QUASI-STATIC EVOLUTIONS IN LINEAR PERFECT PLASTICITY AS A VARIATIONAL LIMIT OF FINITE PLASTICITY: A ONE-DIMENSIONAL CASE

Alessandro Giacomini; Alessandro Musesti

doi:10.1142/S0218202513500097

QUASI-STATIC EVOLUTIONS IN LINEAR PERFECT PLASTICITY AS A VARIATIONAL LIMIT OF FINITE PLASTICITY: A ONE-DIMENSIONAL CASE

Alessandro Giacomini
, Alessandro Musesti

Risultato della ricerca: Contributo in rivista › Articolo › peer review

5 Citazioni (Scopus)

Abstract

[Ita:]In the framework of the energetic approach to rate-independent evolutions, we show that one-dimensional linear perfect plasticity can be obtained by linearization as a variational limit of a finite plasticity model with hardening proposed by A. Mielke (SIAM J. Math. Anal., 2004).

Lingua originale	Inglese
pagine (da-a)	1275-1308
Numero di pagine	34
Rivista	Mathematical Models and Methods in Applied Sciences
Volume	23
DOI	https://doi.org/10.1142/S0218202513500097
Stato di pubblicazione	Pubblicato - 2013

Keywords

Finite plasticity
functions of bounded variation
linear perfect plasticity
quasi-static evolutions

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10.1142/S0218202513500097

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title = "QUASI-STATIC EVOLUTIONS IN LINEAR PERFECT PLASTICITY AS A VARIATIONAL LIMIT OF FINITE PLASTICITY: A ONE-DIMENSIONAL CASE",

abstract = "[Autom. eng. transl.] In the framework of the energetic approach to rate-independent evolution, we show that one-dimensional linear perfect plasticity can be obtained by linearization as a variation of a finite plasticity model with hardening proposed by A. Mielke (SIAM J. Math. Anal ., 2004).",

keywords = "Finite plasticity, functions of bounded variation, linear perfect plasticity, quasi-static evolutions, Finite plasticity, functions of bounded variation, linear perfect plasticity, quasi-static evolutions",

author = "Alessandro Giacomini and Alessandro Musesti",

year = "2013",

doi = "10.1142/S0218202513500097",

language = "English",

volume = "23",

pages = "1275--1308",

journal = "Mathematical Models and Methods in Applied Sciences",

issn = "0218-2025",

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TY - JOUR

T1 - QUASI-STATIC EVOLUTIONS IN LINEAR PERFECT PLASTICITY AS A VARIATIONAL LIMIT OF FINITE PLASTICITY: A ONE-DIMENSIONAL CASE

AU - Giacomini, Alessandro

AU - Musesti, Alessandro

PY - 2013

Y1 - 2013

N2 - [Autom. eng. transl.] In the framework of the energetic approach to rate-independent evolution, we show that one-dimensional linear perfect plasticity can be obtained by linearization as a variation of a finite plasticity model with hardening proposed by A. Mielke (SIAM J. Math. Anal ., 2004).

AB - [Autom. eng. transl.] In the framework of the energetic approach to rate-independent evolution, we show that one-dimensional linear perfect plasticity can be obtained by linearization as a variation of a finite plasticity model with hardening proposed by A. Mielke (SIAM J. Math. Anal ., 2004).

KW - Finite plasticity

KW - functions of bounded variation

KW - linear perfect plasticity

KW - quasi-static evolutions

KW - Finite plasticity

KW - functions of bounded variation

KW - linear perfect plasticity

KW - quasi-static evolutions

UR - http://hdl.handle.net/10807/43269

U2 - 10.1142/S0218202513500097

DO - 10.1142/S0218202513500097

M3 - Article

SN - 0218-2025

VL - 23

SP - 1275

EP - 1308

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

ER -

QUASI-STATIC EVOLUTIONS IN LINEAR PERFECT PLASTICITY AS A VARIATIONAL LIMIT OF FINITE PLASTICITY: A ONE-DIMENSIONAL CASE

Abstract

Keywords

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