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- W2034668483 abstract "A comparison is made of the constitutive equations of Rivlin and Ericksen, Reiner and Rivlin, Oldroyd, and a linear viscoelastic relation, by using them in solving the problem of finite-amplitude lowfrequency oscillation of a flat plate bounding a semi-infinite body of fluid. For the purpose of this problem, the Oldroyd equation can be converted into the form of a Rivlin-Ericksen equation. The latter contains as special cases the other two constitutive equations mentioned. The effects of stress-relaxation and non-linearity are discussed. On fait une comparaison entre les équations d'état de Rivlin et Ericksen, Reiner et Rivlin et de Oldroyd, et une relation viscoélastique linéaire, en les utilisant pour résoudre le problème de l'oscillation à basse fréquence et d'amplitude finie d'une paroi plane limitant un fluide semi-indéfini. La solution de ce problème peut être obtenue en transformant l'équation de Oldroyd en une équation de Rivlin-Ericksen. Celle-ci comporte, comme cas particuliers, les deux autres équations d'état signalées plus haut. On présente une discussion sur les effets de la relaxation des contraintes et de la non-linéarité. Die Grundgleichungen von Rivlin und Ericksen, Reiner und Rivlin, Oldroyd und eine lineare viskoelastische Beziehung werden miteinander verglichen, und zwar indem sie zur Lösung eines Problemes herangezogen werden, das sich mit niederfrequenten Schwingungen endlicher Amplitude einer flachen Platte befasst, die einen halbunendlichen Flüssigkeitskörper abgrenzt. Zur Lösung des Problemes kann die Oldroyd Gleichung in die Form einer Rivlin-Ericksen Gleichung gebracht werden. Die Letztere enthält die beiden anderen erwähnten Grundgleichungen als Spezialfälle. Entspannungsund Nichtliearitätseffekte werden besprochen. Si fa un'esame comparativo delle equazioni fondamentali di Rivlin ed Ericksen, Reiner e Rivlin, Oldroyd con una relazione viscoelastica, usandole nella soluzione del problema di oscillazione a bassa frequenza e ampiezza limitata di una piastra piana limitante un corpo semi-infinito di fluido. Per l'applicazione al problema speciflco, l'equazione di Oldroyd è convertibile in forma di equazione di Rivlin-Ericksen. Quest'ultima comprende, corne casi speciali, le altre due equazioni fondamentali menzionate. Si trattano gli effetti di rilassamento da sollecitazione e la non-linearità. Sдeлaнo sraвнeниe кoнSтитuтивныч uraвнeний rивлинa и Эrикseнa, reйнera и rивлинa, oлдroйдa и линeйнoгo виsкou.пruтoгo oтнoщeния, uпoтreбляя ич для reщeния пroблeм кoлeбaния, S кoнeчнoй aмплитuдoй и низкoй чasтoтoй, плosкoй плиты, гraничaщeй s пoлuбesкoнeчным тeлoм тeкuчeгo вeщesтвa. Для цeди reщeния тaкoй пroблeмы uraвнeниe oлдroйдa мoжeт быть измeнeнo в фorмu uraвнeния ПивлинaЭrикseнa. Пosлeднee soдerжит, кaк sпeциaльныe sлuчaи, двa дruгич uпoмянuтыч кoнsтитuтивныч uraвнeния. Диsкussиrueтsя Эффeкт osлaблeния нaпrяжeния и sлuчaй нeлинeйнosти." @default.
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- W2034668483 date "1964-06-01" @default.
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- W2034668483 title "Finite amplitude shear waves in some non-newtonian fluids" @default.
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- W2034668483 doi "https://doi.org/10.1016/0020-7225(64)90027-8" @default.
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