Classical and Advanced Theories of Thin Structures: Mechanical and Mathematical Aspects
Invited Lecturers
- Philippe G. Ciarlet (City University of Hong Kong, Hong Kong, Hong Kong)
6 lectures on:
Mathematical foundations of shell theory: differential geometry of surfaces; Korn’s inequality on a surface; linear shell theory; nonlinear shell theory.- Irene Fonseca (Carnegie Mellon University, Pittsburg PA 15213-3890, USA)
6 lectures on:
Optimal design problems for thin films. Brittle thin films. Inhomogeneous thin films with varying profiles. Bending moment in membrane theory. A Young measure approach to a nonlinear membrane model. Higher order membrane theories.- Antonino Morassi (Università di Udine, Udine, Italy)
3 lectures on:
Introduction to linear elasticity. Weak formulations and regularity results in linear elasticity.- Stefan Müller (M. Planck Institute for, Leipzig, Germany)
6 lectures on:
Derivation of a hierarchy of plate models from nonlinear elasticity by Gamma-convergence. Membrane, bending, Föppl-von Kármán, linearized Föppl-von Kármán theories.- Roberto Paroni (Università di Sassari, Alghero, Italy)
3 lectures on:
Introduction to nonlinear elasticity. Elements of functional analysis and their applications to nonlinear elasticity.- Danilo Percivale (Università di Genova, Genova, Italy)
6 lectures on:
Asymptotic developments via Gamma-convergence. Thin elastic beams. Thin elastic-plastic plates.- Paolo Podio Guidugli (Univ. di Roma Tor Vergata, Roma, Italy)
6 lectures on:
Deduction of classical thin-structure models via the method of internal constraints: Kirchhoff-Love, Reissner-Mindlin and von Kármán models for plates. Relation between scaling methods and methods based on variational techniques.