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

Christian-Albrechts-University of Kiel
Academy of Sciences of the Czech Republic
Weierstrass Institute for Applied Analysis and Stochastics
Institute for Information Transmission Problems of the Russian Academy of Sciences

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	199-215
Number of pages	17
Journal	Control and Cybernetics
Volume	27
Issue number	2
State	Published - 1998
Externally published	Yes

Keywords

Hysteresis operator
Ill-posedness of the Cauchy problem
Kinematic hardening
Mróz model
Plasticity
Thermodynamic consistency

Cite this

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title = "Some analytical properties of the multidimensional continuous Mr{\'o}z model of plasticity",

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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T1 - Some analytical properties of the multidimensional continuous Mróz model of plasticity

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

UR - https://www.scopus.com/pages/publications/0032328097

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

Keywords

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