A survey of the hysteretic Duhem model

The Duhem model is a simulacrum of a com- plex and hazy reality: hysteresis. Introduced by Pierre Duhem to provide a mathematical representation of thermodynamical irreversibility, it is used to describe hysteresis in other areas of science and engineering. Our aim is to survey the relationship betw...

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Detalles Bibliográficos
Autor: Ikhouane, Fayçal|||0000-0003-0616-3057
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/124961
Acceso en línea:https://hdl.handle.net/2117/124961
https://dx.doi.org/10.1007/s11831-017-9218-3
Access Level:acceso abierto
Palabra clave:Differential equations
Hysteresis
Duhem model Differential equations Hysteresis
Histèresi -- Models matemàtics
Equacions diferencials
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:The Duhem model is a simulacrum of a com- plex and hazy reality: hysteresis. Introduced by Pierre Duhem to provide a mathematical representation of thermodynamical irreversibility, it is used to describe hysteresis in other areas of science and engineering. Our aim is to survey the relationship between the Duhem model as a mathematical representation, and hysteresis as the object of that representation.