国家自然科学基金(11072125)

作品数：9被引量：11H指数：4
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相关作者：殷雅俊吴继业更多>>
相关机构：清华大学南京工业大学更多>>
相关期刊：《Acta Mechanica Solida Sinica》《力学与实践》《Applied Mathematics and Mechanics(English Edition)》《Acta Mechanica Sinica》更多>>
相关主题：CLASSICALFORMEXTENSIONAXIOMCOVARIANT更多>>
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Extension of covariant derivative(Ⅰ): From component form to objective form被引量：4
《Acta Mechanica Sinica》2015年第1期79-87,共9页Ya-Jun Yin 
supported by the NSFC(11072125 and 11272175);the NSF of Jiangsu Province(SBK201140044);the Specialized Research Fund for Doctoral Program of Higher Education(20130002110044)
This paper extends the covariant derivative un der curved coordinate systems in 3D Euclid space. Based on the axiom of the covariant form invariability, the classical covariant derivative that can only act on componen...
关键词：Tensor analysis Classical covariant derivatives Generalized covariant derivatives The axiom of the covari-ant form invariability Covariant differential ring 
Extension of covariant derivative(Ⅱ): From flat space to curved space被引量：4
《Acta Mechanica Sinica》2015年第1期88-95,共8页Ya-Jun Yin 
supported by the NSFC(11072125 and 11272175);the NSF of Jiangsu Province(SBK201140044);the Specialized Research Fund for Doctoral Program of Higher Education(20130002110044)
This paper extends the classical covariant deriva tive to the generalized covariant derivative on curved sur faces. The basement for the extension is similar to the pre vious paper, i.e., the axiom of the covariant fo...
关键词：Tensor analysis on curved surfaces Classicalcovariant derivative and generalized covariant derivative Axiom of the covariant form invariability Covariant differ-ential transformation group Differential invariabilities andintegral invariabilities 
Extension of covariant derivative(Ⅲ): From classical gradient to shape gradient被引量：4
《Acta Mechanica Sinica》2015年第1期96-103,共8页Ya-Jun Yin 
supported by the NSFC(11072125 and 11272175);the NSF of Jiangsu Province(SBK201140044);the Specialized Research Fund for Doctoral Program of Higher Education(20130002110044)
This paper further extends the generalized covari ant derivative from the first covariant derivative to the sec ond one on curved surfaces. Through the linear transforma tion between the first generalized covariant de...
关键词：Tensor analysis on curved surfaces The sec-ond generalized covariant derivative The second covariantdifferential transformation group The second class of dif-ferential and integral invariants 
Fractal growth kinematics abstracted from snowflakes:topological evolution
《Applied Mathematics and Mechanics(English Edition)》2015年第2期243-264,共22页Fan YANG Ya jun YIN Bin HE Qinshan FAN 
Project supported by the National Natural Science Foundation of China(Nos.10872114,11072125,and 11272175);the National Natural Science Foundation of Jiangsu Province(No.SBK201140044);the Fundation of Tutor for Doctor Degree of Higher Education of China(No.20130002110044)
Based on the kinematic viewpoint, the concept of proportional movement is abstracted to explain the strange behaviors of fractal snowflakes. A transformation group for proportional movement is defined. Under the propo...
关键词：fractal snowflake proportional movement SELF-SIMILARITY N-segment line topological evolution and topological invariant 
NONLINEAR VIBRATION OF THE COUPLED STRUCTURE OF SUSPENDED-CABLE-STAYED BEAM-1:2 INTERNAL RESONANCE被引量：6
《Acta Mechanica Solida Sinica》2014年第5期467-476,共10页Kun Huang Qi Feng Yajun Yin 
supported by the National Natural Science Foundation of China(Nos.10672121 and 11072125)
Through the Galerkin method the nonlinear ordinary differential equations （ODEs） in time are obtained from the nonlinear partial differential equations （PDEs） to describe the mo- tion of the coupled structure of a...
关键词：the coupled structure of suspended-cable-stayed beam the multiscale method 1：2internal resonance Hopf bifurcation CHAOS 
微纳米空间弯曲诱导的反常驱动力--从泡利的魔鬼谈起被引量：1
《力学与实践》2014年第2期137-146,共10页殷雅俊 吴继业 
国家自然科学基金(11072125,11272175);江苏省自然科学基金;博士生导师基金资助项目
介绍了高度卷曲的微纳米物质空间诱发的反常驱动力,指出构成反常驱动力的基本要素有两个:一个是空间的弯曲程度,即曲率,另一个是空间弯曲的不均匀程度,即曲率的梯度.
关键词：微纳米尺度 弯曲空间 曲率和曲率梯度 反常驱动力 
Controlling the surface buckling wrinkles by patterning the material system of hard-nano-film/soft-matter-substrate
《Science China(Physics,Mechanics & Astronomy)》2014年第4期637-643,共7页WU Dan YIN YaJun XIE HuiMin SHANG YuanFang LI ChuanWei WU LiFu DAI XiangLu 
supported by the National Basic Research Program of China(Grant Nos.2010CB631005 and 2011CB606105);the National Natural Science Foundation of China(Grant Nos.11232008,91216301,11072125 and 11272175);Tsinghua University Initiative Scientific Research Program
Wrinkling and buckling of nano-films on the compliant substrate are always induced due to thermal deformation mismatch.This paper proposes effective means to control the surface wrinkling of thin film on the compliant...
关键词：mismatch of thermal deformation wrinkling and buckling inductive effect shielding effect 
Shape gradient and classical gradient of curvatures:driving forces on micro/nano curved surfaces
《Applied Mathematics and Mechanics(English Edition)》2011年第5期533-550,共18页殷雅俊 陈超 吕存景 郑泉水 
supported by the National Natural Science Foundation of China(Nos.10872114,10672089, 10832005,and 11072125)
Recent experiments and molecule dynamics simulations have shown that adhesion droplets on conical surfaces may move spontaneously and directionally. Besides, this spontaneous and directional motion is independent of t...
关键词：micro/nano curved surface curvature shape gradient classical gradient driving force 
Steiner minimal trees——the final destinations for lipid nanotube networks with three-way junctions
《Science China(Physics,Mechanics & Astronomy)》2011年第4期586-592,共7页YIN YaJun WU JiYe YIN Jie FAN QinShan 
supported by the National Natural Science Foundation of China(Grant Nos. 10872114,11072125);the Natural Science Foundation of Jiangsu Province(Grant No. BK2008370)
Through the combination of the minimum energy principle in physics and the Steiner minimal tree (SMT) theory in geometry,this paper proves a universal law for lipid nanotube networks (LNNs):at stable equilibrium state...
关键词：Steiner minimal trees lipid nanotubes NETWORKS three-way junctions stable equilibrium 
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