Remarks on materials with memory

Victor Mizel

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1992)

  • Volume: 3, Issue: 1, page 43-44
  • ISSN: 1120-6330

Abstract

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The mistaken notion that consistency with fading memory should require uniqueness is refuted by citation of the sources. Indeed, insistence on uniqueness would exclude many examples from non-linear elasticity and would exclude materials capable of exhibiting hysteresis.

How to cite

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Mizel, Victor. "Remarks on materials with memory." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 3.1 (1992): 43-44. <http://eudml.org/doc/244093>.

@article{Mizel1992,
abstract = {The mistaken notion that consistency with fading memory should require uniqueness is refuted by citation of the sources. Indeed, insistence on uniqueness would exclude many examples from non-linear elasticity and would exclude materials capable of exhibiting hysteresis.},
author = {Mizel, Victor},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Materials with memory; Uniqueness; Viscoelastic; Hysteresis; fading memory; uniqueness; hysteresis},
language = {eng},
month = {3},
number = {1},
pages = {43-44},
publisher = {Accademia Nazionale dei Lincei},
title = {Remarks on materials with memory},
url = {http://eudml.org/doc/244093},
volume = {3},
year = {1992},
}

TY - JOUR
AU - Mizel, Victor
TI - Remarks on materials with memory
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1992/3//
PB - Accademia Nazionale dei Lincei
VL - 3
IS - 1
SP - 43
EP - 44
AB - The mistaken notion that consistency with fading memory should require uniqueness is refuted by citation of the sources. Indeed, insistence on uniqueness would exclude many examples from non-linear elasticity and would exclude materials capable of exhibiting hysteresis.
LA - eng
KW - Materials with memory; Uniqueness; Viscoelastic; Hysteresis; fading memory; uniqueness; hysteresis
UR - http://eudml.org/doc/244093
ER -

References

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  1. COLEMAN, B. D. - MIZEL, V. J., Norms and semigroups in the theory of fading memory. Arch. Rational Mech. Anal., vol. 23, 1966, 87-123. Zbl0146.46104MR210343
  2. COLEMAN, B. D. - NOLL, W., Foundations of linear viscoelasticity. Reviews of Mod. Physics, vol. 33, 1961, 239-249. Zbl0103.40804MR158605
  3. FICHERA, G., I difficili rapporti fra l'Analisi funzionale e la Fisica matematica. Rend. Mat. Acc. Lincei, s. 9, 1, 1990, 161-170. Zbl0709.45004MR1081399
  4. LEITMAN, M. J. - MIZEL, V. J., On fading memory spaces and hereditary integral equations. Arch. Rational Mech. Anal., vol. 55, 1974, 18-51. Zbl0297.45001MR367734
  5. MacCAMY, R. C., Exponential stability for a class of functional differential equations. Arch. Rational Mech. Anal., vol. 40, 1971, 120-138. Zbl0215.15601MR268467
  6. MIZEL, V. J. - TRUTZER, V., Stochastic hereditary equations: Existence and asymptotic stability. J. Integral Eqns., vol. 7, 1984, 1-72. Zbl0539.60052MR747535
  7. NOLL, W., A new mathematical theory of simple materials. Arch. Rational Mech. Anal., vol. 48, 1972, 1-50. Zbl0271.73006MR445985

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