Structural Optimization with Uncertainties

Prototype Problems.- Guaranteed Approaches.- Probabilistic Uncertainties.- Optimization in Frame of Guaranteed Approach.- Uncertainties and Worst Case Scenarios.- Optimal Design of Beams and Plates with Uncertainties.- Uncertainties in Fracture Mechanics and Optimal Design Formulations.- Beams and Plates with Brittle-Fracture Constraints.- Optimization of Axisymmetric Shells Against Brittle Fracture.- Shape and Thickness Distribution of Pressure Vessels.- Brittle and Quasi-Brittle Materials.- Gravity Forces and Snow Loading.- Damage Characteristics and Longevity Constraints.- Optimization of Shells Under Cyclic Crack Growth.- Uncertainties in Material Characteristics.- Probabilistic and Mixed Probabilistic - Guaranteed Approaches.- Some Basic Notions of Probability Theory.- Probabilistic Approaches for Incomplete Information.- Optimization Under Longevity Constraint.- Mixed Probabilistic-Guaranteed Optimal Design.