R-S Adapted Arbitrary Lagrangian-Eulerian Finite Element Method for Metal-Forming Problems With Strain Localization

Ghosh, Somnath; Raju, S. Suresh Kumar

doi:10.1002/(sici)1097-0207(19961015)39:19<3247::aid-nme998>3.0.co;2-1

Cited by 26 publications

(3 citation statements)

References 34 publications

(3 reference statements)

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“…In fact, in ALE, it is possible to use any mesh-smoothing algorithm designed to improve the shape of the elements once the topology is fixed. Simple iterative averaging procedures can be implemented where possible; see, for instance, (Donea et al, 1982;Batina, 1991;Trépanier et al, 1993;Ghosh and Raju, 1996;and Aymone et al, 2001). A more robust algorithm (especially in the neighborhood of boundaries with large curvature) was proposed by Giuliani (1982) on the basis of geometric considerations.…”

Section: Mesh-smoothing and Simple Interpolationsmentioning

confidence: 99%

ArbitraryLagrangian–Eulerian Methods

Donéa

Huerta

Ponthot

et al. 2017

Encyclopedia of Computational Mechanics Second Edition

200

139

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The aim of this chapter is to provide an in‐depth survey of arbitrary Lagrangian–Eulerian (ALE) methods, including both conceptual aspects of the mixed kinematical description and numerical implementation details. Applications are discussed in fluid dynamics, nonlinear solid mechanics, and coupled problems describing fluid–structure interaction. The need for an adequate mesh‐update strategy is underlined, and various automatic mesh‐displacement prescription algorithms are reviewed. This includes mesh‐regularization methods essentially based on geometrical concepts, as well as mesh‐adaptation techniques aimed at optimizing the computational mesh according to some error indicator. Emphasis is then placed on particular issues related to the modeling of compressible and incompressible flow and nonlinear solid mechanics problems. This includes the treatment of convective terms in the conservation equations for mass, momentum, and energy, as well as a discussion of stress‐update procedures for materials with history‐dependent constitutive behavior.

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Section: Mesh-smoothing and Simple Interpolationsmentioning

confidence: 99%

ArbitraryLagrangian–Eulerian Methods

Donéa

Huerta

Ponthot

et al. 2017

Encyclopedia of Computational Mechanics Second Edition

200

139

View full text Add to dashboard Cite

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“…As the bonds are submitted to large deformation (even for small macroscopic deformation), we used an arbitrary Lagrangian Eulerian (ALE) description [Huerta and Casadei, 1994, Wang and Gadala, 1997, Ghosh and Raju, 1996, Rodríguez-Ferran et al, 2002. This description incorporates the advantages of the Lagrangian and Eulerian descriptions, and can avoid some of their drawbacks.…”

Section: Numerical Modelingmentioning

confidence: 99%

Damage in cohesive granular materials: simulations and geophysical implications

Canel¹,

Campillo²,

Jia³

et al. 2023

Comptes Rendus. Géoscience

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The aim of this paper is to test a simple damage model of a cohesive granular medium to study the relationship between the damage and velocity of elastic waves. Our numerical experiments of edometric compression show that the microscopic deformation quickly becomes very heterogeneous, while our simulations of elastic waves propagation show that a small amount of damage induces a dramatic decrease in the elastic velocity. This shows that cohesive discrete media are very sensitive to strain field heterogeneity, and that the wave velocities in these media can measure subtle transient deformation processes, such as earthquake initiation phases.

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“…In the past decades, there have been numerous direct numerical simulation methods for particle-fluid coupling, such as the finite element-arbitrary Lagrangian Euler method, fictitious domain method, lattice Boltzmann method, immersed boundary method, and smoothed particle hydrodynamics method [26][27][28][29][30][31]. Feng et al [29] proposed the immersed boundary-lattice Boltzmann method (IB-LBM) that couples the computational fluid dynamics and immersion boundary method.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Particle-Fluid Interaction in Fractal Fractures Based on the Immersed Boundary-Lattice Boltzmann Method

et al. 2020

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In order to reveal the influence of particles on fluid flow characteristics in rough fractures under fluid-solid coupling, a range of fracture systems with varying roughness were generated using the Weierstrass-Mandelbrot function. Fluid-particle interactions in rough fractal fractures were simulated using the immersed boundary-lattice Boltzmann method. In this paper, the effects of fluid viscosity, particle size, particle quantity, fracture fractal dimension, and particle grading composition are studied. Results illustrate that increasing fluid viscosity hinders the movement of particles, resulting in the decreasing of particle velocity. As particle size and particle quantity increase, the particle occupation of the channel area grows larger, which lead to lower permeability of the channel. Increasing fracture fractal dimension surges the curvature of the fluid channel, but permeability has a negative exponential correlation to fractal dimension. With increasing particle grading composition, the blocking effect of particles on fracture flow also increases with increasing particle proportion.

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R-S Adapted Arbitrary Lagrangian-Eulerian Finite Element Method for Metal-Forming Problems With Strain Localization

Cited by 26 publications

References 34 publications

ArbitraryLagrangian–Eulerian Methods

ArbitraryLagrangian–Eulerian Methods

Damage in cohesive granular materials: simulations and geophysical implications

Simulation of Particle-Fluid Interaction in Fractal Fractures Based on the Immersed Boundary-Lattice Boltzmann Method

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