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Acta Mathematica Sinica,English Series 2009年第12期25卷 2133-2156页

作者： fu shan LI School of Mathematical Sciences Qufu Normal University Qufu 273165 P. R. China

By Galerkin finite element method, we show the global existence and uniqueness of weak solution to the nonlinear viscoelastic full Marguerre-von Karman shallow shell equations.

关键词： global solution viscoelastic Marguerre-von Karman shallow shell

Convergence of the Solution to General Viscoelastic Koiter Shell Equations

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Acta Mathematica Sinica,English Series 2007年第9期23卷 1683-1688页

作者： fu shan LI School of Mathematical Sciences Qufu Normal University Qufu 273165 P. R. China and Institute of Mathematics Fudan University Shanghai 200433 P. R. China

By applying the inequality of Korn＇s type without boundary conditions on a general surface, we prove that the scaled displacement of the two-dimensional linearly viscoelastic Koiter＇s shell converges to the solution... 详细信息

关键词： Koiter's shells Korn's inequality membrane shells

A Generalized Yang-Mills Model and Dynamical Breaking of Gauge Symmetry

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Communications in Theoretical Physics 2005年第6期43卷 1083-1086页

作者： WANGDian-fu SONGHe-shan DepartmentofPhysics DalianUniversityofTechnologyDalian116024China

A generalized Yang-Mills model, which contains, besides the vector part Vμ, also a scalar part S, is constructed and the dynamical breaking of gauge symmetry in the model is also discussed. It is shown, in terms of Nambu-Jona-Lasinio (NJL) mechanism, that the gauge symmetry breaking can be realized dynamically in the generalized Yang-Mills model. The combination of the generalized Yang-Mills model and the NJL mechanism provides a way to overcome the difficulties related to the Higgs field and the Higgs mechanism in the usual spontaneous symmetry breaking theory.

关键词： Yang-Mills theory dynamical symmetry breaking

Dynamical Breaking of Generalized Yang-Mills Theory

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Communications in Theoretical Physics 2004年第6X期42卷 847-850页

作者： WANGDian-fu SONGHe-shan DepartmentofPhysics DalianUniversityofTechnologyDalian116024China

The dynamical breaking of a generalized Yang-Mills theory is discussed. It is shown, in terms of the Nambu-Jona-Lasinio mechanism, that the gauge symmetry breaking can be realized dynamically in the generalized Yang-Mills theory. The combination of the generalized Yang-Mills theory and the NJL mechanism provides a way to overcome the difficulties related to the Higgs field and the Higgs mechanism in the usual spontaneous symmetry breaking theory.

关键词：杨-米尔斯论力学断裂粒子物理学希格斯场对称性

Dynamical Model of QCD Vacuum and Quark Confinement

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Communications in Theoretical Physics 2004年第5期41卷 729-732页

作者： WANGDian-fu SONGHe-shan MIDong DepartmentofPhysics DalianUniversityofTechnologyDalian116024China

The phase transition of a simple local gauge model is investigated in terms of the Nambu–Jona-Lasinio mechanism and it is pointed out that the physical vacuum of QCD is bound state of quark-antiquark pairs which can be viewed, generally, as a nearly perfect color dia-electric medium. An important relation between the vacuum expectation value of gauge fields and scalar fields is also derived by solving the Euler equation for the gauge fields. Based on this relation the gauge potential is given which can be used to explain the asymptotic behavior and confinement of quarks in a hadron, and at the same time the Yukawa potential of strong interaction can be given too.

关键词： QCD vacuum quark confinement

Dynamical Model of QCD Vacuum and Color Thaw at Finite Temperatures

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Communications in Theoretical Physics 2004年第3X期42卷 385-388页

作者： WANGDian-fu SONGHe-shan MIDong DepartmentofPhysics DalianUniversityofTechnologyDalian116024China

In terms of the Nambu-Jona-Lasinio (NJL) mechanism, the dynamical symmetry breaking of a simple localgauge model is investigated. An important relation between the vacuum expectation value of gauge fields and scalarfields is derived by solving the Euler equation for the gauge fields. Based on this relation the SU(3) gauge potential isgiven which can be used to explain the asymptotic freedom and confinement of quarks in a hadron. The confinementbehavior at finite temperatures is also investigated and it is shown that color confinement at zero temperature can bemelted away under high temperatures.

关键词： QCD腔动力学模型有限温度色融化 Nambu-Jona-Lasinio器件欧拉方程

Existence and Uniqueness of Positive Solutions for Some Singular Boundary Value Problems with Linear functional Boundary Conditions

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Acta Mathematica Sinica,English Series 2011年第10期27卷 2073-2084页

作者： Zeng Qin ZHAO fu shan LI School of Mathematical Sciences Qufu Normal University Qufu 273165 P. R. China

By using the upper and lower solution method and fixed point theory, we investigate some nonlinear singular second-order differential equations with linear functional boundary conditions. The nonlinear term f（t, u） is nonincreasing with respect to u, and only possesses some integrability. We obtain the existence and uniqueness of the C[0, 1] positive solutions as well as the C1 [0, 1] positive solutions.

