電気回路理論からみたレオロジー : 混合による緩和周波数スペクトル
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概要
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This paper describes a general theory on the rheological dispersion caused when substances of different sorts are mixed. In rheological researches, it is usual that experimental results are directly connected to molecular structure. The present theory suggests that such a method is premature, because measured dispersions may have been possibly caused by the mixing. As an example, a case of series mixture is treated here. The new dispersion appeared in this case corresponds to the Maxwell-Wagner dispersion in the problem of dielectrics. To discuss the case of a general mixture, the electrical circuit theory is applied. First of all, equivalent circuit model of the general mechanical system is shown. This circuit was already obtained by G. Kron, but as some errors are found in it, they are corrected in this paper. the circuit is composed of ideal transformers and two kinds of elements with admittances of 2μΔl and λΔl (where μ and λ are complex Lame moduli, and Δl is an elementary length). Assuming that the sample body is noncompressible, the elements of the circuit are reduced to only one kind (2μΔl). If the sample is made of binary mixture of such substances, the equivalent circuit for the sample are to imply only two kinds of elements. General form of the appearent complex modulus of the mixture is obtained as a function of the moduli of the components, applying the Cauer's theory on 2-terminal impedance of the electrical network composed of two kinds of elements.
- 1960-04-15
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