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Topics in Continuum Mechanics

Course Type: 
PhD Course
Academic Year: 
2016-2017
Period: 
October-February
Duration: 
60 h
Description: 

Description:

  • Reminders on Linear Algebra and Tensor Calculus
  • Kinematics of deformable bodies
  • Eulerian and Lagrangian descriptions of motion
  • The balance laws of continuum mechanics:¬†Balance of linear and angular momentum, Energy balance and dissipation inequality,¬†Conservation of mass
  • 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
  • P. Ciarlet, Mathematical Elasticity, Elsevier 1993
Location: 
A-133
Next Lectures: 

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