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• W2068832843 abstract "The transient response of selected Maxwell models to various modes of spatially homogeneous uniaxial elongation is studied qualitatively. New results include the effect of non-linearity on the creep curve (constant stress elongation), which leads to a delay in attaining steady flow, and the difference in recoverable strain estimates obtained from extrapolating the linear part of the creep curve back to zero time and from reducing the applied stress to zero. Constant force elongation is found to lead to mathematical difficulties (non-existence of solutions) for some models including the lower convected Maxwell model. The notion of a “limiting stretch rate” is re-examined critically and is seen to have meaning only once a mode of elongation is specified. For example, the maximum rate of strain attainable in constant force elongation of an upper convected Maxwell model is twice that attainable in constant stress elongation, and in fact any desired constant rate of strain may be obtained provided only that the stress is increased rapidly enough. The correspondence of a class of rate equations (Gordon-Schowalter-Everage) to integral equations based on non-linear strain measures due to Seth is established for elongational flow and is exploited to obtain initial values of strain and rate of strain when a load is applied suddenly. Extension of the results to more complicated models is discussed and the relative merits of some of the simple (three-parameter) models are examined." @default.
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• W2068832843 date "1977-05-01" @default.
• W2068832843 modified "2023-10-14" @default.
• W2068832843 title "On stretching maxwell models" @default.
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• W2068832843 doi "https://doi.org/10.1016/0377-0257(77)80002-5" @default.
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