Variational Models and Methods in Solid and Fluid Mechanics
Invited Lecturers
- Victor Berdichevsky (Wayne State University, Detroit, USA)
- 6 lectures on: STOCHASTIC VARIATIONAL PROBLEMS IN SOLID MECHANICS. The applications of the methods of stochastic calculus of variations to the problems of solid mechanics will be discussed. The special attention will be paid to homogenization problems and modeling of microstructures and their evolution.
- Antonio Carcaterra (Università "La Sapienza", Roma, Italy)
- 6 lectures on: NEW CONCEPTS IN DAMPING GENERATION AND CONTROL: THEORETICAL FORMULATION AND INDUSTRIAL APPLICATIONS. The course is focused on a new class of dynamical problems where the energy initially conferred to a system undergoes a principle of irreversible energy confinement into a small region. The analysis includes also applications to engineering problems.
- Francesco Dell'Isola (Università "La Sapienza", Roma, Italy)
- 6 lectures on: VARIATIONAL METHODS IN CONTINUUM MECHANICS FOR HETEROGENEOUS MEDIA. To prove the effectiveness of variational methods an extended Hamilton-Rayleigh principle is used to determine the evolution equations for systems in which fluid flow occurs in deformable porous matrices. A general set of boundary conditions at fluid-permeable interfaces between dissimilar fluid-filled porous matrices can also be established.
- Gilles A. Francfort (Université Paris Nord, Villetaneuse, France)
- 6 lectures on: BRITTLE FRACTURE REVISITED will present a variational model which does away with many of the obstacles of the classical theory of fracture while departing as little as feasible from Griffith's theory. The focus will be on the mathematical state of the art for this model, and on its impact upon crack kinking.
- Sergey Gavrilyuk (Polytech Marseille, France)
- 6 lectures on: VARIATIONAL MODELS FOR MULTIPHASE FLOWS. The aim of the lectures is to use the Hamilton principle as a tool for building new models of complex media. The difficulty in using such an approach is in the construction of the Lagrangian describing various physical systems. The multiphase variational approach will also be applied to diffuse solid-fluid interfaces.