Some analytical properties of the multidimensional continuous Mróz model of plasticity

Martin Brokate; Pavel Krejčí; Dmitrii Rachinskii

Some analytical properties of the multidimensional continuous Mróz model of plasticity

Martin Brokate, Pavel Krejčí, Dmitrii Rachinskii

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

11 Zitate (Scopus)

Abstract

We study the geometrical structure of memory induced by the continuous multidimensional Mróz model of plasticity. The results are used for proving the thermodynamic consistency of the model and composition and inversion formulas for input - memory state - output operators. We also show an example of nonuniqueness of solutions to a simple initial value problem involving the Mróz operator.

Originalsprache	Englisch
Seiten (von - bis)	199-215
Seitenumfang	17
Fachzeitschrift	Control and Cybernetics
Jahrgang	27
Ausgabenummer	2
Publikationsstatus	Veröffentlicht - 1998
Extern publiziert	Ja

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abstract = "We study the geometrical structure of memory induced by the continuous multidimensional Mr{\'o}z model of plasticity. The results are used for proving the thermodynamic consistency of the model and composition and inversion formulas for input - memory state - output operators. We also show an example of nonuniqueness of solutions to a simple initial value problem involving the Mr{\'o}z operator.",

keywords = "Hysteresis operator, Ill-posedness of the Cauchy problem, Kinematic hardening, Mr{\'o}z model, Plasticity, Thermodynamic consistency",

author = "Martin Brokate and Pavel Krej{\v c}{\'i} and Dmitrii Rachinskii",

year = "1998",

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AU - Brokate, Martin

AU - Krejčí, Pavel

AU - Rachinskii, Dmitrii

PY - 1998

Y1 - 1998

N2 - We study the geometrical structure of memory induced by the continuous multidimensional Mróz model of plasticity. The results are used for proving the thermodynamic consistency of the model and composition and inversion formulas for input - memory state - output operators. We also show an example of nonuniqueness of solutions to a simple initial value problem involving the Mróz operator.

AB - We study the geometrical structure of memory induced by the continuous multidimensional Mróz model of plasticity. The results are used for proving the thermodynamic consistency of the model and composition and inversion formulas for input - memory state - output operators. We also show an example of nonuniqueness of solutions to a simple initial value problem involving the Mróz operator.

KW - Hysteresis operator

KW - Ill-posedness of the Cauchy problem

KW - Kinematic hardening

KW - Mróz model

KW - Plasticity

KW - Thermodynamic consistency

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M3 - Article

AN - SCOPUS:0032328097

SN - 0324-8569

VL - 27

SP - 199

EP - 215

JO - Control and Cybernetics

JF - Control and Cybernetics

IS - 2

ER -

Some analytical properties of the multidimensional continuous Mróz model of plasticity

Abstract

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