Incremental elastoplastic analysis for active macro-zones

Teotista Panzeca, Liborio Zito, Eugenia Parlavecchio

Risultato della ricerca: Article

4 Citazioni (Scopus)

Abstract

In this paper a strategy to perform incremental elastoplastic analysis using the symmetric Galerkin boundaryelement method for multidomain type problems is shown. The discretization of the body is performedthrough substructures, distinguishing the bem-elements characterizing the so-called active macro-zones,where the plastic consistency condition may be violated, and the macro-elements having elastic behaviouronly. Incremental analysis uses the well-known concept of self-equilibrium stress field here shown in adiscrete form through the introduction of the influence matrix (self-stress matrix). The nonlinear analysisdoes not use updating of the elastic response inside each plastic loop, but at the end of the load incrementonly. This is possible by using the self-stress matrix, both, in the predictor phase, for computing the stresscaused by the stored plastic strains, and, in the corrector phase, for solving a nonlinear global system, whichprovides the elastoplastic solution of the active macro-zones. The use of active macro-zones gives rise toa nonlocal and path-independent approach, which is characterized by a notable reduction of the number ofplastic iterations. The proposed strategy shows several computational advantages as shown by the results ofsome numerical tests, reported at the end of this paper. These tests were performed using the Karnak.sGbemcode, in which the present procedure was introduced as an additional module.
Lingua originaleEnglish
pagine (da-a)1365-1385
Numero di pagine21
RivistaInternational Journal for Numerical Methods in Engineering
Volume91
Stato di pubblicazionePublished - 2012

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Elasto-plastic Analysis
Macros
Plastics
Macroelements
Consistency Conditions
Corrector
Substructure
Elasto-plastic
Stress Field
Galerkin Method
Updating
Predictors
Galerkin methods
Discretization
Iteration
Plastic deformation
Module
Numerical Results
Path
Computing

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Cita questo

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title = "Incremental elastoplastic analysis for active macro-zones",
abstract = "In this paper a strategy to perform incremental elastoplastic analysis using the symmetric Galerkin boundaryelement method for multidomain type problems is shown. The discretization of the body is performedthrough substructures, distinguishing the bem-elements characterizing the so-called active macro-zones,where the plastic consistency condition may be violated, and the macro-elements having elastic behaviouronly. Incremental analysis uses the well-known concept of self-equilibrium stress field here shown in adiscrete form through the introduction of the influence matrix (self-stress matrix). The nonlinear analysisdoes not use updating of the elastic response inside each plastic loop, but at the end of the load incrementonly. This is possible by using the self-stress matrix, both, in the predictor phase, for computing the stresscaused by the stored plastic strains, and, in the corrector phase, for solving a nonlinear global system, whichprovides the elastoplastic solution of the active macro-zones. The use of active macro-zones gives rise toa nonlocal and path-independent approach, which is characterized by a notable reduction of the number ofplastic iterations. The proposed strategy shows several computational advantages as shown by the results ofsome numerical tests, reported at the end of this paper. These tests were performed using the Karnak.sGbemcode, in which the present procedure was introduced as an additional module.",
keywords = "active macro-zones, elastoplastic analysis, multidomain SGBEM, self-equilibrium stress equation",
author = "Teotista Panzeca and Liborio Zito and Eugenia Parlavecchio",
year = "2012",
language = "English",
volume = "91",
pages = "1365--1385",
journal = "International Journal for Numerical Methods in Engineering",
issn = "0029-5981",
publisher = "John Wiley and Sons Ltd",

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TY - JOUR

T1 - Incremental elastoplastic analysis for active macro-zones

AU - Panzeca, Teotista

AU - Zito, Liborio

AU - Parlavecchio, Eugenia

PY - 2012

Y1 - 2012

N2 - In this paper a strategy to perform incremental elastoplastic analysis using the symmetric Galerkin boundaryelement method for multidomain type problems is shown. The discretization of the body is performedthrough substructures, distinguishing the bem-elements characterizing the so-called active macro-zones,where the plastic consistency condition may be violated, and the macro-elements having elastic behaviouronly. Incremental analysis uses the well-known concept of self-equilibrium stress field here shown in adiscrete form through the introduction of the influence matrix (self-stress matrix). The nonlinear analysisdoes not use updating of the elastic response inside each plastic loop, but at the end of the load incrementonly. This is possible by using the self-stress matrix, both, in the predictor phase, for computing the stresscaused by the stored plastic strains, and, in the corrector phase, for solving a nonlinear global system, whichprovides the elastoplastic solution of the active macro-zones. The use of active macro-zones gives rise toa nonlocal and path-independent approach, which is characterized by a notable reduction of the number ofplastic iterations. The proposed strategy shows several computational advantages as shown by the results ofsome numerical tests, reported at the end of this paper. These tests were performed using the Karnak.sGbemcode, in which the present procedure was introduced as an additional module.

AB - In this paper a strategy to perform incremental elastoplastic analysis using the symmetric Galerkin boundaryelement method for multidomain type problems is shown. The discretization of the body is performedthrough substructures, distinguishing the bem-elements characterizing the so-called active macro-zones,where the plastic consistency condition may be violated, and the macro-elements having elastic behaviouronly. Incremental analysis uses the well-known concept of self-equilibrium stress field here shown in adiscrete form through the introduction of the influence matrix (self-stress matrix). The nonlinear analysisdoes not use updating of the elastic response inside each plastic loop, but at the end of the load incrementonly. This is possible by using the self-stress matrix, both, in the predictor phase, for computing the stresscaused by the stored plastic strains, and, in the corrector phase, for solving a nonlinear global system, whichprovides the elastoplastic solution of the active macro-zones. The use of active macro-zones gives rise toa nonlocal and path-independent approach, which is characterized by a notable reduction of the number ofplastic iterations. The proposed strategy shows several computational advantages as shown by the results ofsome numerical tests, reported at the end of this paper. These tests were performed using the Karnak.sGbemcode, in which the present procedure was introduced as an additional module.

KW - active macro-zones

KW - elastoplastic analysis

KW - multidomain SGBEM

KW - self-equilibrium stress equation

UR - http://hdl.handle.net/10447/64411

M3 - Article

VL - 91

SP - 1365

EP - 1385

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 0029-5981

ER -