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Effect of Material Property of Interply Film on the Delamination in Laminated Composites

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Communications in Nonlinear Science and Numerical Simulation 1999年第1期4卷 39-42页

作者： Wei FENG and Qian HUANG (shanghai institute of Applied mathematics and Mechanics, shanghai university, shanghai 200072, china) shanghai institute of Applied mathematics and Mechanics Shanghai University Shanghai 200072 China

The delamination is one of the main failure modes in laminated composites. In order to suppress and/or delay it, considerable research has been devoted to the reduction of the interlaminar stresses at the interfaces between two different plies. This paper studies the effect of isotropic layers placed at ply interface on the interlaminar behaviour of the angle-ply laminated composites. The results of the experiment and numerical analysis show that the material properties of interply film have strong influence on the interlaminar behaviour of laminated composites. In order to suppress delamination, the material of interply film has to been selected carefully due to the fact that different matrials have different results. Some materials may increase the stress values at the interfaces. Some materials may reduce the stress concertration.

关键词： laminated composite interply film stress concentration

The truncated Second Main Theorem and uniqueness theorems

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Science china mathematics 2010年第3期53卷 605-616页

作者： CHEN ZhiHua 1 , RU Min 2, & YAN QiMing 1 1 Department of mathematics, tongji university, shanghai 200092, china 2 Department of mathematics, university of Houston, Houston, TX 77204, USA 1. Department of mathematics Tongji University Shanghai 200092 China2. Department of Mathematics University of Houston Houston TX 77204 USA

In this paper, we first establish a truncated Second Main Theorem for algebraically nondegenerate holomorphic mappings from the complex plane into a complex projective variety V intersecting hypersurfaces. We then prove some uniqueness results for meromorphic mappings. The result of Demailly about a partial solution to the Fujita’s conjecture is used.

关键词： value distribution theory uniqueness theorem meromorphic mappings Fujita’s conjecture

Macro-micromechanical approaches for non-coaxiality of coarse grained soils

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中国科学：技术科学英文版 2011年第S1期54卷 147-153页

作者： QIAN JianGu 1,2,HUANG MaoSong 1,2 & SUN HaiZhong 1,2 1 Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,tongji university,shanghai 200092,china 2 Department of Geotechnical Engineering,tongji university,shanghai 200092,china 1. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education Tongji University Shanghai 200092 China2. Department of Geotechnical Engineering Tongji University Shanghai 200092 China

For coarse grained soils,their principal stress directions may change when the water level of embankment dam varies *** this loading case,the principal directions of stress and strain rate will become *** an effort to model non-coaxial behavior,a modified three-dimensional non-coaxial model is developed in the context of vertex yield(tangent plasticity) *** Element Method(PFC) incorporating user-defined interparticle contact models is also employed to gain an insight into microscopic mechanism of *** analysis focuses on non-coaxial behaviors under simple shear *** has been shown that the proposed non-coaxial model gives good predictions for non-coaxiality with reference to microscopic observations while the classical coaxial model fails to simulate the non-coaxial *** general,non-coaxiality as a result of the rotation of principal stress,is large at a small shear strain,and inclined to become negligible with increasing shear *** coarse grained soils,their non-coaxiality tends to largely depend on the initial normal pressure,where a larger degree of non-coaxiality can be observed at a higher pressure.

关键词： coarse grained soils non-coaxiality particle flow code simple shear

NUMERICAL ANALYSIS OF THE 3-D FLOW FIELD OF PRESSURE ATOMIZERS WITH V-SHAPED CUT AT ORIFICE

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Journal of Hydrodynamics 2011年第2期23卷 187-192页

作者： ZHOU Hua School of Aerospace Engineering and Applied Mechanics Tongji University Shanghai 200092 China

Axisymmetric liquid jets have been studied extensively for more than one century, while non-axisymmetric jets are also very common in engineering applications but attract less concern. Based on Eulerian fluid-fluid model in Fluent software, this article analysizes the 3-D flow fields of pressure atomizers with V-shaped cut at orifice, which will result in a non-axisymmetric liquid jet. Flow rate analysis and jet structure analysis are carried out, the results show that the flow rate can be formulated by adding a correction coefficient to the formula of inviscid axisymmetric jets in atomization regime, when the Weber number is low enough to make the flow fall out of atomization regime, and the jet structure together with the flow rate formula will change. Analysis shows that the evolution of the spray and therefore the structure of the liquid jet are affected much by relative velocity and the local volume fraction of liquid phase.

