The paper deals with convergence properties of an iterative procedure, which is suitable for the structural analysis of elastic-plastic space structures in the presence of large displacements (a case in which the equilibrium equations must be written with reference to the eformed configuration). The proposed algorithm is based on the backward difference concept and leads to a numerical solution, which coincides with the minimum point of a convenient objective function. As typically happens with elastic-plastic problems, the load history is subdivided into a finite number of time-steps, during which the material response is assumed to be nonlinear elastic. Then, it is shown that the iterative rocedure, applied at each time-step, tends to reduce the value of the objective function, iteration by iteration. In consequence, it converges toward the correct solution of the given problem. Finally, some numerical tests (including a sample problem concerned with a tensile structure) are considered, in order to check the performance of the approach presented here.

Convergence Properties of an Algorithm for the Large-Displacement Analysis of Elastic-Plastic Space Structures

NAPPI, ALFONSO;ZACCARIA, DANIELE
2016

Abstract

The paper deals with convergence properties of an iterative procedure, which is suitable for the structural analysis of elastic-plastic space structures in the presence of large displacements (a case in which the equilibrium equations must be written with reference to the eformed configuration). The proposed algorithm is based on the backward difference concept and leads to a numerical solution, which coincides with the minimum point of a convenient objective function. As typically happens with elastic-plastic problems, the load history is subdivided into a finite number of time-steps, during which the material response is assumed to be nonlinear elastic. Then, it is shown that the iterative rocedure, applied at each time-step, tends to reduce the value of the objective function, iteration by iteration. In consequence, it converges toward the correct solution of the given problem. Finally, some numerical tests (including a sample problem concerned with a tensile structure) are considered, in order to check the performance of the approach presented here.
File in questo prodotto:
File Dimensione Formato  
IJRDO2016.pdf

non disponibili

Descrizione: Articolo pubblicato
Tipologia: Documento in Versione Editoriale
Licenza: Digital Rights Management non definito
Dimensione 1.02 MB
Formato Adobe PDF
1.02 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2889252
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact