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| 1 | Hierarchical Dragonfly Wing: Microstructure-Biomechanical Behavior Relations显示文摘 | Yinglong Chen Xishu Wang Huaihui Ren Hang Yin Su Jia | 2012 | Journal of Bionic Engineering2012，9，2： | 13 |
| 2 | The Schwarz-Pick lemma for planar harmonic mappings显示文摘The classical Schwarz-Pick lemma for holomorphic mappings is generalized to planar harmonic mappings of the unit disk D completely. (I) For any 0 < r < 1 and 0 ρ < 1, the author constructs a closed convex domain Er,ρ such that F((z,r)) eiαEr,ρ = {eiαz : z ∈ Er,ρ} holds for every z ∈ D, w = ρeiα and harmonic mapping F with F(D)D and F(z) = w, where △(z,r) is the pseudo-disk of center z and pseudo-radius r; conversely, for every z ∈ D, w = ρeiα and w ∈ eiαEr,ρ, there exists a harmonic mapping F such that F(D) D, F(z) = w and F(z ) = w for some z ∈ △(z,r). (II) The author establishes a Finsler metric Hz(u) on the unit disk D such that HF(z)(eiθFz(z) + e-iθFz(z)) ≤1 /(1- |z|2)holds for any z ∈ D, 0 θ 2π and harmonic mapping F with F(D)D; furthermore, this result is precise and the equality may be attained for any values of z, θ, F(z) and arg(eiθFz(z) + e-iθFz(z)). | CHEN HuaiHui | 2011 | Science China Mathematics2011，54，6： | 9 |
| 3 | An organic junction between the vein and membrane of the dragonfly wing显示文摘A dragonfly wing consists of membranes and both longitudinal and cross veins.We observed the microstructure cross-section at several locations in the dragonfly wing using environmental scanning electron microscopy(ESEM).The organic nature of the junction between the vein and the membrane was clearly identifiable.The membrane was divided into two layers,the upper epidermis and the lower epidermis.These layers extend around the sandwich structure vein,and combine with the adjacent membrane at a symmetrical location along the vein.Thus,we defined this as an organic junction between the vein and the membranes. The organic junction is able to form a tight corrugation angle,which dramatically increases both the warping rigidity and the strength of the wing,but not the torsional rigidity.The torsional deformation is primarily controlled by the microstructure of the longitudinal veins,and is based on the relative rotation angle between the epidermal layer and the inner layer of the vein that forms the zigzag section. | CHEN YingLong WANG XiShu REN HuaiHui LI XuDong | 2011 | Chinese Science Bulletin2011，56，16： | 9 |
| 4 | Effects of Dragonfly Wing Structure on the Dynamic Performances显示文摘 | Huaihui Ren Xishu Wang Xudong Li Yinglong Chen | 2013 | Journal of Bionic Engineering2013，10，1： | 6 |
| 5 | The Schwarz-Pick lemma and Julia lemma for real planar harmonic mappings显示文摘The classical Schwarz-Pick lemma and Julia lemma for holomorphic mappings on the unit diskD are generalized to real harmonic mappings of the unit disk,and the results are precise.It is proved that for a harmonic mapping U of D into the open interval I=(1,1),ΛU(z)/cosU(z)π/2≤4/π1/1|z|2 holds for z∈D,whereΛU(z)is the maximum dilation of U at z.The inequality is sharp for any z∈D and any value of U(z),and the equality occurs for some point in D if and only if U(z)=4πRe{arctan(z)},z∈D,with a Mbius transformation of D onto itself. | CHEN HuaiHui | 2013 | Science China Mathematics2013，56，11： | 4 |
| 6 | Role of Soft Matter in the Sandwich Vein of Dragonfly Wing in Its Configuration and Aerodynamic Behaviors显示文摘 | Xishu Wang Zhihao Zhang Huaihui Ren Yinglong Chen Bisheng Wu | 2017 | Journal of Bionic Engineering2017，14，3： | 2 |
| 7 | Characterizations of α-Bloch functions on the unit ball without use of derivative显示文摘In this paper we establish characterizations of α-Bloch functions on the unit ball without use of derivative, which are stronger, more precise and general than those obtained by Nowak and Zhao. | CHEN HuaiHui School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China | 2008 | Science China Mathematics2008，51，11： | 2 |
| 8 | Some new results on planar harmonic mappings显示文摘This survey paper contains some new results on the Landau theorem, Bloch theorem and Schwarz-Pick lemma for planar harmonic mappings. | CHEN HuaiHui Department of Mathematics, Nanjing Normal University, Nanjing 210097, China | 2010 | Science China Mathematics2010，53，3： | 2 |
| 9 | Two-dimentional material microstructure and numerical simulation soft-ware system显示文摘 | Ren Huaihui Li Xudong | 2009 | Journal of Computer Aided Design and Graphics2009，21，6： | 1 |
| 10 | The landau theorem and bloch theorem for planar harmonic and pluriharmonic mappings显示文摘 | CHEN Huaihui GAUTHIER P M | 2011 | Proceeding of the American Mathematical Society2011，139，2： | 1 |
| 11 | On invariant function spaces H_(Q_p)~q(R)显示文摘New function spaces,which generalize the classical Dirichlet space,BMOA or also the recently defined Qpspace,are introduced on Riemann surfaces.Except inclusions between these generalized spaces it is shown that the capacity Bloch space is a maximal space for them. | CHEN HuaiHui AULASKARI Rauno | 2013 | Science China Mathematics2013，56，10： | 1 |
| 12 | On Bloch's constant显示文摘 | Huaihui CHEN P.M.GAUTHIER | | 0，，： | 1 |
| 13 | On value distribution of f nf显示文摘 | CHEN Huaihui FANG Mingliang | 1995 | Science in China(series A)1995，38，7： | 1 |
| 14 | On Bloch’s constant显示文摘 | Huaihui Chen Paul M. Gauthier | 1996 | Journal d’Analyse Mathématique1996，，1： | 1 |
| 15 | Effect of prior corrosion state on the fatigue small cracking behaviour of 6151-T6 aluminum alloy显示文摘 | Li Xudong Wang Xishu Ren Huaihui | | 0，，： | 1 |
| 16 | The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings显示文摘 | Huaihui Chen Paul M. Gauthier | 2010 | Proceedings of the American Mathematical Society2010，，2： | 1 |
| 17 | On the value distribution of 显示文摘 | CHEN Huaihui FANG Mingliang | 1995 | Sci China Ser A1995，38，： | 1 |
| 18 | Risk Early Warning Model of Un- expected Group Events Based on AHP 显示文摘 | Liu Huaihui Zhang Zhiqing | 2013 | Applied Mechanics and Materials2013，339，1： | 1 |
| 19 | Effectof Prior Corrosion State on the Fatigue Small CrackingBehaviour of 6151T6 Aluminum Alloy显示文摘 | LI Xudong WANG Xishu REN Huaihui | 2012 | Corros Sci2012，55，2： | 1 |
| 20 | SEMInsitu Study on High Cyclic Fatigue of SnPbsolder Jointin the Electronic Packaging显示文摘 | WANG Xishu LI Xudong REN Huaihui | 2011 | Microelectronics Reliability2011，51，： | 1 |
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