This paper generalizes the factorization theorem of Gouveia,Parrilo and Thomas to a broader class of convex sets.Given a general convex set,the authors define a slack operator associated to the set and its polar accor...This paper generalizes the factorization theorem of Gouveia,Parrilo and Thomas to a broader class of convex sets.Given a general convex set,the authors define a slack operator associated to the set and its polar according to whether the convex set is full dimensional,whether it is a translated cone and whether it contains lines.The authors strengthen the condition of a cone lift by requiring not only the convex set is the image of an affine slice of a given closed convex cone,but also its recession cone is the image of the linear slice of the closed convex cone.The authors show that the generalized lift of a convex set can also be characterized by the cone factorization of a properly defined slack operator.展开更多
In order to obtain the reasonable undrained shear strength Su for geotechnical analyses of bridge foundations in Yangtze River floodplain clayey soils, a site-specific study is conducted using the imported piezocone p...In order to obtain the reasonable undrained shear strength Su for geotechnical analyses of bridge foundations in Yangtze River floodplain clayey soils, a site-specific study is conducted using the imported piezocone penetration test （CPTu） with dissipation phases at the Fourth Nanjing Yangtze River Bridge construction sites. Taking the values of Su from laboratory tests as references, several existing Su-predicted methods based on CPTu are compared and evaluated. To verify the presented cone factor Nk, additional test sites are selected and examined. The results show that the values of cone factors such as Nkt, Nke, and Nau, depend on the shear test mode and disturbance. Generally, the values of Nke show more scattering than those of Nkt and N△u. For the stratified and layered sediments of the Yangtze River floodplain, it is recommended using the net cone resistance qT to estimate Su and the preliminary cone factor values Nkt are from 7 to 16, with an average of 11. It is also confirmed that the CPTu test, as a new technique in site characterization, can present reasonable parameters for bridge foundations.展开更多
The aim of this paper is to evaluate the liquefaction-induced ground deformations of sand-like soils based on Cone Penetration Tests (CPT) at Semani site, Fieri prefecture in Albania. These tests are performed during ...The aim of this paper is to evaluate the liquefaction-induced ground deformations of sand-like soils based on Cone Penetration Tests (CPT) at Semani site, Fieri prefecture in Albania. These tests are performed during the process of investigation of this area, in which a Liquid Natural Gas Terminal-Power Plant was supposed to be built. This paper presents the assessment of the liquefaction and of the liquefaction-induced ground deformations such as lateral spreading displacement and post-liquefaction reconsolidation settlement. The liquefaction-induced lateral spreading and post-liquefaction reconsolidation settlement are estimated based on CPT data according to the method in MNO-12 “soil liquefaction during earthquake”, presented by Idriss and Boulanger (2008). This evaluation is very important and should be taken into consideration for the design of engineering structures that will be constructed in this area. All the calculation’s results are shown in graphs. At the end, there are highlighted some conclusions regarding the liquefaction-induced ground deformations in this site.展开更多
目的 本研究旨在通过影像学资料分析、探讨上颌窦局部解剖结构的差异和相关性及其对侧壁开窗上颌窦底提升主要并发症发生的影响,为避免并发症的发生提供部分参考。方法对380名患者(男性206名,女性174名)的上颌窦影像进行锥形束CT扫描分...目的 本研究旨在通过影像学资料分析、探讨上颌窦局部解剖结构的差异和相关性及其对侧壁开窗上颌窦底提升主要并发症发生的影响,为避免并发症的发生提供部分参考。方法对380名患者(男性206名,女性174名)的上颌窦影像进行锥形束CT扫描分析,分别测量上颌窦宽度、上颌窦外侧壁与内侧壁在上颌窦底形成的角度(lateral and the medial walls with respecttothefloorofthesinus,LFM)、上颌窦外侧壁厚度、上颌窦底黏骨膜厚度、上颌窦外侧壁血管直径、剩余牙槽骨高度,并分析导致侧壁开窗上颌窦底提升并发症发生与局部解剖因素之间的相关性。结果 上颌窦宽度与LFM呈正相关,此相关性在各位点中均具有统计学意义(P<0.05)。剩余牙槽骨高度与上颌窦外侧壁厚度、血管直径与外侧壁厚度、血管直径与剩余牙槽骨高度之间呈正相关,其相关性在部分位点中具有统计学意义(P<0.05)。结论 从影像学角度出发进行研究和统计分析,发现在可能引起侧壁开窗上颌窦底提升并发症的因素中,上颌窦宽度与LFM、剩余牙槽骨高度与上颌窦外侧壁厚度、血管直径与上颌窦外侧壁厚度、血管直径与剩余牙槽骨高度具有正相关关系。展开更多
基金supported by Equipment Pre-Research Field Fund under Grant Nos.JZX7Y20190258055501,JZX7Y20190243016801the National Natural Science Foundation of China under Grant No.11901544+2 种基金the National Key Research Project of China under Grant No.2018YFA0306702the National Natural Science Foundation of China under Grant No.11571350supported by National Institute for Mathematical Sciences 2014 Thematic Program on Applied Algebraic Geometry in Daejeon,South Korea。
文摘This paper generalizes the factorization theorem of Gouveia,Parrilo and Thomas to a broader class of convex sets.Given a general convex set,the authors define a slack operator associated to the set and its polar according to whether the convex set is full dimensional,whether it is a translated cone and whether it contains lines.The authors strengthen the condition of a cone lift by requiring not only the convex set is the image of an affine slice of a given closed convex cone,but also its recession cone is the image of the linear slice of the closed convex cone.The authors show that the generalized lift of a convex set can also be characterized by the cone factorization of a properly defined slack operator.
