Provide the knowledge necessary to model the constitutive behavior of granular materials and solve the equilibrium problems in continuum mechanics.
Prerequisites
Basics of Mathematical Analysis and Mechanics of materials and structures.
Teaching Methods
Theoretical lessons and exercises.
Type of Assessment
Oral examination.
Course program
Elements of Solid Mechanics: deformation, stress and constitutive equations of linear elastic materials.
Explicit solution of some equilibrium problems.
Theory of plasticity: main yield criteria (v. Mises, Tresca, Mohr-Coulomb, Drucker-Prager); dissipation postulates and their consequences; flow rule; elastoplastic equilibrium, uniqueness and stability of the solution.
Limit analysis: weak formulation of the equilibrium condition; static and kinematic theorems; applications to soil plasticity.
