In this Chapter the kinematic (second, Koiter’s) shakedown theorem is applied to the representative volume of periodic heterogeneous media with Huber-Mises local plastic behavior. The adopted formulation of shakedown analysis is based on periodicity boundary conditions, conventional finite element modeling and penalization enforcement of plastic incompressibility. A cost-effective iterative solution procedure is discussed and computationally tested. Numerical tests and engineering applications are presented with reference to perforated plates and metal-matrix unidirectional fiber-reinforced composites.

A kinematic method for shakedown and limit analysis of periodic heterogeneous media

MAIER, GIULIO;CARVELLI, VALTER
2002

Abstract

In this Chapter the kinematic (second, Koiter’s) shakedown theorem is applied to the representative volume of periodic heterogeneous media with Huber-Mises local plastic behavior. The adopted formulation of shakedown analysis is based on periodicity boundary conditions, conventional finite element modeling and penalization enforcement of plastic incompressibility. A cost-effective iterative solution procedure is discussed and computationally tested. Numerical tests and engineering applications are presented with reference to perforated plates and metal-matrix unidirectional fiber-reinforced composites.
Inelastic behaviour of structures under variable repeated loads: direct analysis methods
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/670769
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