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

Liborio Zito, Silvio Salvatore Terravecchia

Risultato della ricerca: Other

Abstract

A reformulation of the static approach to evaluate directly the shakedown and limitmultipliers 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 astiffness matrix (self stress matrix) involving all the bem-elements in the discretized system. Thenumerical method proposed is a direct approach because it permits to evaluate the multiplierdirectly as lower bound through the static approach. The analysis has been performed as acostrained optimization problem, solved through mathematical programming methods. In thisapproach the optimization problem has been rephrased in the canonic form of a ConvexOptimization, in terms of discrete variables, and implemented by using Karnak.sbem code [6]coupled with the MatLab.
Lingua originaleEnglish
Numero di pagine4
Stato di pubblicazionePublished - 2012

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Mathematical programming
Boundary element method
Plastic deformation

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Analisi limite ed a shakedown mediante il metodo simmetrico degli elementi di contorno. / Zito, Liborio; Terravecchia, Silvio Salvatore.

2012.

Risultato della ricerca: Other

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T1 - Analisi limite ed a shakedown mediante il metodo simmetrico degli elementi di contorno

AU - Zito, Liborio

AU - Terravecchia, Silvio Salvatore

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N2 - A reformulation of the static approach to evaluate directly the shakedown and limitmultipliers 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 astiffness matrix (self stress matrix) involving all the bem-elements in the discretized system. Thenumerical method proposed is a direct approach because it permits to evaluate the multiplierdirectly as lower bound through the static approach. The analysis has been performed as acostrained optimization problem, solved through mathematical programming methods. In thisapproach the optimization problem has been rephrased in the canonic form of a ConvexOptimization, in terms of discrete variables, and implemented by using Karnak.sbem code [6]coupled with the MatLab.

AB - A reformulation of the static approach to evaluate directly the shakedown and limitmultipliers 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 astiffness matrix (self stress matrix) involving all the bem-elements in the discretized system. Thenumerical method proposed is a direct approach because it permits to evaluate the multiplierdirectly as lower bound through the static approach. The analysis has been performed as acostrained optimization problem, solved through mathematical programming methods. In thisapproach the optimization problem has been rephrased in the canonic form of a ConvexOptimization, in terms of discrete variables, and implemented by using Karnak.sbem code [6]coupled with the MatLab.

KW - Convex optimization

KW - SBEM

KW - Shakedown

UR - http://hdl.handle.net/10447/64415

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