Continuum Mechanics

UNIVERSITÀ “LA SAPIENZA”, ROMA

master degree in INGEGNERIA DELLE NANOTECNOLOGIE - NANOTECHNOLOGY ENGINEERING

CONTINUUM MECHANICS

academic year 2023/2024 - teacher in charge: Giuseppe C. Ruta

1. Three dimensional continua

Geometry, transformations, motions, descriptions of motion. Rigid body motions, power of outer actions, global balance equations. Deformation as rigidity defect, strain measures, 'infinitesimal' strain. Power of inner actions, stress, bulk and boundary local balance equations. States of stress and their representation. Linear elastic constitutive relations, linear elastic static problem and its resolution techniques. Yield criteria.

2. One-dimensional structured continua

Geometry, stress resultants, local balance for stress resultants, equation of the 'elastica', linear elastic static problem and its resolution techniques. Saint-Venant's hypothesis and conjecture. Extension, torsion, bending, flexure for compact sections, hints to 'thin' profiles. Resolution of benchmark problems for plane beams.

Suggested handbooks:

R. C. Hibbeler, Mechanics of materials, Pearson, 2022.
W. Lacarbonara, Nonlinear structural mechanics, Springer, 2013.
C. A. Truesdell, A first course in rational continuum mechanics, Academic Press, 2016.
L. A. Malvern, Introduction to the mechanics of a continuous medium, Pearson, 1977.

In order to facilitate attending classes, please join the Classroom group Continuum Mechanics, https://classroom.google.com/c/NjI1MzgxOTY1NzAy?cjc=3kqwzci, where links for remote connections are given and where all material will also be uploaded.