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关于一个加法幂等元半环簇的有限基底问题 被引量:5
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作者 赵茜 任苗苗 张穗 《纯粹数学与应用数学》 2020年第2期207-217,共11页
研究了由x^2≈x确定的加法幂等元半环簇和xy≈zt确定的加法幂等元半环簇的并W(即包含上述两个簇的并集的最小的簇)的有限基底问题.证明了W是有限基底的,且W的子簇格是阶为312的分配格.
关键词 加法幂等元半环簇 恒等式 有限基底
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关于加法幂等元半环簇的几个结果 被引量:1
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作者 任苗苗 赵宪钟 《纯粹数学与应用数学》 2018年第4期406-410,共5页
证明了若一个加法幂等元半环是遗传非有限基底的,则它的乘法导出也是遗传非有限基底的.作为该结果的应用,表明了满足恒等式x^n≈x的有限加法幂等元半环和阶数小于6的加法幂等元半环都不是遗传非有限基底的.其次,证明了恒等式x^n≈x加法... 证明了若一个加法幂等元半环是遗传非有限基底的,则它的乘法导出也是遗传非有限基底的.作为该结果的应用,表明了满足恒等式x^n≈x的有限加法幂等元半环和阶数小于6的加法幂等元半环都不是遗传非有限基底的.其次,证明了恒等式x^n≈x加法幂等元半环簇的所有局部有限成员的类作成簇,从而回答了该簇的限制Burnside问题.最后,给出了相关文献的主要结果的一个简洁证明. 展开更多
关键词 加法幂等元半环 遗传非有限基底 局部有限
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关于满足x^2≈x和xy≈yx的ai-半环簇
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作者 任苗苗 韩金 邵勇 《陕西师范大学学报(自然科学版)》 CAS CSCD 北大核心 2019年第2期10-12,共3页
研究了满足恒等式x^2≈x和xy=yx的(2,2,0,0)型ai-半环簇,证明了这些簇作成的格是含有3个元素的链,且它们都是有限基底的。
关键词 ai-半环簇 子簇格 有限基底
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Failure of circular shaft subjected to hydraulic uplift: Field and numerical investigation 被引量:3
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作者 ZHAO Guo-qing YANG Yu-you MENG Su-yun 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第1期256-266,共11页
A working shaft for pipe-jacking is going to be excavated into a sand stratum with high hydraulic pressure in Guangzhou, China. A newly assembled pre-stressed retaining system has been proposed to support the shaft fo... A working shaft for pipe-jacking is going to be excavated into a sand stratum with high hydraulic pressure in Guangzhou, China. A newly assembled pre-stressed retaining system has been proposed to support the shaft for its efficiency, safety and sustainability. Full-scale field tests and numerical analysis were conducted to analyze the base failure of the circular shaft with confined water. The failure process of the shaft was observed on site. The construction process of step-by-step excavation of shaft and layer-by-layer assembly of pre-stressed structure was simulated in detail. Simulation results agree well with the phenomenon on site. The base failure modes present that tensile damage generates at the center of the base due to non-uniform uplift and shear failure occurs along the soil-structure interface. The effects of shaft size and confined water head were also discussed. As a result, a critical ratio of diameter to shaft depth is put forward to assess the size effect of circular shaft. A conclusion that the soil strength should be partially considered in anti-inrushing safety factor calculation is drawn by analysis and comparison of various calculation methods. This research provides a reference for the base stability evaluation of similar shaft subjected to hydraulic uplift. 展开更多
关键词 circular shaft field test finite element analysis base stability water inrush
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Effect of the number of layers on the bond strength for multi-layer brittle coating-substrate system 被引量:1
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作者 WANG YongGuang NI ZiFeng +3 位作者 CHEN GuoZhong CHEN AnQi SU YongShuai ZHAO YongWu 《Science China(Technological Sciences)》 SCIE EI CAS 2012年第10期2936-2940,共5页
Finite element method(FEM) was used to investigate the effect of the number of layers on the bond strength for the brittle coating/substrate materials at contact load condition,which has not been addressed previously.... Finite element method(FEM) was used to investigate the effect of the number of layers on the bond strength for the brittle coating/substrate materials at contact load condition,which has not been addressed previously.The maximum shear stress was used to act as the criterion of the bonded strength.This paper discussed the relationship between the number of coating layers and the maximum shear stress of the layer/substrate interface.Firstly,the results of the FEM and the Hertz analytical method were compared to verify the accuracy of the FEM model.It was found that with the increase in the number of coating layers,the position of the suddenly changed stress along the z axis is transformed from the interface to the external surface of the coating.Finally,the increase in the number of layers contributes to the decrement of the stress along the x axis. 展开更多
关键词 brittle coating number of layers bond strength
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