異方性粘弾性体に対するレオロジー方程式とその応用

概要

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It has been suggested that the rheological equation of anisotropic viscoelastic material should be expressed in the form of differential equation, and its differential operators can be determined by consideration of Biot's equation derived on the basis of irreversible thermodynamics. The differential equation is given in two different forms, one of which is applicable to the analysis of relaxation phenomenon, and the other is to the creep analysis. There exist some relations among the differential operators in the two different forms of the equation. The correspondence principle proposed by Lee can be extended to the anisotropic case by introducing into it the suggested rheological equation. The extended correspondence principle has been adopted to making the analysis of the creep strain of orthotropic viscoelastic material under the plane strain condition, and its results may be applied to determining the viscoelastic constants of the material through experimental data. Discussion has also been made on the analysis of a circular tunnel subjected to uniformly distributed internal pressure in an orthotropic viscoelastic medium.
社団法人日本材料学会の論文
1971-02-15