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Mechanics and Geometry of Active Materials

Academic Year: 
2017-2018
Period: 
May-June
Duration: 
20 h
Description: 
  • Introduction to the physics and applications of active materials: polymers, gels, natural and biological tissues
  • A mechanical framework for active materials: metric description of elasticity with active strains
  • Preliminaries: concepts and tools from three-dimensional differential geometry and differential geometry of surfaces
  • Compatibility of active strains
  • Dimension reduction: derivation of a Koiter-like plate theory from 3D elasticity with acrive strains
  • Applications to shape morphing
  • Non-linear poroelasticity: a coupled theory for swelling gels
  • Preliminaries: Thermodynamics and constitutive equations: dissipation inequality and Coleman-Noll procedure
  • Neo-Hookean elasticity and mixing energy for polymer solutions (Flory-Rehner theory)
  • Applications to soft actuators: swelling-induced bifurcations

Location: On Wednesday 6/6 the class will be held in A-005. 

Location: 
A-133
Next Lectures: 

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