Mechanics and Electrodynamics of Magneto- and Electro-Elastic Materials
Invited Lecturers
- Antonio De Simone (SISSA, Trieste, Italy)
- 6 lectures on: Nematic Elastomers and Gels (LCEs): variational models of the quasistatic response to mechanical loads; soft deformation paths as quasi-convex hulls of the sets of spontaneous strains; quasiconvex envelope of the energy density and its use in finite-element simulations; static and dynamic response to applied electric fields.
- Luis Dorfmann (Tufts University, Medford, MA, USA)
- 6 lectures on: Extension of the basic constitutive laws, governing equations and boundary conditions for quasi-static deformations of electro-sensitive and magneto-sensitive solids to their counterparts for incremental deformations superposed on a state of finite elastic deformation; applications to stability analysis and elastic wave propagation.
- Gérard A. Maugin (Université Pierre et Marie Curie/CNRS, Paris, France)
- 6 lectures on: The basics of electromagnetics in matter, with emphasis placed on the notions of electromagnetic forces, momentum and stresses, on the general thermomechanical framework, and on applications to magnetoelasticity at different scales; the notions of internal stresses, internal variables, homogenization, ferromagnetic polycrystals and configurational forces.
- Raymond W. Ogden (University of Glasgow, UK)
- 5 lectures on: Physical background on electro-magnetic effects in polymeric materials; formulation of constitutive equations describing the interaction of mechanical and magnetic (or electric) effects for magneto-active (or electro-active) solids capable of large recoverable deformations; solution of prototype boundary-value problems.
- Paul Steinmann (University of Erlangen-Nuremberg, Germany )
- 6 lectures on: Computational aspects of the simulation of electro/magneto-elastic continua at large strains, including FEM, BEM and FEM-BEM coupling; theoretical and computational aspects of the configurational mechanics of these electro/magneto-active materials, including configurational forces and Eshelby’s tensor; computational examples.