Geodesic
Stability properties of a class of viscoelastic beams of the hereditary type
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 1, pp. 79-87 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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The paper deals with the problem of equilibrium stability of prismatic, homogeneous, intrinsically isotropic, viscoelastic beams subjected to the action of constant compressive axial force in the light of Lyapounov's stability theory. For a class of functional expressions of creeping kernels characteristic of no-aging viscoelastic materials of the hereditary type, solution of the governing integro-differential equations is given. Referring to polymeric materials of the PMMA type, numerical results are obtained showing the influence of the loading duration on system stability. 
@article{RLIN_1994_9_5_1_a9,
     author = {Russo Spena, Francesco},
     title = {Stability properties of a class of viscoelastic beams of the hereditary type},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {79--87},
     year = {1994},
     volume = {Ser. 9, 5},
     number = {1},
     zbl = {0798.73028},
     mrnumber = {MR1273896},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1994_9_5_1_a9/}
}
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Russo Spena, Francesco. Stability properties of a class of viscoelastic beams of the hereditary type. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 1, pp. 79-87. http://geodesic.mathdoc.fr/item/RLIN_1994_9_5_1_a9/