108 CHAPITRE 3 PROGRAMME DÉTAILLÉ DU CURSUSProgramme- <strong>de</strong> la physique au solfège : son et bruit, productionet propagation du son, gamme et harmoniques,caractéristiques physiques et instrumentales <strong><strong>de</strong>s</strong>notes- physiologie, perception et musique- les théories musicales <strong>de</strong> Pythagore à Rameau- l’ingénierie dans la facture instrumentale au XIXesiècle (système Boehm, saxophone, piano)- les systèmes musicaux (gammes, accords,tempéraments)- le bois et le bois <strong>de</strong> résonance, influence dumatériau sur l’instrument, spécificité <strong><strong>de</strong>s</strong> cor<strong><strong>de</strong>s</strong>,<strong><strong>de</strong>s</strong> vents et <strong><strong>de</strong>s</strong> percussions- les nouveaux matériaux dans la factureinstrumentale (étu<strong>de</strong> <strong>de</strong> cas sur l’archet enmatériau composite, conception et ingénierie dansla facture instrumentale)- visite d’application dans les collections du musée<strong>de</strong> la musique (Cité <strong>de</strong> la musique).NON LINEAR COMPUTATIONALMECHANICSResponsables : G. CAILLETAUD, J.-L. CHABOCHE.ObjectifThe field of Nonlinear Computational Mechanicshas grown very rapidly during the last <strong>de</strong>ca<strong>de</strong>.Due to the dramatic power increase of computersand workstations, research is very active. On theother hand, the <strong>de</strong>velopment of robust and userfriendly engineering software allows a wi<strong>de</strong> rangeof applications in industry. The course presentsan overview of the classical mo<strong>de</strong>ls and of thenumerical methods used in the area, and showshow they can be applied in practical cases. Theoryinclu<strong><strong>de</strong>s</strong> material and geometrical nonlinearities,and the numerical implementation in computerco<strong><strong>de</strong>s</strong>. Applications are taken from classicaldomains like aeronautical, spatial or car industry,but also from microelectronics, the field of energyfor sustainable <strong>de</strong>velopment, biomaterials, etc...Computer labs are planned in the cursus. Stu<strong>de</strong>ntswill be invited to choose their style: as <strong>de</strong>velopers,they will have the opportunity to introduce newfeatures in a selected finite element co<strong>de</strong>; as users,they will have to perform finite element analyseson simple case studies involving material and/orgeometrical nonlinearities.After the course, attendants should have a goodknowledge of some basic aspects in mechanicsof material, including the material constitutiveequations, the numerical algorithms and thefinite element procedures. They will have theability: to choose a material mo<strong>de</strong>l and the properprocedure to i<strong>de</strong>ntify the material parameters fromexperiment; to perform calculations of the stressor temperature fields in nonlinear cases, and tosuccessfully manage the iterative processesassociated to nonlinearities; to <strong>de</strong>al with contactproblems; to evaluate the quality of a FE resultobtained with a nonlinear computation (meshsensitivity, numerical integration).Programme- basic material mo<strong>de</strong>ls: material mo<strong>de</strong>ling,including rheology, plasticity criterion,incremental theory of plasticity, 3D plastic flow,basic har<strong>de</strong>ning rules. I<strong>de</strong>ntification procedures,inverse problems- advanced constitutive equations : cyclic andcomplex loadings, damage mo<strong>de</strong>ls, mo<strong>de</strong>ls forthermomechanical loadings, foams and cellularsystems, hyperelasticity, polymeric materials- finite element formulation: elementary
PROGRAMME DÉTAILLÉ DU CURSUS CHAPITRE 3109introduction of the method for thermal andmechanical applications. Newton technique,element assembly, tangent matrix. Integrationof the constitutive equations, implicit algorithms- geometrical nonlinear and contact analysis,stabilization methods. Stability problems.Localization process. Mesh adaptation- coupled problems (thermal-metallurgicalmechanicalinteractions).OPERATIONS RESEARCH IN THEINDUSTRYResponsable : J.-C. CULIOLIObjectifThis course will focus on three important conceptsof Optimization and Computer Science theory :linear programming (LP), graph theory and dynamicprogramming (DP). Its aim is to provi<strong>de</strong> ATHENSstu<strong>de</strong>nts with a solid background in OperationsResearch so they can tackle real problems in theindustry. The domain of applications is spreadingfrom planning, to logistics, from routing to andinventory control to revenue management.After a two days ”crash-course” in operationsresearch that will focus on fundamental conceptsand techniques, we will work with them on 6 testcasesthat can be found in Airlines or Transportationcompanies, Tele<strong>commun</strong>ication companies,Services and commodities.ProgrammeOR Crash-course = two days- linear Programming- dynamic Programming- duality : how it is used in algorithms- integer and Mixed-Integer Programming- graph Theory : the main mo<strong>de</strong>ls- heuristics, Branch & Bound, Column generation- advanced Mo<strong>de</strong>ling.Applications = three days- inventory control- planning and assignment problems- network optimization- scheduling- routing, Shortest-Path problems- revenue Management .OPTIMISATIONResponsables : N. PETIT, P. CARPENTIER.ObjectifCe cours commence par donner les outils <strong>de</strong> baseen optimisation avec ou sans contraintes pour lesproblèmes continus <strong>de</strong> dimension finie. Ensuite, ondéveloppe <strong>de</strong>ux thèmes. Le premier concerne lesproblèmes discrets et l’optimisation combinatoireENSEIGNEMENTS AU CHOIX2 ÈME / 3 ÈME ANNÉE