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Mathematical Theory of Elasticity

Course Type: 
PhD Course
Academic Year: 
2012-2013
Period: 
March-April
Duration: 
20 h
Description: 
  • Nonlinear elasticity: derivation of the equilibrium equations.
  • Existence theory via the implicit function theorem (Korn inequality, existence theory for linearized elasticity) and by variational methods (polyconvexity, weak continuity of minors, Ball's Theorem).
  • Properties of solutions: global invertibility, singularities (cavitations).
  • Rigorous relation between nonlinear and linearized elasticity in terms of Gamma-convergence.
  • If time permits, lower dimensional models.
Location: 
A-133

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