A reformulation of the static approach to evaluate directly the shakedown and limit multipliers by using the Symmetric Boundary Element Method for multidomain type problems [1,2] is shown. The present formulation utilizes the self-equilibrium stress equation [3-5] connecting the stresses at the Gauss points of each substructure (bem-e) to plastic strains through a stiffness matrix (self stress matrix) involving all the bem-elements in the discretized system. The numerical method proposed is a direct approach because it permits to evaluate the multiplier directly as lower bound through the static approach. The analysis has been performed as a costrained optimization problem, solved through mathematical programming methods. In this approach the optimization problem has been rephrased in the canonic form of a Convex Optimization, in terms of discrete variables, and implemented by using Karnak.sbem code [6] coupled with the MatLab.

Cucco, F., Terravecchia, S., Zito, L. (2012). Analisi limite ed a shakedown mediante il metodo simmetrico degli elementi di contorno. In XIX° Convegno Italiano di Meccanica Computazionale (GIMC 2012).

### Analisi limite ed a shakedown mediante il metodo simmetrico degli elementi di contorno

#### Abstract

A reformulation of the static approach to evaluate directly the shakedown and limit multipliers by using the Symmetric Boundary Element Method for multidomain type problems [1,2] is shown. The present formulation utilizes the self-equilibrium stress equation [3-5] connecting the stresses at the Gauss points of each substructure (bem-e) to plastic strains through a stiffness matrix (self stress matrix) involving all the bem-elements in the discretized system. The numerical method proposed is a direct approach because it permits to evaluate the multiplier directly as lower bound through the static approach. The analysis has been performed as a costrained optimization problem, solved through mathematical programming methods. In this approach the optimization problem has been rephrased in the canonic form of a Convex Optimization, in terms of discrete variables, and implemented by using Karnak.sbem code [6] coupled with the MatLab.
##### Scheda breve Scheda completa Scheda completa (DC)
25-giu-2012
XIX° Convegno Italiano di Meccanica Computazionale (GIMC 2012)
Rossano (Cosenza)
25-27 Giugno 2012
2012
4
Cucco, F., Terravecchia, S., Zito, L. (2012). Analisi limite ed a shakedown mediante il metodo simmetrico degli elementi di contorno. In XIX° Convegno Italiano di Meccanica Computazionale (GIMC 2012).
Proceedings (atti dei congressi)
Cucco, F; Terravecchia, S; Zito, L
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/10447/64415`