Abstract In this paper, a comparison of the L 2 and H 1 couplings is made for an overlapping domain decomposition method using Lagrange multipliers. The analysis local equations arising from formulation coupling two mechanical models shows that continuous weight functions are required term whereas both discontinuous can be used coupling. choice multiplier space discussed numerically studied. paper ends with some numerical examples end‐loaded cantilever beam cracked plate under tension shear....

Abstract A bridging domain method for coupled atomistic–continuum models is proposed that enables to compare various coupling terms. The approach does not require the finite element mesh match lattice spacing of atomic model. It based on an overlapping decomposition makes use Lagrange multipliers and weight functions in zone order distribute energy between two competing models. Two couplings are investigated. L 2 enforces continuity displacements directly. H 1 involves definition a strain...

In this paper, we provide the quantification of linear and non-linear elastic mechanical properties graphene based upon judicious combination molecular mechanics simulation results homogenization methods. We clarify influence on computed by main model features, such as specimen size, chirality microstructure, effect chosen boundary conditions (imposed displacement versus force) corresponding plane stress transformation. The proposed approach is capable explaining scatter for stresses, energy...

Abstract: This study presents the basic ingredients needed to model out‐of‐plane compression behaviour of a folded core up global peak load. is made an aramid paper. The proposed approach both experimental and numerical handles problem at different scales: fibre, paper scales. To have good representation physics, two key points are essential. first mechanical can be modelled as laminate composite. An in bending has been conducted build damage for second point concerns geometrical defects...

Abstract In this contribution, a crack propagation within brittle materials is presented by means of novel technique, the virtual element method (VEM) [1]. comparison to FEM, VEM allows usage arbitrary polygonal (2D) and polyhedral (3D) elements. Such can be extremely useful for simulation problems, which may providing an alternative approach XFEM remeshing. Based on stress intensity factor, calculated interaction integral, direction predicted using maximum circumferential criterion. For...

Abstract This paper presents a multiscale strategy dedicated to structural optimization. The applications concern the study of geometric details (such as holes, surface profiles, etc) within structures with frictional contacts. first characteristic method is that it uses micro–macro approach. approach based on domain decomposition into substructures and interfaces, which involves resolution independent ‘micro’ problems in each substructure transfers ‘macro’ information only through...

Today, structural analysis involving cracking is being reconsidered in the light of emerging new methods, such as Strong Discontinuity Approach (SDA) introduced by Simo, Oliver and Armero. Other approaches, eXtended Finite Element Method (XFEM) Generalized (GFEM), make use Partition Unity (PUM) first Melenk Babuska 1996. By enabling one to enrich kinematics continuous media, these techniques allow introduction discontinuities into displacement field using only a relatively small number...

Dans cet article, une stratégie de calcul multiéchelle pour le suivi fissure est pré-sentée. Cette a objectif séparer les effets locaux des globaux afin garder un maillage macro inchangé au cours la propagation tout en permettant l'utilisation d'une description fine uniquement où cela nécessaire. Deux points sont discutés : premier choix échelle rendant compte l'effet ; second décomposition du domaine sous-structures et interfaces limiter dans voisinage fissure. L'intégration X-FEM comme...

Download This Paper Open PDF in Browser Add to My Library Share: Permalink Using these links will ensure access this page indefinitely Copy URL DOI

The wear of plain bearings in the variable stator vane (VSV) systems a turbojet engine is significant problem for compressor efficiency and stability requiring adapted models. VSV are located complex system exposed to combined oscillating loads. This study aims predict evolution bearings, considering complexity system's geometry loads with computational time. paper presents three-dimensional formulation this highly nonlinear under simplifying hypotheses objective obtain compromise between...