A THEORETICAL STUDY ON DUCTILE SHEARING BANDS BASED UPON STRAIN GRADIENT PLASTICITY THEORY
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摘要: 地质领域中存在的大量事实都可以归为应变局部化范畴,韧性剪切带是剪切应变局部化带。本文首次应用应变梯度塑性理论对韧性剪切带进行了理论分析。获得了韧性剪切带内部局部剪应变(率)分布规律,剪切带错动总位移及剪切带法向位移的理论表达式,以及韧性剪切带内部体积应变(率)和孔隙率分布规律。剪应变局部化导致了体积应变和孔隙率局部化。随着应变软化的加剧,剪应变、体积应变和孔隙率局部化加剧;随着应力率绝对值的增加,剪应变率、体积应变率集中程度增强。Abstract: Many usual phenomena in the realm of geology can be seen as strain localization. Ductile shearing bands are shearing strain localization bands. In the first time, a theoretical study on ductile shearing bands based upon strain gradient plasticity theory is conducted in this paper. The regularities of the shear strain and the ratio of shear strain in the shearing bands are got. The theoretical formulas about the displacement of the shearing bands in the two perpendicular directions are obtained. Besides, the regularities of the volumetric strain and the ratio of volumetric strain in the shearing bands are also got. The strain localization causes volumetric strain localization and the localization of porosity factor. If the strain softening intensifies, the shear strain and the volumetric strain localization intensify. Along with the increase of absolute ratio of shear stress, the intensive extent of ratio of shear strain and volumetric strain intensifies.
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