关键词： flow rate fraction distribution gas-liquid interference non-axisymmetric liquid jet pressure atomizer

ON TAYLOR'S CONJECTURE ABOUT THE PACKING MEASURES OF CARTESIAN PRODUCT SETS

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Chinese Annals of mathematics,Series B 1996年第1期17卷 121-126页

作者： XU YOU REN FUYAO(institute of mathematics, Fudan university, shanghai 200433, china.) FUDAN UNIV INST MATHSHANGHAI 200433PEOPLES R CHINA

It is proved that if E R, F Rn, then P(E x F,12) ≤c. P(E, 1)P(E, 2), where P(, ) denotes the -packing measure, belongs to a class of Hausdorff functions, the positive constat c deponds only on 1,2 and n.

关键词： Packing measure Hausdorff measure Cartesian product set

A MODIFIED LEVENBERG-MARQUARDT ALGORITHM FOR SINGULAR SYSTEM OF NONLINEAR EQUATIONS

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Journal of Computational mathematics 2003年第5期21卷 625-636页

作者： Jin-yan Fan (Department of mathematics, shanghai Jiaotong university, shanghai 200240, china) Department of mathematics Shanghai Jiaotong University 上海 200240

Based on the work of paper [1], we propose a modified Levenberg-Marquardt algoithm for solving singular system of nonlinear equations F(x) = 0, where F(x) : Rn - Rn is continuously differentiable and F'(x) is Lipschitz continuous. The algorithm is equivalent to a trust region algorithm in some sense, and the global convergence result is given. The sequence generated by the algorithm converges to the solution quadratically, if ||F(x)||2 provides a local error bound for the system of nonlinear equations. Numerical results show that the algorithm performs well.

关键词： Singular nonlinear equations Levenberg-Marquardt method Trust region al- gorithm Quadratic convergence.

CURVILINEAR PATHS AND TRUST REGION METHODS WITH NONMONOTONIC BACK TRACKING TECHNIQUE FOR UNCONSTRAINED OPTIMIZATION

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Journal of Computational mathematics 2001年第3期19卷 241-258页

作者： De-tong Zhu (Department of mathematics, shanghai Normal university, shanghai 200234, china) 上海师范大学上海 200234

Focuses on a study which examined the modification of type approximate trust region methods via two curvilinear paths for unconstrained optimization. Properties of the curvilinear paths; Description of a method which combines line search technique with an approximate trust region algorithm; Information on the convergence analysis; Details on the numerical experiments.

关键词： curvilinear paths trust region methods nonmonotonic technique unconstrained optimization

Diatomaceous silica filter aid filtration for the effective separation of colloidal Cr（OH）＿3 precipitate from tanning wastewater

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Journal of Environmental Sciences 1995年第2期7卷 151-156页

作者： Zhao Youcai Xi Diming Chen Shaowei(School of Environrnental Engineering , tongji university, shanghai 200092 , china)

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关键词： diatornaceous silica filter acid filtration tanning wastewater colloidal Cr(OH)_3 precipitate.

SIMULATION OF THE OIL SLICK MOVEMENT IN TIDAL WATER-WAYS

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Journal of Hydrodynamics 2010年第1期22卷 96-102页

作者： WUZhao-chun WANG Dao-zeng shanghai institute of Applied mathematics and Mechanics Shanghai University Shanghai 200072 China School of Construction and Safety Engineering Shanghai Institute of Technology Shanghai 200235 China

Based on particle approach and tidal flow model this article studies the behavior of the oil slick on the water surface in the Huangpu River, a tidal waterway in shanghai. In order to track the oil slick motion, a two-dimensional oil trajectory model is used. The dynamical properties of spilled oil characterized by advection, oil spreading and turbulent diffusion are considered in the model. The simulation results consistent with the flume experimental data show that the model is applicable. Both simulation and experiment illustrate that the tidal flow has a great influence on the oil slick motion. The calculated results can be used as a reference for the response to oil spill accidents in rivers.

关键词： particle approach track of oil slick numerical simulation