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La valutazione teorica di spostamenti e rotazioni in fase anelastica negli elementi monodimensionali in cemento armato

Edoardo Cosenza, Carlo Greco, Gaetano Manfredi (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si presenta una metodologia di calcolo per valutare lo stato deformativo, in termini di curvature, rotazioni e spostamenti, negli elementi monodimensionali in cemento armato soggetti a carichi monotoni in regime anelastico. In particolare si tiene conto dello scorrimento acciaio calcestruzzo, e della collaborazione offerta dal calcestruzzo teso fra due successive lesioni. Si presenta il sistema di equazioni non-lineari che regge il problema, con le relative condizioni al contorno, e si discute in...

Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity

Elisa Davoli (2014)

ESAIM: Control, Optimisation and Calculus of Variations

The subject of this paper is the rigorous derivation of reduced models for a thin plate by means of Γ-convergence, in the framework of finite plasticity. Denoting by ε the thickness of the plate, we analyse the case where the scaling factor of the elasto-plastic energy per unit volume is of order ε2α−2, with α ≥ 3. According to the value of α, partially or fully linearized models are deduced, which correspond, in the absence of plastic deformation, to the Von Kármán plate theory and the linearized...

Linearized plasticity is the evolutionary Γ -limit of finite plasticity

Alexander Mielke, Ulisse Stefanelli (2013)

Journal of the European Mathematical Society

We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via Γ -convergence for rate-independent processes that energetic solutions of the quasi-static finite-strain elastoplasticity system converge to the unique strong solution of linearized elastoplasticity.

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