The similarities of the non-linear chemical （NLC） fingerprints of Radix Glycyrrhizaes from four producing areas and eight other traditional Chinese medicines （TCMs） were calculated, using a systemic similarity cal...The similarities of the non-linear chemical （NLC） fingerprints of Radix Glycyrrhizaes from four producing areas and eight other traditional Chinese medicines （TCMs） were calculated, using a systemic similarity calculation method proposed and three other main calculation ones （Euclidean distance, correlation coefficient and included angle cosine）. All of the correlation coefficient similarities of different TCMs are higher than 0.952, and the included angle cosines are all higher than 0.962. So, both the conelation coefficient and included angle cosine similarities are unable to be used as the criteria for quantitatively evaluating the similarities of NLC fingerprints of TCMs. Although all of the Euclidean distance similarities of Berry Liquorices from four producing areas are less than 73, those of the other eight TCMs are all more than 180. The Euclidean distance cannot reflect the relative magnitudes of the feature differences in the NLC fingerprints very correctly. The systemic similarity method is the best among the four ones. All of the systemic similarities of Berry Liquorices from the four producing areas are higher than 0.962, while those of the other eight TCMs are all lower than 0.805, and the systemic similarity can reflect the differences between samples most faithfully, and can be used as a quantitative one evaluating the similarities of NLC fingerprints of TCMs, by which TCM could be distinguished and evaluated quickly, simply and exactly.展开更多
The authors give an upper bound for the projective plane crossing number of a circular graph. Also, the authors prove the projective plane crossing numbers of circular graph C （8, 3） and C （9, 3） are 2 and 1, resp...The authors give an upper bound for the projective plane crossing number of a circular graph. Also, the authors prove the projective plane crossing numbers of circular graph C （8, 3） and C （9, 3） are 2 and 1, respectively.展开更多
In this paper,the generalized Boussinesq wave equation u tt-uxx+a(um) xx+buxxxx=0 is investigated by using the bifurcation theory and the method of phase portraits analysis.Under the different parameter conditions,the...In this paper,the generalized Boussinesq wave equation u tt-uxx+a(um) xx+buxxxx=0 is investigated by using the bifurcation theory and the method of phase portraits analysis.Under the different parameter conditions,the exact explicit parametric representations for solitary wave solutions and periodic wave solutions are obtained.展开更多
The second Poincard kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincard symmetry is presented and their properties are analyzed. On the geo...The second Poincard kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincard symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants （c, l） can be established.展开更多
Various microstructure-level finite element models were generated according to the real microstructure of DP590 steel to capture the mechanical behavior and fracture mode.The failure mode of the dual-phase(DP)steels,m...Various microstructure-level finite element models were generated according to the real microstructure of DP590 steel to capture the mechanical behavior and fracture mode.The failure mode of the dual-phase(DP)steels,mainly resulting from microstructure-level inhomogeneity and initial geometrical imperfection,was predicted using the plastic strain localization theory.In addition,dog-bone-type tensile test specimens with different edge qualities were prepared and the deformation processes were recorded using a digital image correlation system.When the steel exhibited no initial geometrical imperfection,void initiation was triggered by decohesion between martensite and ferrite which was predicted based on the severe strain concentration,or tensile stress in areas where stress triaxiality and strain values were high.Final failure was caused by shear localization in the vicinity.Moreover,the initial geometrical imperfections severely affected the overall ductility and failure mode of the DP590steel.When initial geometrical imperfections were deeply ingrained,an incipient crack began at the site of initial geometrical imperfection,and then caused progressive damage throughout the microstructure,from the area of shear localization to the final fracture.Overall,the depth of the geometrical imperfection was the critical factor in determining whether internal decohesion or a local crack plays a dominant role.展开更多
基金Project(2009GJD20033) supported by the National Science and Technology Ministry of China
文摘The similarities of the non-linear chemical （NLC） fingerprints of Radix Glycyrrhizaes from four producing areas and eight other traditional Chinese medicines （TCMs） were calculated, using a systemic similarity calculation method proposed and three other main calculation ones （Euclidean distance, correlation coefficient and included angle cosine）. All of the correlation coefficient similarities of different TCMs are higher than 0.952, and the included angle cosines are all higher than 0.962. So, both the conelation coefficient and included angle cosine similarities are unable to be used as the criteria for quantitatively evaluating the similarities of NLC fingerprints of TCMs. Although all of the Euclidean distance similarities of Berry Liquorices from four producing areas are less than 73, those of the other eight TCMs are all more than 180. The Euclidean distance cannot reflect the relative magnitudes of the feature differences in the NLC fingerprints very correctly. The systemic similarity method is the best among the four ones. All of the systemic similarities of Berry Liquorices from the four producing areas are higher than 0.962, while those of the other eight TCMs are all lower than 0.805, and the systemic similarity can reflect the differences between samples most faithfully, and can be used as a quantitative one evaluating the similarities of NLC fingerprints of TCMs, by which TCM could be distinguished and evaluated quickly, simply and exactly.
基金the National Natural Science Foundation of China under Grant No.10671073Scientific Study Foundation of the Talented People Gathered by Nantong University+2 种基金Science and Technology Commission of Shanghai Municipality under Grant No.07XD14011Shanghai Leading Academic Discipline Project under Grant No.B407Natural Science Foundation of Jiangsu's Universities under Grant No.07KJB110090
文摘The authors give an upper bound for the projective plane crossing number of a circular graph. Also, the authors prove the projective plane crossing numbers of circular graph C （8, 3） and C （9, 3） are 2 and 1, respectively.
基金Supported by the National Natural Science Foundation of China under Grant No. 10974160the Scientific Research Foundation of the Education Department of Sichuan Province of China under Grant No. 10ZA004
文摘In this paper,the generalized Boussinesq wave equation u tt-uxx+a(um) xx+buxxxx=0 is investigated by using the bifurcation theory and the method of phase portraits analysis.Under the different parameter conditions,the exact explicit parametric representations for solitary wave solutions and periodic wave solutions are obtained.
基金Supported by the National Natural Science Foundation of China under Grant Nos. 10775140,10705048,10731080,10975141,11175245,11075206the President Fund of GUCASthe Fundamental Research Funds for the Central Universities under Grant No. 105116
文摘The second Poincard kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincard symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants （c, l） can be established.
基金supported by the National Natural Science Foundation of China(Grant No.51105250)
文摘Various microstructure-level finite element models were generated according to the real microstructure of DP590 steel to capture the mechanical behavior and fracture mode.The failure mode of the dual-phase(DP)steels,mainly resulting from microstructure-level inhomogeneity and initial geometrical imperfection,was predicted using the plastic strain localization theory.In addition,dog-bone-type tensile test specimens with different edge qualities were prepared and the deformation processes were recorded using a digital image correlation system.When the steel exhibited no initial geometrical imperfection,void initiation was triggered by decohesion between martensite and ferrite which was predicted based on the severe strain concentration,or tensile stress in areas where stress triaxiality and strain values were high.Final failure was caused by shear localization in the vicinity.Moreover,the initial geometrical imperfections severely affected the overall ductility and failure mode of the DP590steel.When initial geometrical imperfections were deeply ingrained,an incipient crack began at the site of initial geometrical imperfection,and then caused progressive damage throughout the microstructure,from the area of shear localization to the final fracture.Overall,the depth of the geometrical imperfection was the critical factor in determining whether internal decohesion or a local crack plays a dominant role.
