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Here - the ESAFORM 2008 Conference - INSA de Lyon

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Discrete Element method, a tool to investigate contacts in materialformingI. Iordanoff 1 , D. Richard 2 , S. Tcherniaieff 11 ARTS ET METIER PARITECH, LAMEFIP – Esplana<strong>de</strong> <strong>de</strong>s ARTS et Metiers, Talence, FRANCEURL: www.lamef.bor<strong>de</strong>aux.ensam.fre-mail: ivan.iordanoff@lamef.bor<strong>de</strong>aux.ensam.fr; Serge.tcherniaeff@bor<strong>de</strong>aux.ensam.fr2 <strong>INSA</strong> <strong>de</strong> LYON, LAMCOS – 18-20 Rue <strong>de</strong>s Sciences, 69621 Villeurbanne Ce<strong>de</strong>x, FRANCEURL: lamcos.insa-lyon.fre-mail:david.richard@insa-lyon.fr;ABSTRACT: This paper is <strong>de</strong>voted to <strong>the</strong> <strong>de</strong>scription of a numerical tool that allows <strong>the</strong> local study ofcontacts in material forming: Discrete Element Method (DEM). Discrete Element Methods allow <strong>the</strong> study oflocal properties (cohesion, <strong>the</strong>rmal generation, fractures) on process behavior. This tool is used as moleculardynamics but allows <strong>the</strong> simulation of much representative volumes. Discrete element method is applied as atool to un<strong>de</strong>rstand/propose/confirm, physical scenario involved in <strong>the</strong> contact zone. It is shown in this paperhow such numerical simulations can be used as a complementary tool for forming processes study. Examplesare given on <strong>the</strong>rmal study in cutting process, subsurface damages analysis in abrasion process and weldingjoint characterization in Friction Stir welding.Key words: Discrete Element Method, Abrasion process, Friction Stir welding, Tool Machining.1 INTRODUCTIONDiscrete element method has been wi<strong>de</strong>ly <strong>de</strong>velopedfor rheological study of true discrete materials likesand, pow<strong>de</strong>r and granular materials [1]. In <strong>the</strong> pastten years, <strong>the</strong>ir fields of applications have beenexten<strong>de</strong>d to heterogeneous materials like concrete,biological materials or foams. Their ability tosimulate multi body behavior is used for problemswhere:- A great number of dissociated elements mustbe taken into account,- A great number of <strong>de</strong>fault is encounteredThe main recent fields of applications are multifracturesproblems, where <strong>de</strong>tached elements mustbe taken into account (wear in tribology [2],avalanches in geophysic, milling, grinding …).In material forming or cutting, <strong>the</strong> contact zonebetween <strong>the</strong> tool and <strong>the</strong> working piece is often verydifficult to analyze because:- The affected area has little dimension,- High mechanical, rheological, <strong>the</strong>rmalgradient are involved,- Physical phenomena are highly dynamic.To analyze <strong>the</strong> contact behavior Go<strong>de</strong>t <strong>de</strong>veloped<strong>the</strong> third body concept [3]. This inclu<strong>de</strong>d a<strong>de</strong>scription of <strong>the</strong> formation and movement offragmented particles in <strong>the</strong> interface region. Tostudy <strong>the</strong> behavior of <strong>the</strong> third body insi<strong>de</strong> andoutsi<strong>de</strong> <strong>the</strong> contact, Berthier proposed [4] <strong>the</strong>tribological circuit which allows <strong>the</strong> study of masstransfers insi<strong>de</strong> <strong>the</strong> contact. Based on thistribological circuit and coupling Discrete Elementmo<strong>de</strong>ls (DEM) to experimental, but simplified, wearstudies, Fillot et al [5] proposed a set of equationsthat allows a qualitative mo<strong>de</strong>ling of wear as a massbalance in <strong>the</strong> contact area. Iordanoff et al. [6]showed how abrasion process can be studied as aparticular and controlled wear process.This paper first presents <strong>the</strong> Discrete ElementMethods <strong>de</strong>veloped in <strong>the</strong> special case of materialforming. Then, three examples are given to illustratehow this numerical tool can be used to study localproperties in material forming: investigation of SubSurface Damage in abrasion process, welding jointcharacterization in Friction Stir welding and <strong>the</strong>rmalinvestigation of <strong>the</strong> tool-chip contact during cuttingoperation.

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