Owing to different influence factors of foundation soil,the initial stress state of the soil under various working conditions is complex.To simulate this situation,in this paper,a series of tests on undisturbed soft c...Owing to different influence factors of foundation soil,the initial stress state of the soil under various working conditions is complex.To simulate this situation,in this paper,a series of tests on undisturbed soft clay under pure principal stress axis rotation were carried out by using the hollow cylinder apparatus(HCA).The influence of initial consolidation angle ζ(the angle between the vertical direction and direction of the applied load in consolidation)and intermediate principal stress coefficient b on pore water pressure accumulation of undisturbed soft clay were mainly studied.The test results show that,during pure principal stress axis rotation,the pore water pressure accumulation of the undisturbed soft clay fluctuates and increases with the rotation of the major principal stress;the values of major principal stress anglesα,corresponding to the peak value of the pore water pressure in a certain cycle,are different with different initial consolidation angles;the pore water pressure accumulation of soft clay is greatly affected by the intermediate principal stress coefficient b.With the fixed initial consolidation angle ζ,the variation trend of the maximum pore water pressure for each cycle is appropriately the same with different b values.With the increase of cycles,the difference value of pore water pressure between b=0 and b=1 in each cycle increases gradually with different initial consolidation angles ζ.While with different initial consolidation anglesζ,the increase of the pore water pressure when b increases from 0 to 0.5 is different with that when b increases from 0.5 to 1;the variation of maximum pore water pressure withζis significantly affected by the value of b;the value of maximum pore water pressure increases with the cycle number increases under all test conditions,but the growth rate decreases gradually.And the variation of maximum pore water pressure with the cycle number N is obviously influenced by both ζ and b.展开更多
In this paper, we show that, without involving the C~*-bundle theory, elementary differ- ential topology can do the classification of homogeneous C~*-crossed product C(X)×α Z, where X is a compact differentiable...In this paper, we show that, without involving the C~*-bundle theory, elementary differ- ential topology can do the classification of homogeneous C~*-crossed product C(X)×α Z, where X is a compact differentiable manifold of low dimension and α is a diffeomorphism of X. The motivation of this work is the Shultz’s theorem which states that a C~*-algebra can be identified with its pure state space carrying w~*-topology and certain geometric structure.展开更多
基金financially supported by the National Key Research and Development Program of China(Grant No.2019YFC1510803-2)the National Natural Science Foundation of China(Grant Nos.51639002 and 51809034)+3 种基金the China Postdoctoral Science Foundation(Grant No.2019M662533)the Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical EngineeringInstitute of Rock and Soil Mechanics,Chinese Academy of Sciences(Grant No.Z017012)the Open Fund of State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology(Grant No.LP2014)。
文摘Owing to different influence factors of foundation soil,the initial stress state of the soil under various working conditions is complex.To simulate this situation,in this paper,a series of tests on undisturbed soft clay under pure principal stress axis rotation were carried out by using the hollow cylinder apparatus(HCA).The influence of initial consolidation angle ζ(the angle between the vertical direction and direction of the applied load in consolidation)and intermediate principal stress coefficient b on pore water pressure accumulation of undisturbed soft clay were mainly studied.The test results show that,during pure principal stress axis rotation,the pore water pressure accumulation of the undisturbed soft clay fluctuates and increases with the rotation of the major principal stress;the values of major principal stress anglesα,corresponding to the peak value of the pore water pressure in a certain cycle,are different with different initial consolidation angles;the pore water pressure accumulation of soft clay is greatly affected by the intermediate principal stress coefficient b.With the fixed initial consolidation angle ζ,the variation trend of the maximum pore water pressure for each cycle is appropriately the same with different b values.With the increase of cycles,the difference value of pore water pressure between b=0 and b=1 in each cycle increases gradually with different initial consolidation angles ζ.While with different initial consolidation anglesζ,the increase of the pore water pressure when b increases from 0 to 0.5 is different with that when b increases from 0.5 to 1;the variation of maximum pore water pressure withζis significantly affected by the value of b;the value of maximum pore water pressure increases with the cycle number increases under all test conditions,but the growth rate decreases gradually.And the variation of maximum pore water pressure with the cycle number N is obviously influenced by both ζ and b.
文摘In this paper, we show that, without involving the C~*-bundle theory, elementary differ- ential topology can do the classification of homogeneous C~*-crossed product C(X)×α Z, where X is a compact differentiable manifold of low dimension and α is a diffeomorphism of X. The motivation of this work is the Shultz’s theorem which states that a C~*-algebra can be identified with its pure state space carrying w~*-topology and certain geometric structure.
