Uncertainties and heterogeneities in real structures

The Solid Mechanics TC considers the materials constituting structures as homogeneous materials whose mechanical and physical characteristics have a deterministic value. The actions were also considered as being deterministic actions for the dimensioning of the sections. However, real structures are often subject to actions, which by nature are random; these structures are manufactured using processes that induce a certain variability in properties. We will see in this course how to take this complex reality into account in a sizing process which must remain simple for the engineer.

Part 1: Statistical characterization of stresses, materials in mechanical models, introduction to the reliability of structures, partial safety factors Part 2: Additional structural mechanics Part 3: Heterogeneous sections and specific approach to their design, calculation at failure.