Portale di Ateneo - En.Unibs.it

Incremental elastic-plastic constitutive equations fir the uniaxial case. Perfect plasticity, isotropic and kinematic hardening. Incremental elastic-plastic constitutive equations for multi-axial problems. Yield surfaces. Equations of complementarity. Drucker's postulate. von Mises, Tresca and other constitutive models. Hints to the deformation theory of plasticity. Hints to a thermodynamical approach to incremental plasticity.

Numerical integration of the incremental elastic-plastic constitutive equations. Krieg and Krieg's solution. Classical techniques. Generalized Midpoint Rule.

The incremental elastic-plasti problem. Weak form (PVP). Variational formulation of Capurso. Classical theorems by Prager, Hodge, Greenberg. Colonnetti's approach. Ceradini's theorem. The holonomic problem.

Limit analysis of 3D continua. Plastic collapse. Static and kinematic theorems. Applicative examples.

Shakedown analysis of 3D continua. The base domain of the external loads. Bleich and Melan theorem. Kinematic theorems of shakedown.

The Finite Element Method in plasticity. Dicretization fo the incremental equations. Displacement and plastic multiplier formulation; displacement formulation; plastic multiplier formulation. Finite step methods.

Limit and shakedown analysis of plane frames.
Elastic-plastic behavior of beams. Plastic hinge. Plastic collapse. Theoremf of Limit ANalysis od Shakedown analysis for plane frames. Calculation methods.