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国家自然科学基金(11272175): 作品数：16被引量：12H指数：3; 导出分析报告; 相关作者：殷雅俊吴继业黄坤更多>>; 相关机构：清华大学南京工业大学昆明理工大学更多>>; 相关期刊：《Applied Mathematics and Mechanics(English Edition)》《Science China(Physics,Mechanics & Astronomy)》《物理学报》《Acta Mechanica Solida Sinica》更多>>; 相关主题：COVARIANTGENERALIZEDCLASSICALFORMAXIOM更多>>; 相关领域：理学一般工业技术航空宇航科学技术更多>>

虚物质导数与局部变分——张量变分学的基本概念及其定义被引量：1: 《力学与实践》2020年第6期681-688,共8页殷雅俊; 国家自然科学基金资助项目(11672150,11272175)。; 张量分析学存在对称性破缺现象:既存在概念上的对称性破缺——有张量微分,但没有张量变分;又存在理论上的对称性破缺——有张量微分学,但没有张量变分学。然而,近年来的研究进展表明,破缺的对称性是可以弥补的。本文将综述弥补过程:回...; 关键词：虚物质导数局部变分张量微分学张量变分学

自然基矢量的协变导数与广义协变性思想的演进被引量：2: 《力学与实践》2019年第3期255-264,共10页殷雅俊; 国家自然科学基金(11672150,11272175)资助项目; 博士生在课堂上提出问题:'自然基矢量能否求协变导数?'。本文以此问题为引子,引入公理化思想,定义了广义分量和广义协变导数概念,并以新概念为基础,将经典协变性发展为广义协变性,将经典协变微分学发展为广义协变微分学。论文综述了探...; 关键词：广义分量广义协变导数公理化广义协变微分学

Duality in interaction potentials for curved surface bodies and inside particles: 《Applied Mathematics and Mechanics(English Edition)》2017年第8期1071-1090,共20页Dan WANG Yajun YIN Jiye WU Zheng ZHONG; Project supported by the National Natural Science Foundation of China(Nos.11672150 and11272175);the Natural Science Foundation of Jiangsu Province(No.BK20130910);the specialized Research Found for Doctoral Program of Higher Education(No.2013000211004); Based on the viewpoint of duality, this paper studies the interaction between a curved surface body and an inside particle. By convex/concave bodies with geometric duality, interaction potentials of particles located ...; 关键词：curved duality curvature concave tangential viewpoint convex intersection body radius

Generalized Covariant Derivative with Respect to Time in Flat Space(Ⅰ):Eulerian Description被引量：2: 《Acta Mechanica Solida Sinica》2016年第4期345-358,共14页Yajun Yin; Project supported by the National Natural Sciences Foundation of China(No.11272175);the Specialized Research Found for Doctoral Program of Higher Education(No.20130002110044); This paper reports a new derivative in the Eulerian description in flat space-the generalized covariant derivative with respect to time. The following contents are included:(a) the restricted covariant derivative with...; 关键词：Eulerian description covariant form invariability generalized Eulerian component generalized covariant derivative with respect to time covariant differential transformation group

Generalized Covariant Derivative with Respect to Time in Flat Space(Ⅱ):Lagrangian Description被引量：2: 《Acta Mechanica Solida Sinica》2016年第4期359-370,共12页Yajun Yin; Project supported by the National Natural Sciences Foundation of China(No.11272175);the Specialized Research Found for Doctoral Program of Higher Education(No.20130002110044); The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from ...; 关键词：Lagrangian description the postulate of covariant form invariability generalized Lagrangian component generalized covariant derivative with respect to time covariant differential transformation group

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

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

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

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