基金The National Natural Science Foundation of China(No.40702047)
文摘In order to obtain the reasonable undrained shear strength Su for geotechnical analyses of bridge foundations in Yangtze River floodplain clayey soils, a site-specific study is conducted using the imported piezocone penetration test （CPTu） with dissipation phases at the Fourth Nanjing Yangtze River Bridge construction sites. Taking the values of Su from laboratory tests as references, several existing Su-predicted methods based on CPTu are compared and evaluated. To verify the presented cone factor Nk, additional test sites are selected and examined. The results show that the values of cone factors such as Nkt, Nke, and Nau, depend on the shear test mode and disturbance. Generally, the values of Nke show more scattering than those of Nkt and N△u. For the stratified and layered sediments of the Yangtze River floodplain, it is recommended using the net cone resistance qT to estimate Su and the preliminary cone factor values Nkt are from 7 to 16, with an average of 11. It is also confirmed that the CPTu test, as a new technique in site characterization, can present reasonable parameters for bridge foundations.
文摘The aim of this paper is to evaluate the liquefaction-induced ground deformations of sand-like soils based on Cone Penetration Tests (CPT) at Semani site, Fieri prefecture in Albania. These tests are performed during the process of investigation of this area, in which a Liquid Natural Gas Terminal-Power Plant was supposed to be built. This paper presents the assessment of the liquefaction and of the liquefaction-induced ground deformations such as lateral spreading displacement and post-liquefaction reconsolidation settlement. The liquefaction-induced lateral spreading and post-liquefaction reconsolidation settlement are estimated based on CPT data according to the method in MNO-12 “soil liquefaction during earthquake”, presented by Idriss and Boulanger (2008). This evaluation is very important and should be taken into consideration for the design of engineering structures that will be constructed in this area. All the calculation’s results are shown in graphs. At the end, there are highlighted some conclusions regarding the liquefaction-induced ground deformations in this site.
文摘目的 本研究旨在通过影像学资料分析、探讨上颌窦局部解剖结构的差异和相关性及其对侧壁开窗上颌窦底提升主要并发症发生的影响,为避免并发症的发生提供部分参考。方法对380名患者(男性206名,女性174名)的上颌窦影像进行锥形束CT扫描分析,分别测量上颌窦宽度、上颌窦外侧壁与内侧壁在上颌窦底形成的角度(lateral and the medial walls with respecttothefloorofthesinus,LFM)、上颌窦外侧壁厚度、上颌窦底黏骨膜厚度、上颌窦外侧壁血管直径、剩余牙槽骨高度,并分析导致侧壁开窗上颌窦底提升并发症发生与局部解剖因素之间的相关性。结果 上颌窦宽度与LFM呈正相关,此相关性在各位点中均具有统计学意义(P<0.05)。剩余牙槽骨高度与上颌窦外侧壁厚度、血管直径与外侧壁厚度、血管直径与剩余牙槽骨高度之间呈正相关,其相关性在部分位点中具有统计学意义(P<0.05)。结论 从影像学角度出发进行研究和统计分析,发现在可能引起侧壁开窗上颌窦底提升并发症的因素中,上颌窦宽度与LFM、剩余牙槽骨高度与上颌窦外侧壁厚度、血管直径与上颌窦外侧壁厚度、血管直径与剩余牙槽骨高度具有正相关关系。
