Mechanical Models for Three Dimensional Linear Viscoelasticity

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概要

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• The rheological equations for three dimensional generalized Maxwell and Voigt models of mechanically linear viscoelasticity are presented in integral as well as differential forms. These three dimensional Maxwell and Voigt models are equivalent to each other, if the suitable relation holds between the relaxation function and the creep function. Introducing the mechanical relaxation and retardation spectra, we have differential rheological equations of which forms are essentially same as those of one dimensional cases. The stored energy and the dissipative energy are calculated for each model. From the view-point of application, the Voigt model is not very suitable because it gives an integro-differential equation for the deformation. As the application of the model, some examples of the simple elongation and of the simple shearing flow are treated.

• 社団法人日本物理学会の論文
• 1968-07-05

著者

• Yamamoto Misazo

  Department Of Physics Faculty Of Science Tokyo Metropolitan University

• Yamamoto Misazo

  Department Of Chemical And Metallurgical Engineering University Of Tennessee:department Of Physics F

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• Ellipsoidal Model for Non-Newtonian Intrinsic Viscosity of Chain Polymer Solution
• Phenomenological Theory of Non-Linear Viscoelasticity
• Lattice Theory of Melting of a Crystalline Polymer
• Relaxation Spectrum of Chain High Polymeric Substances
• Theoretical Analysis of New Rheometers
• The Visco-elastic Properties of Network Structure : III. Normal Stress Effect (Weissenberg Effect)
• Mechanical Models for Three Dimensional Linear Viscoelasticity
• The Visco-elastic Properties of Network Structure II. Structural Viscosity
• Phenomenological Theory of Visco-elasticity of Three Dimensional Bodies

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