scholarly journals Mixed Arlequin method for multiscale poromechanics problems

2017 ◽  
Vol 111 (7) ◽  
pp. 624-659 ◽  
Author(s):  
WaiChing Sun ◽  
Zhijun Cai ◽  
Jinhyun Choo
Keyword(s):  
Arlequin Method

scholarly journals Multiscale analysis of membrane instability by using the Arlequin method

2019 ◽  
Vol 162 ◽  
pp. 60-75 ◽  
Author(s):  
Qun Huang ◽  
Zengtao Kuang ◽  
Heng Hu ◽  
Michel Potier-Ferry
Keyword(s):  
Multiscale Analysis ◽  
Arlequin Method

scholarly journals On the application of the Arlequin method to the coupling of particle and continuum models

2008 ◽  
Vol 42 (4) ◽  
pp. 511-530 ◽  
Author(s):  
Paul T. Bauman ◽  
Hachmi Ben Dhia ◽  
Nadia Elkhodja ◽  
J. Tinsley Oden ◽  
Serge Prudhomme
Keyword(s):  
Continuum Models ◽  
Arlequin Method

Variable kinematic plate elements coupled via Arlequin method

2012 ◽  
Vol 91 (12) ◽  
pp. 1264-1290 ◽  
Author(s):  
F. Biscani ◽  
G. Giunta ◽  
S. Belouettar ◽  
E. Carrera ◽  
H. Hu
Keyword(s):  
Plate Elements ◽  
Arlequin Method

Computing Flatness Defects in Sheet Rolling by Arlequin and Asymptotic Numerical Methods

2014 ◽  
Vol 611-612 ◽  
pp. 186-193 ◽  
Author(s):  
Kekeli Kpogan ◽  
Yendoubouam Tampango ◽  
Hamid Zahrouni ◽  
Michel Potier-Ferry ◽  
Hachmi Ben Dhia
Keyword(s):  
Finite Element ◽  
Residual Stresses ◽  
Numerical Technique ◽  
Three Dimensional ◽  
Nonlinear Problems ◽  
Rolling Process ◽  
Three Dimensional Model ◽  
Sheet Rolling ◽  
Arlequin Method ◽  
Roll Bite

Rolling of thin sheets generally induces flatness defects due to thermo-elastic deformation of rolls. This leads to heterogeneous plastic deformations throughout the strip width and then to out of plane displacements to relax residual stresses. In this work we present a new numerical technique to model the buckling phenomena under residual stresses induced by rolling process. This technique consists in coupling two finite element models: the first one consists in a three dimensional model based on 8-node tri-linear hexahedron which is used to model the three dimensional behaviour of the sheet in the roll bite; we introduce in this model, residual stresses from a full simulation of rolling (a plane-strain elastoplastic finite element model) or from an analytical profile. The second model is based on a shell formulation well adapted to large displacements and rotations; it will be used to compute buckling of the strip out of the roll bite. We propose to couple these two models by using Arlequin method. The originality of the proposed algorithm is that in the context of Arlequin method, the coupling area varies during the rolling process. Furthermore we use the asymptotic numerical method (ANM) to perform the buckling computations taking into account geometrical nonlinearities in the shell model. This technique allows one to solve nonlinear problems using high order algorithms well adapted to problems in the presence of instabilities. The proposed algorithm is applied to some rolling cases where “edges-waves” and “center-waves” defects of the sheet are observed.

Explicit dynamics “SPH – Finite Element” coupling using the Arlequin method

2008 ◽  
Vol 17 (5-7) ◽  
pp. 737-748 ◽  
Author(s):  
Yann Chuzel-Marmot ◽  
Alain Combescure ◽  
Roland Ortiz
Keyword(s):  
Finite Element ◽  
Explicit Dynamics ◽  
Arlequin Method

Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method

2008 ◽  
Vol 197 (41-42) ◽  
pp. 3399-3409 ◽  
Author(s):  
S. Prudhomme ◽  
H. Ben Dhia ◽  
P.T. Bauman ◽  
N. Elkhodja ◽  
J.T. Oden
Keyword(s):  
Computational Analysis ◽  
Continuum Models ◽  
Modeling Error ◽  
Arlequin Method

scholarly journals A multiscale DEM–FEM coupled approach for the investigation of granules as crash-absorber in ship building

2021 ◽  
Author(s):  
Mohsin Ali Chaudry ◽  
Christian Woitzik ◽  
Alexander Düster ◽  
Peter Wriggers
Keyword(s):  
Numerical Model ◽  
Granular Materials ◽  
Structural Damage ◽  
Large Scale ◽  
Damage Model ◽  
Scale Model ◽  
Material Parameters ◽  
Arlequin Method ◽  
Double Hull ◽  
Element Method

AbstractThis paper covers a numerical analysis of a novel approach to increasing the crashworthiness of double hull ships. As proposed in Schöttelndreyer (Füllstoffe in der Konstruktion: ein Konzept zur Verstärkung vonSchiffsseitenhüllen, Technische Uni-versitt Hamburg, Hamburg, 2015), it involves the usage of granular materials in the cavity of the double hull ship. For the modeling of this problem, the discrete element method (DEM) is used for the granules while the finite element method is used for the ship’s structure. In order to account for the structural damage caused by collision, a gradient-enhanced ductile damage model is implemented. In addition to avoid locking, an enhanced strain-based formulation is used. For large-scale problems such as the one in the current study, modeling of all granules with realistic size can be computationally expensive. A two-scale model based on the work of Wellmann and Wriggers (Comput Methods Appl Mech Eng 205:46–58, 2012) is applied—and the region of significant localization is modeled with the DEM, while a continuum model is used for the other regions. The coupling of both discretization schemes is based on the Arlequin method. Numerical homogenization is used to estimate the material parameters of the continuum region with the granules. This involves the usage of meshless interpolation functions for the projection of particle displacement and stress onto a background mesh. Later, the volume-averaged stress and strain within the representative volume element is used to estimate the material parameters. At the end, the results from the combined numerical model are compared with the results from the experiments given in Woitzik and Düster (Ships Offshore Struct 1–12, 2020). This validates both the accuracy of the numerical model and the proposed idea of increasing the crashworthiness of double hull vessels with the granular materials.

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