关键词： Linear functional boundary condition decreasing function positive solution upper and lower solution method fixed point theorem

Significantly Enhanced Melt Memory Effect of Metallocene-made Isotactic Polypropylene Containing Talc

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Chinese Journal of Polymer Science 2024年第2期42卷 213-222,I0008页

作者： Hong-Wen Sun fu-shan Wang Yan Gao fu-Qing Wei Jia-Chun Feng State Key Laboratory of Molecular Engineering of Polymers Department of Macromolecular ScienceFudan UniversityShanghai200433China Lanzhou Petrochemical Corporation of PetroChina Lanzhou730060China Lanzhou Petrochemical Research Center Petrochemical Research Institute of PetroChinaLanzhou730060China

The melt memory effect is a widely observed phenomenon in semi-crystalline polymers. In practical applications, various additives are usually introduced into polymers, which may affect their melt memory behavior. In this work, the effect of talc on the melt memory effect of metallocene-made isotactic polypropylene(M-PP) was investigated in detail by using the differential scanning calorimetry. The results indicated that the introduction of talc significantly strengthened the melt memory effect of M-PP. Specifically, the upper limit temperature of Domain II increased from 161 ℃ to 174 ℃, resulting in a substantial widening of the temperature range of Domain IIa from 1 ℃ to 14 ℃. Analysis of the crystal orientation of the M-PP containing talc cooled from various Ts suggested that the remarkably enhanced melt memory effect could be ascribed to the stabilization of oriented nuclei facilitated by talc. This stabilizing effect was likely attributable to the prefreezing effect or the sorption interaction between talc and the M-PP chains.

关键词： Metallocene-made isotactic polypropylene Talc Melt memory effect Crystal orientation

A nano-structured TiO_(2)/CuO/Cu_(2)O coating on Ti-Cu alloy with dual function of antibacterial ability and osteogenic activity

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Journal of Materials Science & Technology 2022年第2期97卷 201-212页

作者： Yuan Zhang shan fu Lei Yang Gaowu Qin Erlin Zhang Key Laboratory for Anisotropy and Texture of Materials(MoE) School of Materials Science and EngineeringNortheastern UniversityShenyang 110819China Research Center for Metallic Wires Northeastern UniversityShenyang 110819China

Bacteria-associated infection and poor osseointegration are two main reasons for orthopedic implant ***-Cu alloy exhibited excellent antibacterial property,but still presented unsatisfied osteogenic ***,Ti-Cu alloy was surface modified by an alkali-heat treatment in this paper to improve the osteogenic ability without reduction in antibacterial ability.A TiO_(2)/CuO/Cu_(2)O composite coating with nanostructure was deposited on Ti-Cu *** coating showed increased roughness and great *** tests indicated that the modified Ti-Cu alloy exhibited stronger antibacterial ability against Staphylococcus aureus(***)than Ti-Cu ***,cell experiments demonstrated that the composite coating promoted initial adhesion and spreading of MC3T3-E1 cells,enhanced alkaline phosphatase(ALP)activities as well as extracellular matrix(ECM)mineralization,and significantly upregulated osteogenesis-related gene *** was suggested that the nano-structured TiO_(2)/CuO/Cu_(2)O coating on Ti-Cu alloy might provide a potential strategy for orthopedic implant failure.

关键词： Ti-Cu alloy Alkali-heat treatment Antibacterial property Osteogenic activity

Wave-induced stress and estimation of its driven effect on currents

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Science China Earth Sciences 2004年第12期47卷 1147-1154页

作者： SUN fu GAO shan WANG Wei QIAN Chengchun Physical Oceanography Laboratory Ocean University of China Qingdao 266003 China Physical Oceanography Laboratory Ocean University of China Qingdao 266003 China Physical Oceanography Laboratory Ocean University of China Qingdao 266003 China Physical Oceanography Laboratory Ocean University of China Qingdao 266003 China

A genuine geostrophic small amplitude wave solution is deduced for the first time from the general form of linear fluid dynamic equations with the f-plane approximation, where the horizontal component of angular velocity of the earth rotation is taken into account. The Coriolis- induced stress obtained from this solution consists of lateral and reverse component, while its first order approximation is reduced to the result of Hasselmann or Xu Zhigang. Accordingly, combining the Coriolis-induced wave stress with the virtual wave stress proposed by Longuet-Higgins, the ratio of total wave-induced stress to wind stress on the sea surface is es- timated, through which the importance of the wave-induced stress is emphasized in the study of the currents in the seas around China, especially in the Bohai Sea and the Yellow Sea.

关键词： waves, geostrophy, stress, currents.