An arbitrary Lagrangian-Eulerian finite element method for large deformation analysis of elastic-viscoplastic solids

Ghosh, Somnath; Kikuchi, Noboru

doi:10.1016/0045-7825(91)90126-q

Cited by 152 publications

(77 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…(7) and (12). Remarkably, the dependence of the constitutive equations on the density does not modify the algorithm.…”

Section: Lagrangian Phasementioning

confidence: 99%

See 1 more Smart Citation

Efficient and accurate approach for powder compaction problems

Foguet¹,

Ferran²,

Huerta³

2003

Computational Mechanics

View full text Add to dashboard Cite

In this paper, a new approach for powder cold compaction simulations is presented. A density-dependent plastic model within the framework of finite strain multiplicative hyperelastoplasticity is used to describe the highly nonlinear material behaviour; the Coulomb dry friction model is used to capture friction effects at die-powder contact; and an Arbitrary Lagrangian-Eulerian (ALE) formulation is used to avoid the (usual) excessive distortion of Lagrangian meshes caused by large mass fluxes. Several representative examples, involving structured and unstructured meshes are simulated. The results obtained agree with the experimental data and other numerical results reported in the literature. It is shown that, contrary to other Lagrangian and adaptive h-remeshing approaches recently reported for this type of problems, the present approach verifies the mass conservation principle with very low relative errors (less than 1% in all ALE examples and exactly in the pure Lagrangian examples). Moreover, thanks to the use of an ALE formulation and in contrast with other simulations, the presented density distributions do not present spurious oscillations.

show abstract

“…(7) and (12). Remarkably, the dependence of the constitutive equations on the density does not modify the algorithm.…”

Section: Lagrangian Phasementioning

confidence: 99%

“…Nowadays, ALE formulations for fluid problems are widely used in forming processes. On the other hand, the ALE formulation has been successfully employed in nonlinear solid mechanics [10][11][12][13][14]. The ALE formulation for multiplicative hyperelastoplasticity recently presented by Rodríguez-Farran et al [14] is used here.…”

Section: Introductionmentioning

confidence: 99%

Efficient and accurate approach for powder compaction problems

Foguet¹,

Ferran²,

Huerta³

2003

Computational Mechanics

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…H-adaptive mesh refinement cycles (Hu & Randolph, 1998b) were implemented to optimise the mesh, minimising discretisation errors, concentrating in the most highly stressed zones. Large deformation analyses were undertaken using RITSS (remeshing and interpolation technique with small strain; Hu & Randolph, (Ghosh & Kikuchi, 1991), whereby a series of small strain analysis increments (using AFENA) are combined with fully automatic remeshing of the entire domain, followed by interpolation of all field values (such as stresses and material properties) from the old mesh to the new mesh. Other applications of this technique include circular footing penetration in two-layer clay (Wang & Carter, 2002), cone penetration in clay (Lu et al, 2004) and uplift of strip anchors in clay (Thorne et al, 2004).…”

Section: Analysis Detailsmentioning

confidence: 99%

Deep-penetrating spudcan foundations on layered clays: numerical analysis

Hossain¹,

Randolph²

2010

Géotechnique

View full text Add to dashboard Cite

This paper presents results of large deformation finite element (LDFE) analyses that investigate the penetration response of deep-penetrating spudcan foundations in stratified soil comprising a strong clay layer overlying weaker clay. Such strength profiles give rise to potential punchthrough failure, with a local maximum penetration resistance followed by some reduction. The paper is a companion paper to one that presents results from centrifuge model tests of the same problem, with the overall aim being to investigate the potential for punch-through failure and its severity, as a basis for improving design methods for evaluating spudcan penetration. The LDFE analyses have simulated continuous penetration of smooth and rough spudcan foundations from the sea-bed surface. A detailed parametric study has been undertaken, exploring the relevant range of layer thickness (relative to the spudcan diameter), strength ratios and spudcan base roughness. The results have been validated against previously published results and the centrifuge test data presented in a companion paper. Excellent agreement was obtained between the results from LDFE analyses and centrifuge tests. As the ratio of the shear strength of the bottom layer to that of the top layer decreased, upwards soil flow around the spudcan shoulder became less pronounced and the failure mechanism was dominated by a steep-sided plug of soil from the top layer being forced deep into the lower layer. The potential for severe punch-through was demonstrated by a significant reduction in the resistance profile as the spudcan approached the interface between the two layers. A preliminary design chart is proposed to estimate the cavity depth above the penetrating spudcan, which was significantly greater than that for a single layer clay. The penetration responses have been presented in terms of profiles of normalised net bearing pressure for a range of layer geometries and soil properties. Potential punchthrough occurred for all cases where the strength ratio was less than or equal to 0 . 6, with the reduction in resistance being greater the lower the strength ratio of the underlying layer to the upper layer, and the thicker the upper layer, but reducing as the strength gradient in the lower layer increased. The current approach suggested in offshore design guidelines is shown to underestimate the penetration resistance significantly, in most cases, and give poor estimates of the likelihood and severity of spudcan punch-through.KEYWORDS: bearing capacity; clays; failure; footings/foundations; numerical modelling; offshore engineering La présente communication présente les résultats d'analyses de larges déformations en éléments finis (LDEF) examinant la réaction à la pénétration de fondations à forte pénétration dans des sols stratifiés, comportant une couche d'argile résistante recouvrant une couche d'argile plus faible. Ces profils de résistance donnent lieu à un risque de rupture à « punch-through », dans le cadre de laquelle une résistance maximale locale à la pénétr...

show abstract

An arbitrary Lagrangian-Eulerian finite element method for large deformation analysis of elastic-viscoplastic solids

Cited by 152 publications

References 29 publications

Efficient and accurate approach for powder compaction problems

Efficient and accurate approach for powder compaction problems

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

Deep-penetrating spudcan foundations on layered clays: numerical analysis

Contact Info

Product

Resources

About