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Topics in Continuum Mechanics

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2021-2022
Period: 
October-February
Duration: 
60 h
Description: 
  • 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

 Books:

  • M. Gurtin, Introduction to Continuum Mechanics, Academic Press, 1981
  • M. Gurtin, L. Anand, and E. Fried, The Mechanics and Thermodynamics of Continua, Cambridge UP, 2010
  • D. Bigoni, Nonlinear Solid Mechanics, Bifurcation Theory and Material Instability, Cambridge UP, 2012
  • P. Podio-Guidugli, Continuum Thermodynamics, Springer, 2019
Location: 
A-133
Next Lectures: 

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