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Topics in Continuum Mechanics

  • Reminders on Linear Algebra and Tensor Calculus
  • Kinematics of deformable bodies
  • Eulerian and Lagrangian descriptions of motion
  • Balance laws of continuum mechanics: conservation of mass, balance of linear and angular momentum, energy balance and dissipation inequality
  •  Constitutive equations
  •  Fluid dynamics: the Navier Stokes equations
  •  Solid mechanics: nonlinear and linearized elasticity
  •  Selected topics from the mechanics of biological systems

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