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Thermistor Analogs for Model Viscous and Viscoelastic Systems

 

作者: I. J. Gruntfest,  

 

期刊: Transactions of the Society of Rheology  (AIP Available online 1965)
卷期: Volume 9, issue 2  

页码: 213-225

 

ISSN:0148-6055

 

年代: 1965

 

DOI:10.1122/1.548999

 

出版商: The Society of Rheology

 

数据来源: AIP

 

摘要:

The physical and mathematical similarity of the resistance‐temperature relation in thermistors to the viscosity‐temperature relation in typical liquids makes it possible to simulate the essential nonlinearity of the flow of model Newtonian liquids by the use of an electric analog. Simple measurements of current and voltage take the place of detailed computation. Circuits containing a thermistor and capacitor provide a model for nonlinear viscoelastic materials. A transmission line containing thermistors would be applicable where inertial terms are important and both the time and space variation of the stress would be significant. The behavior of simple analogs described here agrees with available numerical computations. In addition, it duplicates experimentally observed temperature effects and apparent departures from Newtonian behavior in liquids as well as necking, yield, fracture, creep, strain hardening, and stick‐slip effects in solids. This electric analog literally simulates the model mechanical system. In contrast, the widely discussed simulation of linear viscoelasticity by electric networks is figurative. That is, there, the well‐developed mathematics of linear circuits was applied to the mechanical system. The new simulation is effective over wide ranges of stress, strain, and time even with a single thermistor.

 

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