Advanced Mathematics Aerospace Materials I and II Introduction to Structural Analysis Aerospace Structures

- Understanding of the concept of instability and the loading conditions in which it appears. - Ability to calculate the onset of instability in aerospace structures. - Understanding the effects that cycling loading, stress level and geometric configuration have on the life of structural members. - Understanding the mechanism by which cracks grow and variables that affect their growth rate. - Ability to calculate when aerospace structures will fail when subjected to cycling loading. - Knowledge of design concepts and inspection methods that will safeguard aerospace structures from catastrophic failure.

CE.TE.VA1: Adequate and applied engineering knowledge of: Fracture mechanics of the continuous medium and dynamic, structural instability fatigue and aeroelasticity approaches. CE.TE.VA7: Applied knowledge of: aerodynamics; mechanics and thermodynamics, flight mechanics, aircraft engineering (fixed wing and rotary wing), theory of structures. CE.TE.PA3: Adequate knowledge and applied engineering knowledge of: Fracture mechanics of the continuous medium and dynamic, structural instability fatigue and aeroelasticity approaches. RA4: Graduates will be able to carry out initial research methods approaches commensurate with their level of knowledge involving literature searches, design and execution of experiments, data interpretation, selection of the best proposal and computer simulation. RA5: Be able to apply their knowledge and understanding to solve problems and design devices or processes in the field of aerospace engineering in accordance with criteria of cost, quality, safety, efficiency and respect for the environment.

1) Stress Analysis of Aircraft Components - Structural Idealization - Wing spar and box beams - Wings - Fuselage 2) Structural Stability - Columns: Elastic buckling of ideal columns. Euler Curve. Inelastic buckling of columns. Euler-Engesser Curve. Real effects on column stability: Imperfections. Local Buckling and Crippling. The Johnson-Euler curve. - Plates: Elastic buckling of plates (compression, bending, shear and combined loading). Plastic effects in plate buckling. Effect of panel curvature. Panel failure: compression and shear panels. Diagonal Tension. 3) Structural Integrity: - Constant and variable amplitude fatigue: SN Curves. Stress concentrations. Cycle counting. Cumulative damage rules. Residual stresses. Design Criteria. - Linear Elastic Fracture Mechanics: Energy release rate and Stress Intensity Factors. Plastic zone size. Fracture Toughness and failure prediction. Thickness effects on Fracture Toughness. The plane strain Fracture Toughness test. - Fatigue Crack Growth: Fatigue crack growth rate curve. Stress ratio effects. Paris Law and other analytical representations. - Damage Tolerance Analysis: Life prediction. Closed form integration for constant Beta and Paris Law. Retardation effects. Design Criteria.

Theory sessions. Problem sessions working individually and in groups. Experimental and numerical Lab-sessions.