-filled thin shells

Caleyron, Fabien; Combescure, Alain; Faucher, Vincent; Потапов, С.

doi:10.1016/j.jfluidstructs.2013.02.023

Cited by 29 publications

(12 citation statements)

References 39 publications

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“…Thus, both Lemma 3.1 and Proposition 3.2 can be applied, and all kinematic quantities are, therefore, bounded. The central difference scheme is, thus, conditionally stable for the DAS (11).…”

Section: Proofmentioning

confidence: 96%

“…Furthermore, in the Arlequin problem (11), the constraint is imposed on acceleration such that CÜ n = 0 is verified at every time step. Thus, for the Arlequin problem (11) and the central difference time integrator, E coupling = 0 and the energy is conserved.…”

Section: Energy Balancementioning

confidence: 99%

“…The Arlequin method has been developed as a flexible engineering tool [8] allowing the coupling of different models (particle, continuum, and SPH) and meshes (1D-2D, 1D-3D) in both statics and dynamics [9][10][11][12][13]. Moreover, using a partition of unity approach provides a progressive and smooth transition between the different models.…”

Section: Introductionmentioning

confidence: 99%

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Multi‐model Arlequin method for transient structural dynamics with explicit time integration

Fernier

Faucher

Jamond

2017

Numerical Meth Engineering

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This paper addresses the explicit time integration for solving multi-model structural dynamics by the Arlequin method. Our study focuses on the stability of the central difference scheme in the Arlequin framework. Although the Arlequin coupling matrices can introduce a weak instability, the time integrator remains stable as long as the initial kinematic conditions of both models agree on the coupling zone. After showing that the Arlequin weights have an adverse impact on the critical time step, we present two approaches to circumvent this issue. Computational tests confirm that the two approaches effectively preserve a feasible critical time step and show the efficiency of the Arlequin method for structural explicit dynamic simulations. Copyright 1215 kinematic conditions of both models agree on the overlapping zone. We introduced a simplified case to assess the adverse effect of the Arlequin weights on the critical time step and presented two approaches to circumvent this issue. The approaches were validated on a consistent test case, then applied to two relevant 2D examples, which showed good agreement with reference results.

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Section: Proofmentioning

confidence: 96%

Section: Energy Balancementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multi‐model Arlequin method for transient structural dynamics with explicit time integration

Fernier

Faucher

Jamond

2017

Numerical Meth Engineering

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“…SPH method which includes material strength was introduced by Libersky and Petschek . Caleyron et al studied the failure of a fluid‐filled tank under impact loading, including the resulting fluid leakage. They used Mindlin–Reissner finite elements (FE) to model the solid elements and SPH shells to model the fluid.…”

Section: Introductionmentioning

confidence: 99%

Response of reinforced concrete beams to high‐velocity fluid impact. Part II: Numerical modeling and simulation

Korucu

Irfanoglu

2017

Structural Concrete

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Fluid impact tests on reinforced concrete beams with rectangular or circular transverse reinforcement were modeled and simulated using explicit finite element analysis software, LS‐DYNA. The mid‐span displacements were measured and compared with the results of simulations. The objective was to test the accuracy and fidelity of the numerical modeling and simulation approach and to confirm that damage caused by fluid impact on the beams can be estimated with a reasonable accuracy over a wide range of impact velocity.

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“…CPM is especially useful for complex fracture patterns such as crack branching and coalescence. Other promising techniques used for fracture modelling include smoothed particle hydrodynamics [36,37,38], molecular dynamics [39], the discrete element method [40], and the force potential-based particle method [41]. Although the aforementioned approaches may have certain advantages for particular conditions, in this study peridynamics was chosen for modelling granular fracture in polycrystalline materials.…”

Section: Introductionmentioning

confidence: 99%

Modelling of Granular Fracture in Polycrystalline Materials Using Ordinary State-Based Peridynamics

2016

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An ordinary state-based peridynamic formulation is developed to analyse cubic polycrystalline materials for the first time in the literature. This new approach has the advantage that no constraint condition is imposed on material constants as opposed to bond-based peridynamic theory. The formulation is validated by first considering static analyses and comparing the displacement fields obtained from the finite element method and ordinary state-based peridynamics. Then, dynamic analysis is performed to investigate the effect of grain boundary strength, crystal size, and discretization size on fracture behaviour and fracture morphology.

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SPH modeling of fluid–solid interaction for dynamic failure analysis of fluid-filled thin shells

Abstract: of fluid-solid interaction for dynamic failure analysis of fluid-filled thin shells. Journal of Fluids and Structures, Elsevier, 2013, 39, pp.126-153. hal-00819622

Cited by 29 publications

References 39 publications

Multi‐model Arlequin method for transient structural dynamics with explicit time integration

Multi‐model Arlequin method for transient structural dynamics with explicit time integration

Response of reinforced concrete beams to high‐velocity fluid impact. Part II: Numerical modeling and simulation

Modelling of Granular Fracture in Polycrystalline Materials Using Ordinary State-Based Peridynamics

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