# Extremum theorem and convergence criterion for an iterative solution to the finite-step problem in elastoplasticity with mixed nonlinear hardening

- Volume: 83, Issue: 1, page 177-186
- ISSN: 1120-6330

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topComi, Claudia, and Maier, Giulio. "Extremum theorem and convergence criterion for an iterative solution to the finite-step problem in elastoplasticity with mixed nonlinear hardening." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 83.1 (1989): 177-186. <http://eudml.org/doc/287496>.

@article{Comi1989,

abstract = {For a class of elastic-plastic constitutive laws with nonlinear kinematic and isotropic hardening, the problem of determining the response to a finite load step is formulated according to an implicit backward difference scheme (stepwise holonomic formulation), with reference to discrete structural models. This problem is shown to be amenable to a nonlinear mathematical programming problem and a criterion is derived which guarantees monotonie convergence of an iterative algorithm for the solution of the finite-step analysis problem. This communication anticipates in an abbreviated form results to be presented elsewhere in an extended form: here proofs and various comments are omitted.},

author = {Comi, Claudia, Maier, Giulio},

journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},

keywords = {Elastoplasticity; Finite-step; Extremum theorem; Convergence; elastic-plastic constitutive laws; nonlinear kinematic and isotropic hardening; finite load step; implicit backward difference scheme; stepwise holonomic formulation; nonlinear mathematical programming; monotonic convergence; iterative algorithm; finite-step analysis problem},

language = {eng},

month = {12},

number = {1},

pages = {177-186},

publisher = {Accademia Nazionale dei Lincei},

title = {Extremum theorem and convergence criterion for an iterative solution to the finite-step problem in elastoplasticity with mixed nonlinear hardening},

url = {http://eudml.org/doc/287496},

volume = {83},

year = {1989},

}

TY - JOUR

AU - Comi, Claudia

AU - Maier, Giulio

TI - Extremum theorem and convergence criterion for an iterative solution to the finite-step problem in elastoplasticity with mixed nonlinear hardening

JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

DA - 1989/12//

PB - Accademia Nazionale dei Lincei

VL - 83

IS - 1

SP - 177

EP - 186

AB - For a class of elastic-plastic constitutive laws with nonlinear kinematic and isotropic hardening, the problem of determining the response to a finite load step is formulated according to an implicit backward difference scheme (stepwise holonomic formulation), with reference to discrete structural models. This problem is shown to be amenable to a nonlinear mathematical programming problem and a criterion is derived which guarantees monotonie convergence of an iterative algorithm for the solution of the finite-step analysis problem. This communication anticipates in an abbreviated form results to be presented elsewhere in an extended form: here proofs and various comments are omitted.

LA - eng

KW - Elastoplasticity; Finite-step; Extremum theorem; Convergence; elastic-plastic constitutive laws; nonlinear kinematic and isotropic hardening; finite load step; implicit backward difference scheme; stepwise holonomic formulation; nonlinear mathematical programming; monotonic convergence; iterative algorithm; finite-step analysis problem

UR - http://eudml.org/doc/287496

ER -

## References

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