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Topics in continuum mechanics

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2023-2024
Period: 
October - February
Duration: 
60 h
Description: 

This is a 60-hours introductory course on continuum mechanics and its applications. The aim is to provide first year students with a solid understanding of the fundamental principles of the subject. Topics covered by the course will include but are not limited to: i) reminders on tensor algebra and calculus; ii) kinematics of deformable bodies (deformation, motion, material and spatial description of relevant fields); iii) balance laws of continuum mechanics (conservation of mass, balance of linear and angular momentum, and their consequences); iv) constitutive assumptions and invariance of material response under a change in observer; v) continuum thermodynamics (energy balance, entropy imbalance, Clausius-Duhem inequality, Helmholtz free energy, Coleman-Noll procedure); vi) selected topics in fluid mechanics, solid mechanics, and on the mechanics of biological systems and active materials.

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: 
Thursday, November 30, 2023 - 16:00 to 18:00
Monday, December 4, 2023 - 16:00 to 18:00
Thursday, December 7, 2023 - 16:00 to 18:00
Monday, December 11, 2023 - 16:00 to 18:00
Thursday, December 14, 2023 - 16:00 to 18:00
Monday, December 18, 2023 - 16:00 to 18:00
Thursday, December 21, 2023 - 16:00 to 18:00
Monday, January 8, 2024 - 16:00 to 18:00
Thursday, January 11, 2024 - 16:00 to 18:00
Monday, January 15, 2024 - 16:00 to 18:00
Thursday, January 18, 2024 - 16:00 to 18:00
Monday, January 22, 2024 - 16:00 to 18:00
Thursday, January 25, 2024 - 16:00 to 18:00
Monday, January 29, 2024 - 16:00 to 18:00
Thursday, February 1, 2024 - 16:00 to 18:00
Monday, February 5, 2024 - 16:00 to 18:00
Thursday, February 8, 2024 - 16:00 to 18:00

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