On a new model for fatigue and phase transition in an
oscillating elastoplastic plate

J 2018

On a new model for fatigue and phase transition in an oscillating elastoplastic plate

KOPFOVÁ, Jana and Michela ELEUTERI

Basic information

Original name

On a new model for fatigue and phase transition in an oscillating elastoplastic plate

Authors

KOPFOVÁ, Jana (703 Slovakia, guarantor, belonging to the institution) and Michela ELEUTERI (380 Italy)

Edition

Journal of Differential Equations, San DIego, Academic Press Inc. Elsevier Science, 2018, 0022-0396

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10102 Applied mathematics

Country of publisher

United States of America

Confidentiality degree

is not subject to a state or trade secret

References:

Journal of Differential Equations

Impact factor

Impact factor: 1.938

RIV identification code

RIV/47813059:19610/18:A0000025

Organization unit

Mathematical Institute in Opava

DOI

http://dx.doi.org/10.1016/j.jde.2018.04.020

UT WoS

000432947300002

Keywords (in Czech)

termodynamický model; únava; existence řešení

Keywords in English

Nonisothermal Cyclic Fatigue; Hysteresis Models; Elastic-Materials; Contact Problems; Heat-Exchange; Small Strain

Links

GA15-12227S, research and development project.

Changed: 9/4/2019 17:37, Mgr. Aleš Ryšavý

Abstract

ORIG CZ

V originále

We consider a thermodynamic model for fatigue accumulation in an oscillating elastoplastic plate based on the two hypotheses that the fatigue accumulation rate is proportional to the plastic part of the dissipation rate and that the material can partially recover by the effect of melting. For the full model, consisting of the momentum and energy balances, an evolution equation for the fatigue rate and a differential inclusion for the phase dynamics, we prove existence of a solution in the given time interval.

In Czech

Uvažujeme termodynamický model pro akumulaci únavy v oscilujíci elastoplastické desce založený na dvou hypotézách, že míra akumulace únavy je přímo úměrná plastické části rychlosti disipace a že materiál se může částečně zotavit účinkem roztavení. Pro celý model, skládající se zákonů hybnosti a energie, evoluční rovnice pro míru únavy a diferenciální inkluze pro fázovou proměnnou, dokážeme existenci řešení v daném časovém intervalu.

Citovat

KOPFOVÁ, Jana and Michela ELEUTERI. On a new model for fatigue and phase transition in an oscillating elastoplastic plate. Journal of Differential Equations. San DIego: Academic Press Inc. Elsevier Science, 2018, vol. 265, No 5, p. 1839-1874. ISSN 0022-0396. Available from: https://dx.doi.org/10.1016/j.jde.2018.04.020.

@article{30228,
   author = {Kopfová, Jana and Eleuteri, Michela},
   article_location = {San DIego},
   article_number = {5},
   doi = {http://dx.doi.org/10.1016/j.jde.2018.04.020},
   keywords = {Nonisothermal Cyclic Fatigue; Hysteresis Models; Elastic-Materials; Contact Problems; Heat-Exchange; Small Strain},
   language = {eng},
   issn = {0022-0396},
   journal = {Journal of Differential Equations},
   title = {On a new model for fatigue and phase transition in an oscillating elastoplastic plate},
   url = {https://www.sciencedirect.com/science/article/pii/S0022039618302110?via%3Dihub},
   volume = {265},
   year = {2018}
}

TY  - JOUR
ID  - 30228
AU  - Kopfová, Jana - Eleuteri, Michela
PY  - 2018
TI  - On a new model for fatigue and phase transition in an oscillating elastoplastic plate
JF  - Journal of Differential Equations
VL  - 265
IS  - 5
SP  - 1839-1874
EP  - 1839-1874
PB  - Academic Press Inc. Elsevier Science
SN  - 00220396
KW  - Nonisothermal Cyclic Fatigue
KW  - Hysteresis Models
KW  - Elastic-Materials
KW  - Contact Problems
KW  - Heat-Exchange
KW  - Small Strain
UR  - https://www.sciencedirect.com/science/article/pii/S0022039618302110?via%3Dihub
L2  - https://www.sciencedirect.com/science/article/pii/S0022039618302110?via%3Dihub
N2  - We consider a thermodynamic model for fatigue accumulation in an oscillating elastoplastic plate based on the two hypotheses that the fatigue accumulation rate is proportional to the plastic part of the dissipation rate and that the material can partially recover by the effect of melting. For the full model, consisting of the momentum and energy balances, an evolution equation for the fatigue rate and a differential inclusion for the phase dynamics, we prove existence of a solution in the given time interval.
ER  -

KOPFOVÁ, Jana and Michela ELEUTERI. On a new model for fatigue and phase transition in an oscillating elastoplastic plate. \textit{Journal of Differential Equations}. San DIego: Academic Press Inc. Elsevier Science, 2018, vol.~265, No~5, p.~1839-1874. ISSN~0022-0396. Available from: https://dx.doi.org/10.1016/j.jde.2018.04.020.

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