Fading memory spaces and approximate cycles in linear viscoelasticity
Rendiconti del Seminario Matematico della Università di Padova, Tome 82 (1989) , pp. 239-255.
@article{RSMUP_1989__82__239_0,
     author = {Fabrizio, Mauro and Morro, Angelo},
     title = {Fading memory spaces and approximate cycles in linear viscoelasticity},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {239--255},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {82},
     year = {1989},
     zbl = {0699.73026},
     mrnumber = {1049596},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1989__82__239_0/}
}
Fabrizio, Mauro; Morro, Angelo. Fading memory spaces and approximate cycles in linear viscoelasticity. Rendiconti del Seminario Matematico della Università di Padova, Tome 82 (1989) , pp. 239-255. http://www.numdam.org/item/RSMUP_1989__82__239_0/

[1] M. Fabrizio - A. Morro, Thermodynamic restrictions on relaxation functions in linear viscoelasticity, Mech. Res. Comm., 12 (1985), pp. 101-105.

[2] A. Morro - M. FABRIZIO, On uniqueness in linear viscoelasticity: a family of counterexamples, Quart. Appl. Math., 45 (1987), pp. 321-325. | MR 895102 | Zbl 0621.73039

[3] L. Boltzmann, Zur Theorie der elastischen Nachwirkung, Sitzber. Kaiserl. Akad. Wiss. Wien, Math.-Naturw. Kl., 70 (1874), pp. 275-306. | JFM 06.0648.02

[4] V. Volterra, Sur les equations intégro-difféerentielles et leurs applications, Acta Mathem., 35 (1912), pp. 295-356. | JFM 43.0431.03 | MR 1555080

[5] D. Graffi, Sopra alcuni fenomeni ereditari dell'elettrologia, Rend. Istit. Lombardo Scienze Lettere, Serie II, 68-69 (1936), pp. 124-139. | Zbl 0015.13802

[6] D.R. Bland, The Theory of Linear Viscoelasticity, Pergamon, New York (1960). | MR 110314 | Zbl 0108.38501

[7] M.E. Gurtin - E. STERNBERG, On the linear theory of viscoelasticity, Arch. Rational Mech. Anal., 11 (1962), pp. 291-356. | MR 147047 | Zbl 0107.41007

[8] M.J. Leitman - G.M.C. Fisher, The Linear Theory of Viscoelasticity, in Encyclopedia of Physics, VIa/3, Springer, Berlin (1973).

[9] B.D. Coleman - W. Noll, Foundations of linear viscoelasticity, Rev. Mod. Phys., 33 (1961), pp. 239-249. | MR 158605 | Zbl 0103.40804

[10] B.D. Coleman, Thermodynamics of materials with memory, Arch. Rational Mech. Anal., 17 (1964), pp. 1-46. | MR 171419

[11] B.D. Coleman, On thermodynamics, strain impulses and viscoelasticity, Arch. Rational Mech. Anal., 17 (1964), pp. 230-254. | MR 171420 | Zbl 0125.13603

[12] W.A. Day, Restrictions on relaxation functions in linear viscoelasticity, Quart. J. Mech. Appl. Math., 24 (1971), pp. 487-497. | MR 317631 | Zbl 0241.73035

[13] D. Graffi, Sui problemi della ereditarietà lineare, Nuovo Cimento, 5 (1928), pp. 53-71. | JFM 54.0882.02

[14] B.D. Coleman - V.J. Mizel, Norms and semi-groups in the theory of fading memory, Arch. Rational Mech. Anal., 23 (1966), pp. 87-123. | MR 210343 | Zbl 0146.46104

[15] B.D. Coleman - D.R. Owen, A mathematical foundation for thermodynamics, Arch. Rational Mech. Anal., 54 (1974), pp. 1-104. | MR 395502 | Zbl 0306.73004

[16] M. Fabrizio - A. Morro, Viscoelastic relaxation functions compatible with thermodynamics, J. Elasticity, 19 (1988), pp. 63-75. | MR 928727 | Zbl 0661.73019

[17] C. Truesdell, Rational Thermodynamics, Springer, New York (1984); Appendix G1 by B. D. Coleman and D. R. Owen. | MR 766401 | Zbl 0559.00016