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:评价利用隧道技术,在前牙区缺牙位点应用去蛋白牛骨基质(Deproteinizedboving bone mineral,DBBM)和可吸收生物膜联合浓缩生长因子(Concentrate growth factors,CGF)行牙槽嵴保存技术,维持缺牙位点骨量的有效性。方法:收集2020年6...目的:评价利用隧道技术,在前牙区缺牙位点应用去蛋白牛骨基质(Deproteinizedboving bone mineral,DBBM)和可吸收生物膜联合浓缩生长因子(Concentrate growth factors,CGF)行牙槽嵴保存技术,维持缺牙位点骨量的有效性。方法:收集2020年6月-2022年6月来首都医科大学电力教学医院口腔科就诊需要进行前牙区牙槽嵴保存技术的患者共140例,按乱数表法分成两组,每组70例。试验组:在微创拔牙位点上,通过隧道技术,利用DBBM和可吸收生物膜联合CGF行牙槽嵴保存技术。对照组:微创拔牙后,牙槽窝内充填胶原蛋白海绵。术后6个月进行随访,利用CBCT观察和测量牙槽骨骨量的变化。结果:试验组中,唇、腭侧骨高度术后6个月和术前接近(P>0.05),骨宽度术后6个月比术前减少(P<0.05)。对照组中,唇、腭侧骨高度和骨宽度术后6个月比术前明显减少(P<0.05)。试验组的骨高度、骨宽度术后6个月和术前的差值明显少于对照组(P<0.05)。结论:利用隧道技术,在前牙区缺牙位点应用DBBM和Bio-Gide联合CGF行牙槽嵴保存术,能够有效维持拔牙位点的骨量,有益于后期种植体植入。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:评价利用隧道技术,在前牙区缺牙位点应用去蛋白牛骨基质(Deproteinizedboving bone mineral,DBBM)和可吸收生物膜联合浓缩生长因子(Concentrate growth factors,CGF)行牙槽嵴保存技术,维持缺牙位点骨量的有效性。方法:收集2020年6月-2022年6月来首都医科大学电力教学医院口腔科就诊需要进行前牙区牙槽嵴保存技术的患者共140例,按乱数表法分成两组,每组70例。试验组:在微创拔牙位点上,通过隧道技术,利用DBBM和可吸收生物膜联合CGF行牙槽嵴保存技术。对照组:微创拔牙后,牙槽窝内充填胶原蛋白海绵。术后6个月进行随访,利用CBCT观察和测量牙槽骨骨量的变化。结果:试验组中,唇、腭侧骨高度术后6个月和术前接近(P>0.05),骨宽度术后6个月比术前减少(P<0.05)。对照组中,唇、腭侧骨高度和骨宽度术后6个月比术前明显减少(P<0.05)。试验组的骨高度、骨宽度术后6个月和术前的差值明显少于对照组(P<0.05)。结论:利用隧道技术,在前牙区缺牙位点应用DBBM和Bio-Gide联合CGF行牙槽嵴保存术,能够有效维持拔牙位点的骨量,有益于后期种植体植入。
