夹胶玻璃夹层的分数粘弹性建模

B. Hálková, Jaroslav Schmidt
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引用次数: 0

摘要

分数阶微积分,即非整数阶导数和积分理论,可以有效地用于粘弹性材料的理论建模。本文主要研究了聚乙烯醇丁醛作为夹层玻璃的中间层。聚乙烯醇丁醛可以归类为粘弹性材料,引入分数粘弹性似乎是描述它的合适工具。本文简要介绍了弹簧单元及其在更复杂的理论模型中的联系。我们主要考虑广义麦克斯韦模型的标准形式和分数形式,并通过拟合实验分析得到的数据来说明它们的应用。
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Modelling of laminated glass interlayer by fractional viscoelasticity
Fractional calculus, i.e. the theory of derivatives and integrals of non-integer order, can be efficiently used for the theoretical modelling of viscoelastic materials. Our research is focused on the polyvinyl butyral which is used as an interlayer for the laminated glass. Polyvinyl butyral can be classified as a viscoelastic material and the introduction of the fractional viscoelasticity seems to be appropriate tool for its description. This paper briefly introduces the springpot element and its connection into more complex theoretical models. We mainly consider the generalized Maxwell model in its standard and fractional form and show their application by fitting the data obtained by experimental analysis.
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