( english version )
Advanced structural mechanics A ( 5 CFU )
Prof. Andrea Spagnoli
     Tel. 0521.905927 - Fax. 0521.905924           E-mail. andrea.spagnoli@unipr.it

Finalità
To present basic concepts and tools for structural design, with reference to elastic framed structures, plates and shells. Fundamentals of Fracture Mechanics.

Programma
Complex statically indeterminate framed structures.
Force method and displacement method: general concepts. Approximate methods (hypothesis of inextensibility): frames with fixed or mobile nodes.

Bending of plates.
Germain-Lagrange hypotheses. Displacement components, strains, stresses and generalized stresses. Equation of Germain-Lagrange, boundary conditions. Finite difference method: approximate solutions for beam structures and rectangular plates. Equation of Germain-Lagrange in polar coordinates; closed-form solution for axisymmetric plates.

Shells of revolution.
Geometrical and loading characteristics. Membrane and bending generalized stresses. Membrane regime: equilibrium equations, examples. Bending regime for a cylindrical shell: comparison with the problem of a beam on elastic foundation (Winklerĺs constraints).

Plane stress and plane strain states.
Stress function or Airy function. Plane stress state for a solid of revolution: Airy function in polar coordinates; axisymmetric loading (example of a thick-walled cylinder submitted to internal or external pressure).

Fundamentals of Fracture Mechanics.
Energetic criterion by Griffith and fracture energy. Stress method by Westergaard. Relationship between fracture energy and critical stress-intensity factor (fracture toughness). Analysis of the crack propagation due to cyclic loading (fatigue phenomena): experimental approach (W÷hler curves) and analytical approach (Paris-Erdogan law).

Attività d'esercitazione
Theory supported by exercises.

Modalità d'esame
Oral examination

Propedeuticità
Analisi A-B, Analisi C, Geometria, Meccanica Razionale, Scienza delle Costruzioni A (Structural Mechanics A), Scienza delle Costruzioni B (Structural Mechanics B).

Testi consigliati
Documentation provided by the teacher.
A. CARPINTERI: "Scienza delle Costruzioni", Vol. 1 e 2, Ed. Pitagora, Bologna.
A. CARPINTERI, "Structural Mechanics", E&FN Spon, London.
E. VIOLA: "Esercitazioni di Scienza delle Costruzioni", Ed. Pitagora, Bologna.
M. CAPURSO: "Lezioni di Scienza delle Costruzioni", Ed. Pitagora, Bologna.
V. FRANCIOSI: "Fondamenti di Scienza delle Costruzioni ", Ed. Liguori, Napoli.
A. MACERI: "Scienza delle Costruzioni", Accademica, Roma.
A. CASTIGLIONI, V. PETRINI, C. URBANO: "Esercizi di Scienza delle Costruzioni", Ed. Masson Italia, Milano