An arbitrary lagrangian-eulerian finite element method for path-dependent materials

Abstract:The thermomechanical behavior of an aircraft tire is predicted, using experimental devices, a model based on finite element software and an appropriate method of expressing the heat generated by skid in terms of the local friction coefficient, depending on the temperature. In the thermomechanical model, a steady state mechanical analysis is combined with a transient thermal problem. This combined approach is based on three main computing steps: the deformation step, the dissipation step and the thermal step. The deformation step calculates the stress and the velocity fields, which are used as inputs in the dissipation step to calculate the heat generated due to friction. The internal dissipation is assumed to be negligible. Finally, the thermal step yields new thermal maps based on the heat flux computed in the dissipation step. The coupling is established by updating the friction coefficient in the first two steps.

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“…This enables significantly smaller models. The basics of the ALE method could be found in [42][43][44][45][46].…”

Section: Theoretical Foundations Of Rolling Tire Simulationsmentioning

confidence: 99%

Thermomechanical analysis of an aircraft tire in cornering using coupled ale and lagrangian formulations

Kondé¹,

Rosu

Lebon

et al. 2013

Open Engineering

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“…Further developments are needed to completely avoid this behaviour, which is not too uncommon in large-deformation finite-element analysis. Detrimental mesh distortion may be avoided by using an Arbitrary Lagrangian-Eulerian method (Liu et al, 1986). Elements that may invert and recover gracefully have been proposed by Irving et al (2006).…”

Section: Response Of Granule Bedsmentioning

confidence: 99%

Compression mechanics of granule beds: A combined finite/discrete element study

Frenning

2010

Chemical Engineering Science

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Compression of three-dimensional beds comprising of 1000 plastically deforming initially spherical granules is investigated by using the combined finite/discrete element (FE/DE) method. The material model is formulated within the framework of multiplicative plasticity, and utilizes a density-dependent elliptic yield surface that allows porous particles to both deform and to densify plastically, whereas only volume-preserving plastic deformation is possible for nonporous ones. Granules with different characteristics (yield stress and initial porosity) are studied, and the relationship between the single-granule properties and the global compression behaviour of the granule bed is investigated. It is demonstrated that the FE/DE method may shed light on the deformation and densification behaviour of individual granules, since the size and shape of each granule are continually determined as an integral part of the solution procedure, and that the method thus provides a comprehensive picture of the processes occurring during confined compression of granular materials.

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“…the Carreau-A and the Bingham models, respectively. The latter model is, in fact, transformed into a biviscous material with an extremely high initial viscosity because of the numerical impossibility to prescribe infinite viscosities; this is a classic _ technique employed, for example, by O ' Donovan and Tanner (41] and Keentok et al [28]. The one-dimensional viscosity equations for the Oarreau-A and Bingham materials are, respectively, and µ., = µ., o [ l + (Ay) 2 ] <n-1)12 50) (51) where µ.,, y, and T are the absolute viscosity, shear rate, and shear stress, respectively; µ., 0 , A, and n are zero-shear-rate viscosity, a time constant, and the dimensionless power-law index for the Carreau-A model; and µ., P and T 0 are the plastic viscosity and the plastic yield stress for the Bingham model.…”

Section: [46])mentioning

confidence: 99%

Viscous flow with large free surface motion

Huerta

Liu

1988

Computer Methods in Applied Mechanics and Engineering

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265

162

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An arbitrary Lagrangian-Eulerian (LE) Petrov-Galerkin finite elemen{technique is developed to study nonlinear viscous fluids under large free surface wave motion. A review of the kinematics and field equations from an arbitrary refe�ence is presented and since the major challenge of the ALE description lies in the mesh rezoning algorithm, various methods, including a new mixed formulation, are developed to update the mesh and lnap the moving domain in a more rational manner. Moreover, the streamline-upwind/Petrov-Galerkin formulation is implemented to accurately describe highly convective free surface flows. The effectiveness of the algorithm is demonstrated on a tsunami problem, the dam-break problem where the Reynolds number is taken as high as 3000, and a large-amplitude sloshing problem.

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An arbitrary lagrangian-eulerian finite element method for path-dependent materials

Cited by 151 publications

References 10 publications

Thermomechanical analysis of an aircraft tire in cornering using coupled ale and lagrangian formulations

Thermomechanical analysis of an aircraft tire in cornering using coupled ale and lagrangian formulations

Compression mechanics of granule beds: A combined finite/discrete element study

Viscous flow with large free surface motion

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