Course Objectives.
The main objective of this course is to provide engineers who use computer codes, graduate students, and researchers with an extensive review of FE based numerical models and solution algorithms for nonlinear mechanics. It presents the current state-of-the-art in finite element modelling of nonlinear problems in solid and structural mechanics, and their coupling with thermal fields. It will illustrate the difficulties (and their solutions), which appear in a number of applications from mechanical, aerospace or civil engineering and material science. All the sources of nonlinear behaviour are present in a systematic manner, related to kinematics, equilibrium, constitutive equations, or boundary and coupling conditions. Special attention is paid to dealing with a class of problems with nonlinear constitutive behaviour of materials, large deformations and rotations of structures and instability problems with either material (localisation) or geometric (buckling) nonlinearities, which are needed to fully grasp any weakness of a particular structural design near the ultimate limit state. In addition, multi-physics models will be addressed, with a special emphasis on thermal coupling and fluid-structure interaction. The course will also provide insight into the practical aspects of the Finite Element Method, related to making the choice of a particular element type, the constitutive model, or integration scheme among those available in advanced computer codes. Our second objective is thus to provide the participants with a solid basis for using the FEM based models and software in trying to achieve the optimal design, and/or to carry out a refined analysis of nonlinear behaviour of structures or multi-body systems. The course finally provides a basis to account for any pertinent multi-physics and multi-scale effects, which are likely to achieve a significant break-through in a number of industrial applications.
Time Schedule.
July 1-4 2013, 30 units of instruction,
Monday, Tuesday, Wednesday: 8:30-10:00, 10:30-12:00, 13:30-15:00, 15:30-17:00 and
Thursday: 8:30-10:00, 10:30-12:00, 13:30-15:00.
  • Introduction: Variational formulations in nonlinear solid mechanics
  • FEM technology for 2D/3D BVP in elasticity
  • Inelastic constitutive behaviour at small strains
  • Advanced constitutive models
  • Nonlinear solid mechanics problems at large displacements
  • Instability of structures and materials
  • Advanced aspects of multi-scale problems
  • Multi-physics, coupled and interaction problems
Requirements and Credits.
Attending lectures and successful completion of home exercises will be credited with 5 ECTS.
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Course Material.
The course material will consist of copies of transparencies from the lectures, survey papers by the lecturer, recent manuscripts and lecture notes.
Also, a copy of the course textbook (A. Ibrahimbegovic, “Nonlinear Solid Mechanics: Theoretical Formulation and Finite Element Solution Methods”, Springer 2009) will be given to the participants.
The course lecturer Adnan Ibrahimbegovic is Professor (Classe Exceptionnelle) at one of the elite engineering schools in Paris, Ecole Normale Supérieure Cachan. He has obtained his engineering education in Sarajevo (winner of 1986 Fulbright Grant), PhD at the University of California at Berkeley, USA and Habilitation at the University of Pierre and Marie Curie (Paris VI), France. He has held professorships and research positions at four different universities (including UC Berkeley, EPFL in Switzerland, UTC, France and currently ENS-Cachan in France). He is the past Chairman of ENS-Cachan Civil Engineering Department, Master Program MaiSE and Head of Civil Engineering Division of LMT-Cachan, the largest French laboratory in mechanics. He has received a number of international distinctions, including IACM Fellow Award, Humboldt Prize for senior researchers for Germany and International Fellow NSERC Award for Canada. He has produced over 400 publications, including 130 papers in scientific journals and 6 textbooks and monographs.