×

Sulla convessita dei potenziali termodinamici per materiali con memoria. (Italian) Zbl 0303.73004


MSC:

74A15 Thermodynamics in solid mechanics
74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Coleman, B. D., Thermodynamics of Materials with Memory, Arch. Rational Mech. Anal., 17, 1-46 (1964)
[2] Coleman, B. D.; Mizel, V. J., On the General Theory of Fading Memory, Arch. Rational Mech. Anal., 29, 18-31 (1968) · Zbl 0167.24704
[3] Day, W. D., The Thermodynamics of Simple Materials with Fading Memory (1972), Berlin Heidelberg New York: Springer-Verlag, Berlin Heidelberg New York · Zbl 0295.73007
[4] S. K. Godunov,The Problem of a Generalized Solution in the Theory of Quasilinear Equations and in Gas Dynamics, Russian Math. Serveys,17, pp. 145-156. · Zbl 0107.20003
[5] Coleman, B. D.; Noll, W., On the thermostatics of continuos media, Arch. Rational Mech. Anal., 4, 97-128 (1959) · Zbl 0231.73003 · doi:10.1007/BF00281381
[6] Friedrichs, K. O.; Lax, P. D., Systems of Conservation Equations with a Convex Extension, Proc. Nat. Acad. Sci., USA, 68, 1686-1688 (1971) · Zbl 0229.35061
[7] Vol’Pert, A. I.; Hudjaev, S. I., On the Cauchy Problem for Composite systems of non linear differential Equations, Math. USSR Sbornik, 16, 517-544 (1972) · Zbl 0251.35064 · doi:10.1070/SM1972v016n04ABEH001438
[8] Volterra, V., Sur la Théorie Mathématique des Phénomènes Héréditaires, Jours. de Math., VII, 249-298 (1928) · JFM 54.0934.06
[9] M. Fabrizio,Dualità e Reciprocità per le Equazioni non lineari dell’Elettromagnetismo Ereditario, Nota I, in corso di stampa, Atti Acc. Naz. dei Lincei, 1973.
[10] Riesz, F.; Sz. Nagy, B., Functional Analysis (1955), New York: F. Ungar, New York
[11] Coleman, B. D.; Dill, E. H., On the thermodynamics of electromagnetic fields in materials with memory, Arch Rational Mech. Anal., 41, 132-165 (1971) · doi:10.1007/BF00281371
[12] Truesdell, C.; Noll, W.; Flügge, S., Encyclopedia of Physics, Vol. III/3 (1965), Heidelberg, New York: Springer-Verlag, Heidelberg, New York
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.