Abstract
A special weak-form shakedown is studied for elastic–plastic internal-variable material models with nonlinear hardening, damageable elastic moduli and damageable yield surface, in the hypothesis of ductile damage, (i.e. damage induced by plastic strains), but the precise evolutive law of damage being left unspecified. Sufficient weak-form shakedown theorems are presented, one static and another kinematic, each assessing whether eventually plastic deformations cease together with their consequences, including ductile damage. A two-sided delimitation is provided, within which the weak-form shakedown safety factor can be located. An upper bound to the post-transient damage for a particular isotropic damage model is also proposed. A simple numerical application is presented.
Sommario. Si studia una forma speciale debole di adattamento strutturale per materiali elasto-plastici con variabili interne e con incrudimento non lineare, nonché moduli elastici e superficie di plasticità soggetti a danno duttile (cioè indotto dalle deformazioni plastiche) con una non precisata legge evolutiva. Si presentano due teoremi sufficienti per l'adattamento in forma debole, ciascuno essendo capace di predire se la deformazione plastica infine cessa unitamente alle sue conseguenze, compreso il danno duttile. Si definisce una delimitazione bilaterale entro la quale ricade il fattore di sicurezza associato a questa forma debole di adattamento. Si propone altresì una delimitazione superiore per il danno accumulato nella fase transitoria nel caso di un tipo particolare di danno isotropo. Si presenta una semplice applicazione numerica.
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Polizzotto, C., Borino, G. & Fuschi, P. Weak Forms of Shakedown for Elastic–Plastic Structures Exhibiting Ductile Damage. Meccanica 36, 49–66 (2001). https://doi.org/10.1023/A:1011969520565
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DOI: https://doi.org/10.1023/A:1011969520565