The Arlequin method as a flexible engineering design tool

By H. Dhia, G. Rateau. 2005

457 citations recorded by the source corpus.

By superposing and gluing models, the Arlequin method offers an extended modelling framework for the design of engineering structures. This paper aims at developing the numerical aspects of the approach and at showing how it can be used with great flexibility and in a consistent manner to change locally a global mechanical model. The capabilities of the Arlequin method and the effectiveness of the implemented numerical tools are exemplified by 1‐D, 2‐D and 3‐D numerical applications. Copyright © 2005 John Wiley & Sons, Ltd.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/aff935b2d4645e8194bdb78a95bfdd1610f78aa9

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A computational library for multiscale modeling of material failure (2013, methodology): “Our selected numerical method for the concurrent coupling of different length scales is the Arlequin method [23] which in the case of MD/FE coupling is known as the BD method [137].”
The LATIN multiscale computational method and the Proper Generalized Decomposition (2010, background): “Today, in structural mechanics, there is a growing interest in a class of techniques called “multiscale computational approaches”, which are capable of analyzing structures in which two or more very different scales can be identified [8, 9, 10, 3 ]. A typical engineering example is that of a relati”
A bridging domain and strain computation method for coupled atomistic–continuum modelling of solids (2007, methodology): “Dhia and Rateau [ 12 ] originated this method for the purpose of joining finite-element meshes and called it the Arlequin method.”
A two-scale model of granular materials (2012, methodology): “A general concept for the coupling of different models and methods is the Arlequin method introduced by Ben Dhia [8,9].”
A PGD-based homogenization technique for the resolution of nonlinear multiscale problems (2013, background): “In the context of such huge calculations, multiscale approaches based on domain decomposition methods [1] or on model superposition [2,3] are widely used.”
The Schwarz alternating method in solid mechanics (2017, background): “Ben Dhia and Rateau [10]), and continnum to continuum (e.”
On the application of the Arlequin method to the coupling of particle and continuum models (2008, methodology): “Remark 9We also note here that, as pointed out by Ben Dhia and Rateau [7], the discretization of the Lagrange multiplier space cannot be finer than the discretization of the continuum model and the particle spacing.”
Bridging the scales in nano engineering and science (2006, methodology): “, 2003), and bridging domain method (Belytschko & Xiao, 2003; Ben Dhia & Rateau, 2005). By refining the finite element mesh to atomistic scale at the interface (Broughton et al., 1999), the issue of phonon reflection can be circumvented. A review of various interface formulations can be found in Cur”
A new open-source software developed for numerical simulations using discrete modeling methods (2008, methodology): “The Arlequin method [ 12 ] uses displacement and strain projections over shape functions, in assuming field continuity.”