The first lecture will be held on September 24, 2026, as scheduled in the Faculty’s academic calendar.
24/09/2026
Course introduction. Entry-level test.
30/09/2026
Elements of linear algebra: vectors, second order tensors, tensor product, transpose tensor, composition of tensors, symmetric and skew-symmetric tensors, trace, scalar product, norm, inverse, determinant.
01/10/2026
Orthogonal tensors.
Kinematics of continua: deformation, deformation gradient.
07/10/2026
Deformation gradient. Displacement and displacement gradient. Change in length, in area, in volume. Right Cauchy-Green tensor.
08/10/2026
Homogeneous deformations. Rigid deformations. Strain measures, the right stretch tensor.
14/10/2026
Polar decomposition. Left Cauchy-Green tensor, left stretch tensor. The Green-Saint-Venant strain tensor.
15/2026
Infinitesimal theory. Infinitesimal strain tensor, infinitesimal rotation tensor.
21/10/2026
Infinitesimal theory. Changes in length, volume, area, angle. Elementary deformations: uniform elongation, shear.
22/10/2026
Worked examples.
28/10/2026
Motion velocity, velocity gradient, stretching, and spin.
Mass Balance. Force and Moment Balance. Force Systems. Internal Actions: Stress. Euler’s Axiom
29/10/2026
Localization Lemma. The Hamel-Noll Theorem. The Cauchy Theorem: Geometry of the Tetrahedron, Cauchy’s Lemma