Viscoelastic and Electromagnetic Materials with Nonlinear Memory

Viscoelastic and Electromagnetic Materials with Nonlinear Memory

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 th...

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Veröffentlicht in:Materials 2022-09, Vol.15 (19), p.6804
Hauptverfasser: Giorgi, Claudio, Golden, John Murrough
Format: Artikel
Sprache:eng
Schlagworte:
Conductors
Constitutive equations
Constitutive relationships
Deformation
Electric conductors
Energy
Evolutionary computation
Present value
Viscoelasticity
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Zusammenfassung: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.
ISSN:1996-1944
1996-1944
DOI:10.3390/ma15196804