On some viscoelastic models

Pasquale Renno

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1983)

  • Volume: 75, Issue: 6, page 339-348
  • ISSN: 1120-6330

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Renno, Pasquale. "On some viscoelastic models." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 75.6 (1983): 339-348. <http://eudml.org/doc/287247>.

@article{Renno1983,
author = {Renno, Pasquale},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {one-dimensional, linear, homogeneous, isotropic, viscoelastic creep models; response kernel; second-time derivative; displacement; integral formulation; asymptotic method; estimates for the solution; integrodifferential equation; linear partial differential equation; hierarchy of waves; characteristic speeds},
language = {eng},
month = {12},
number = {6},
pages = {339-348},
publisher = {Accademia Nazionale dei Lincei},
title = {On some viscoelastic models},
url = {http://eudml.org/doc/287247},
volume = {75},
year = {1983},
}

TY - JOUR
AU - Renno, Pasquale
TI - On some viscoelastic models
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/12//
PB - Accademia Nazionale dei Lincei
VL - 75
IS - 6
SP - 339
EP - 348
LA - eng
KW - one-dimensional, linear, homogeneous, isotropic, viscoelastic creep models; response kernel; second-time derivative; displacement; integral formulation; asymptotic method; estimates for the solution; integrodifferential equation; linear partial differential equation; hierarchy of waves; characteristic speeds
UR - http://eudml.org/doc/287247
ER -

References

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  1. Schwartz, L. (1959) - Étude des sommes d'exponentielles, «Act. Scient. et Industr.», 959, HermannParis. Zbl0092.06302MR106383
  2. Ferry, J.D. (1961) - Viscoelastic properties of polymers, 2nd Ed. John Wiley, New York. 
  3. Dafermos, C.M. (1970) - Asymptotic stability in Viscoelasticity, «Arch. Rat. Mech. Anal.», 37, 297-308. Zbl0214.24503MR281400
  4. Mitrinovic, D.S. (1970) - Analytic inequalities, Springer Verlag, Berlin Heidelberg-New York. Zbl0199.38101MR274686
  5. Christensen, R.M. (1971) - Theory of Viscoelasticity, Academic Press, New York and London. 
  6. Leitman, M.J. and Fisher, G.M.C. (1973) - The linear theory of Viscoelasticity, «Handbuck der Physik», Band VI a/3, 1-123. 
  7. Graffi, D. (1980) - Mathematical models and waves in linear viscoelasticity, Euromech Colloquium 127 on Wave propagation in viscoelastic media, «Pitman Adv. Publ. Comp.»«Research Notes in Mathematics», 52, 1—27. MR613715
  8. Graffi, D. (1983) - On the fading memory, «Applicable Analysis», 15, 295-311. Zbl0497.73041MR710196DOI10.1080/00036818308839452
  9. Erderlyi, A., Magnus, N., Oberhettinger, F. and Tricomi, F.G. (1954) - Tables of integral transforms, Vol. I, McGraw-Hill Book Comp. MR61695
  10. Renno, P. (1983) - On a wave theory for the operator ϵ ⁢ ∂ t ⁡ ( ∂ 2 - c 2 ⁢ Δ ) + ∂ 2 - c 0 2 ⁢ Δ , to be published, on «Annali di Matematica Pura ed Applicata». 
  11. Renno, P. (1983) - On the Cauchy problem in linear viscoelasticity, «Rend. Acc. Naz. Lincei», Serie VIII, Vol. LXXV, fasc. 5 - Novembre 1983. Zbl0574.73048MR782157
  12. Berg, L. (1967) - Introduction to the operational calculus, North-Holland, Publ. Comp.Amsterdam. Zbl0145.37701MR220009
  13. Renno, P. (1983) - Wave hierarchies in linear dissipative media. General Lecture at Second Congress on «Onde e stabilità nei mezzi continui». Rende 6-11 Giugno 1983. 

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