国家自然科学基金(s11072125)

作品数：5被引量：8H指数：3
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Generalized covariant differentiation and axiom-based tensor analysis被引量：3
《Applied Mathematics and Mechanics(English Edition)》2016年第3期379-394,共16页Yajun YIN 
supported by the National Natural Science Foundation of China(Nos.11072125 and11272175);the Natural Science Foundation of Jiangsu Province(No.SBK201140044);the Specialized Research Fund for Doctoral Program of Higher Education(No.20130002110044)
This paper reports the new progresses in the axiomatization of tensor anal- ysis, including the thought of axiomatization, the concept of generalized components, the axiom of covariant form invariability, the axiomati...
关键词：tensor analysis axiom of covariant form invariability generalized compo-nent generalized covariant differentiation covariant differential transformation group 
Relations between cubic equation, stress tensor decomposition, and von Mises yield criterion
《Applied Mathematics and Mechanics(English Edition)》2015年第10期1359-1370,共12页Haoyuan GUO Liyuan ZHANG Yajun YIN Yongxin GAO 
supported by the National Natural Science Foundation of China(Nos.11072125 and11272175);the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20130002110044);the China Postdoctoral Science Foundation(No.2015M570035)
Inspired by Cardano＇s method for solving cubic scalar equations, the addi- tive decomposition of spherical/deviatoric tensor （DSDT） is revisited from a new view- point. This decomposition simplifies the cubic tenso...
关键词：Cardano＇s method Caylay-Hamilton theorem cubic tensor equation decomposition of spherical/deviatoric tensor （DSDT） von Mises yield criterion 
CURVATURE-BASED INTERACTION POTENTIAL BETWEEN MICRO/NANO PLANAR CURVE AND PARTICLE LOCATED OUTSIDE THE CURVE
《Acta Mechanica Solida Sinica》2015年第4期331-346,共16页Xugui Wang Yajun Yin Jiye Wu Kun Huang Dan Wang Qinshan Fan 
supported by the National Natural Science Foundation of China(Nos.11072125 and 11272175);the NSF of Jiangsu Province(Nos.BK2011075 and BK20130910);the research found for doctor student education
Based on the negative exponential pair-potential （I/R）n, the interaction potential between the micro/nano planar curve and the particle located outside the curve is studied. We verified that, whatever the value of e...
关键词：micro/nano planar curve curvature-based potential driving force curvature andthe gradient of curvature 
Interaction potential between micro/nano curved surface and a particle located inside the surface (I):driving forces induced by curvatures被引量：5
《Science China(Physics,Mechanics & Astronomy)》2012年第6期1066-1076,共11页WU JiYe YIN YaJun WANG XuGui FAN QinShan 
supported by the National Natural Sciences Foundation of China (Grant Nos.11072125 and 10872114);the Natural Science Foundation of Jiangsu province (Grant No. SBK201140044)
This paper focuses on the interaction between a micro/nano curved surface and a particle located inside the surface (hereafter abbreviated as in-surface-particle).Based on the exponential pair potential (namely 1/R2k)...
关键词：micro/nano curved surface curvature-based potentials curvatures and the gradients of curvatures driving force 
Interaction potential between micro/nano curved surface and a particle located inside the surface (II):Numerical experiment and equipotential surfaces被引量：4
《Science China(Physics,Mechanics & Astronomy)》2012年第6期1077-1082,共6页WU JiYe YIN YaJun HUANG Kun FAN QinShan 
supported by the National Natural Science Foundation of China (Grant Nos. 11072125 and 10872114);the Natural Science Foundation of Jiangsu Province (Grant No. SBK201140044)
We verify the accuracy of the curvature-based potential.By means of the idealized numerical experiment,we show that the curvature-based potential is in good agreement with the numerical experiment,and the errors are w...
关键词：micro/nano curved surface curvature-based potential idealized numerical experiment equipotential surfaces 
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