土質材料におけるせん断変形挙動の降伏曲線形状への依存性

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  • Dependency of Shear Deformation Behaviour in Soil upon Shape of Yield Curve
  • ドシツ ザイリョウ ニ オケル センダン ヘンケイ キョドウ ノ コウフク キョクセン ケイジョウ エ ノ イゾンセイ

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The volumetric change accompanying with plastic shear deformation causes the dependency of q on p where p and q respectively represent the hydrostatic pressure and the equivalent deviatoric stress in yielding. Their dependency is called yield curve or yield function. In geomechanics Cam-clay and cap models have been frequently used as yield curve. In the last report we examined the shapes of yield curve based on the deformation behaviour observed in the published experiments where a parallel piped specimen was compressed under plane strain condition or a cylindrical specimen was extended in axial direction increasing confining pressure. In many cases the shape of yield curve were different from those in Cam-clay and cap models. In this paper the inverse prediction is discussed where the deformation behaviour is predicted according to the yield curve and hardening charcteristics obtained in the last report. First, the method of the inverse treatment is proposed, and then the comparison is made between predicted behaviour and the observed one. On the whole the inverse prediction is successful, but an abnormal prediction arises in the case that the term ƒr+α tends to zero or to be negative where ƒr;, represents the ratio of compressive volumetric strain rate to distortional strain rate and a is the hardening ratio constant. So far geomechanics has been developed under the condition of α=0. In such framework the abnormal prediction can be brought about at positive volumetric strain rate, and so introducing of hardening ratio constant must be considered. Stress point (p, q) moves with progressive deformation. Under plane strain compression the stress point approaches to the critical state line with the increase of deformation, and finally reaches to it. It is proved that the movement of stress point always stops on the critical state line regardless of the hardening characteristics of deforming soil.

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