graduate course MICROMECHANICS 2 4 November November 2004

Transcription

1 graduate course MICROMECHANICS 2 4 November November 2004 Materials Technology Department of Mechanical Engineering Eindhoven University of Technology

2 General This course is an initiative of the Dutch graduate school Engineering Mechanics with the support of the Belgian GrasMech graduate school. Research groups from different universities (TU/e, RuG, ETH, UCL, QMUL) are actively contributing to this course, whereas Philips has accepted to illustrate micromechanical aspects from an industrial perspective. The course is part of the Engineering Mechanics national four years training programme for research students. As part of this programme a series of graduate courses is organized, related to the following research themes: Computational Mechanics, Mechanics of Materials, Structural Dynamics and Control, Structural Mechanics. Objective The engineering response of materials and small scale structures essentially results from the physics and mechanics of their underlying microstructure. Elastic, inelastic and fracture properties are strongly governed by small scale processes, involving different spatial and temporal scales. At the micromechanical level, multiphase structures, voids, grains, interfaces and second-phase particles play an intrinsic role. On top of that, deformation mechanisms may alter upon miniaturization and boundary conditions start to play a dominant role. Micromechanics allows to investigate the intrinsic evolving structureproperty relations of engineering materials on the one hand, and predict the complex mechanical behaviour of micro-systems on the other hand. The objective of the graduate course on micromechanics is to provide a selective introduction into this wide interdisciplinary field of science. The course attempts to cover a variety of aspects in this field, where particular aspects in metals, polymers, composites, concrete, etc. will be addressed. Analytical and computational frameworks are presented and generic experimental techniques used in micromechanics are illustrated. Various microstructural approaches will be highlighted, emphasizing size effects, statistical effects, fracture, boundary effects, etc. along with their impact on the response of engineering materials and/or micro-systems. Local organization The course is organized by the Materials Technology group of the Mechanical Engineering Department of the TU/e. The local organizing committee is composed of Marcel Brekelmans Hans van Dommelen Marc Geers (chairman) Varvara Kouznetsova Alice van Litsenburg (secretary) Ron Peerlings Piet Schreurs Lecturers W.A.M. Brekelmans (TU/e) I. Doghri (UCL, Louvain-la-Neuve) J.A.W. van Dommelen (TU/e) M.G.D. Geers (TU/e) E. van der Giessen (RuG) J.M.R.J. Huyghe (TU/e) V.G. Kouznetsova (NIMR, TU/e) J.G.M. van Mier (ETH, Zürich) P.R. Onck (RuG) R.H.J. Peerlings (TU/e) A.A.J.M. Peijs (Queen Mary, London) P.J.G. Schreurs (TU/e) J.M.J. den Toonder (Philips, TU/e) Lecture notes Lecture notes will be distributed during the course. Prerequisites Basic undergraduate courses in Materials science, Mechanics of materials, Continuum Mechanics and the Finite Element Method.

3 Contents I INTRODUCTION & PRINCIPLES - vectors, tensors, notations - mathematical principles - continuum mechanics - overview and classification V Quasi-brittle failure of hard coatings modeled through a discrete lattice CELLULAR and POROUS MATERIALS II III HOMOGENIZATION METHODS FOR HETEROGENEOUS MATERIALS - averaging and mean-field theories - Eshelby and Mori-Tanaka approaches - self-consistent methods - cell methods - effective and apparent properties for inelastic solids - computational homogenization for highly nonlinear solids MICROPLASTICITY IN METALS - discrete dislocation plasticity - crystal plasticity: single and polycrystalline models - scale size effects - micromechanics and fracture of foams - plasticity of porous materials VII MULTI-PHASE MICROSTRUCTURES - discrete & lattice models: fundamentals, elasticity and fracture - martensitic phase transformations - microstructure evolution VIII LAB and TRAINING SESSIONS - observing and testing across length scales - computational homogenization in practice - crystal plasticity calculations - Metallic foams IV MICROMECHANICS OF POLYMERS AND COMPOSITES - multi-scale mechanics of semi-crystalline polymers - fibre-reinforced composites IX µmech in INDUSTRY - excursion to Philips Research Multi-scale mechanics in crystalline solids: from continuum to discrete lattice

4 Location/date The course will take place at the Eindhoven University of Technology (Department of Mechanical Engineering) in two modules of three days each, i.e. November 2-4 and November 8-10, P P2004, respectively. The course language is English. A list of hotel accommodations in the vicinity of the course-location is available upon request. Participants are required to contact the hotels directly. Further information On the UcontentsU of the course: Prof.dr.ir. M.G.D. Geers, TU/e, Tel.: +31- (0) , FAX: +31-(0) , m.g.d.geers@tue.nl On the UorganizationU of the course: Mrs. W. van den Oever, TU/e, Tel.: +31-(0) /48 17, FAX: +31-(0) , EMschool@tue.nl. Fee/Registration The course is free for registered members of the graduate schools Engineering Mechanics and GrasMech and for the research members of the contributing research groups. For other participants the course fee is 1000 (1000 Euro). They will receive an invoice after accepted registration. Participants need to register by completing the enclosed registration form st and returning it before October 1P P, 2004 to the Secretariat of the Graduate School Engineering Mechanics, c/o Eindhoven University of Technology, Mrs. W. van den Oever, P.O.Box 513, W-hoog 2.113, 5600 MB Eindhoven NL, Fax: +31-(0) Members of the Graduate School Engineering Mechanics receive priority in case of over-subscription. Upcoming courses In addition to the present course, the Graduate School Engineering Mechanics organizes graduate courses on: Nonlinear Dynamics and Control Computational Methods for Material and Structural Instabilities Multibody Dynamics Engineering Optimization Mechanics of Forming Processes For further information on these courses and on other activities of the Graduate School Engineering Mechanics please visit the WWW-pages at: or contact: Graduate School Engineering Mechanics, c/o Eindhoven University of Technology, Mrs. W. van den Oever, P.O.Box 513, W-Hoog 2.113, 5600 MB Eindhoven NL, EMschool@tue.nl, Tel.: +31- (0) /27 10, Fax: +31- (0) Micro-loading stage mounted in a scanning electron microscope

5 REGISTRATION FORM EM-Graduate Course: Micromechanics nd th th th Eindhoven, November 2P P - 4P P, 2004 and November 8P P-10P P, 2004 Please complete this form and return it before October 1P Participant: Secretariat Graduate School Engineering Mechanics, c/o Eindhoven University of Technology, Mrs. W. van den Oever, P.O.Box 513, Building W-hoog 2.113, 5600 MB Eindhoven NL, Fax: st P, 2004 to: Name+Initials: Title: Prename: Date of Birth: Office address: Phone: Fax: Date: Signature: Members of the Graduate School Engineering Mechanics only: University: Department: Research adviser (if applicable): Signature of research adviser: If necessary, the registration fee has to be paid in Euro ( ) by bank transfer to the account: Foundation SFW, Engineering Mechanics, ABN-AMRO Bank, Eindhoven, Bank account No.: , SWIFT-Header for international bank transfer: ABNANL2R.

6 Secretariat Graduate School Engineering Mechanics, c/o Eindhoven University of Technology, Mrs. W. van den Oever P.O.Box 513, Building W-hoog 2.113, 5600 MB Eindhoven NL