Viscoelastic and Electromagnetic Materials with Nonlinear Memory

Claudio Giorgi; John Murrough Golden

doi:10.3390/ma15196804

Viscoelastic and Electromagnetic Materials with Nonlinear Memory

Claudio Giorgi
, John Murrough Golden

Technological University Dublin

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

Abstract

A method is presented for generating free energies relating to nonlinear constitutive equations with memory from known free energies associated with hereditary linear theories. Some applications to viscoelastic solids and hereditary electrical conductors are presented. These new free energies are then used to obtain estimates for nonlinear integro-differential evolution problems describing the behavior of nonlinear plasmas with memory.

Original language	English
Article number	6804
Journal	Materials
Volume	15
Issue number	19
DOIs	https://doi.org/10.3390/ma15196804
Publication status	Published - Oct 2022

Keywords

dissipation
electric conductors with nonlinear memory
energy estimates
free energy
materials with memory
nonlinear viscoelasticity

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10.3390/ma15196804Licence: CC BY

https://arrow.tudublin.ie/scschmatart/340Licence: CC BY

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title = "Viscoelastic and Electromagnetic Materials with Nonlinear Memory",

abstract = "A method is presented for generating free energies relating to nonlinear constitutive equations with memory from known free energies associated with hereditary linear theories. Some applications to viscoelastic solids and hereditary electrical conductors are presented. These new free energies are then used to obtain estimates for nonlinear integro-differential evolution problems describing the behavior of nonlinear plasmas with memory.",

keywords = "dissipation, electric conductors with nonlinear memory, energy estimates, free energy, materials with memory, nonlinear viscoelasticity",

author = "Claudio Giorgi and Golden, \{John Murrough\}",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors.",

year = "2022",

month = oct,

doi = "10.3390/ma15196804",

language = "English",

volume = "15",

journal = "Materials",

issn = "1996-1944",

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T1 - Viscoelastic and Electromagnetic Materials with Nonlinear Memory

AU - Giorgi, Claudio

AU - Golden, John Murrough

PY - 2022/10

Y1 - 2022/10

N2 - A method is presented for generating free energies relating to nonlinear constitutive equations with memory from known free energies associated with hereditary linear theories. Some applications to viscoelastic solids and hereditary electrical conductors are presented. These new free energies are then used to obtain estimates for nonlinear integro-differential evolution problems describing the behavior of nonlinear plasmas with memory.

AB - A method is presented for generating free energies relating to nonlinear constitutive equations with memory from known free energies associated with hereditary linear theories. Some applications to viscoelastic solids and hereditary electrical conductors are presented. These new free energies are then used to obtain estimates for nonlinear integro-differential evolution problems describing the behavior of nonlinear plasmas with memory.

KW - dissipation

KW - electric conductors with nonlinear memory

KW - energy estimates

KW - free energy

KW - materials with memory

KW - nonlinear viscoelasticity

UR - https://www.scopus.com/pages/publications/85139860906

U2 - 10.3390/ma15196804

DO - 10.3390/ma15196804

M3 - Article

SN - 1996-1944

VL - 15

JO - Materials

JF - Materials

IS - 19

M1 - 6804

ER -

Viscoelastic and Electromagnetic Materials with Nonlinear Memory

Abstract

Keywords

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