italian version

Aims :

The course aims to complete the knoweledges acuired in the previous course of Scienza delle Costruzioni (L) with a view towards theoretical aspects.

Topics :

Linear elasticity. Constitutive relations: material symmetries and the elasticity tensor; anisotropic materials. The elastic problems of position, traction and mixed. Energetical methods and variational formulation: minimum and mixed principles (Hu-Washizu and Hellinger-Reissner-Prager). The Saint-Venant for anisotropic solids with the Voigt's and Clebsch's hypotheses.
Plates: the Kirchhoff and Reissner-Mindlin models for anisotropic materials.
Dynamics; progressive plane waves and the acoustical tensor. Rods and plates dynamics: wave solutions and separable solutions: eigenvalue problems. Stability.


Textbooks :

Notes.
M.E. Gurtin - An introduction to Continuum Mechanics, Academic Press, 1981
M.E. Gurtin - The Linear Theory of Elasticity, in Mechanics of Solids, vol. II, Springer Verlag, 1984.
S.P. Timoshenko, S.Woinowsky-Krieger-Theory of Plates and Shells , McGraw-Hill, 1982.
S.P. Timoshenko, D.H. Young, W. Weaver Jr.- Vibrations problems in engineering, John Wiley & Sons, 1974.

Exam :

The final test consists of a written test and an oral colloquia. The written test requires the study of a simple hyperstatic plane frame.

Tutorial Session :

The hour which follows class hours is reserved to colloquia with students. E-mail questions are welcome.