The eigentensors of an arbitrary second-order tensor and their quality analyses

被引：0
|
作者：
Yong-nian Huang
机构：
[1] Peking University,State Key Laboratory of Turbulence Research, Department of Mechanics and Engineering Science
来源：
Applied Mathematics and Mechanics | 2001年 / 22卷 / 7期
关键词：
eigenvalues; eigentensors; dyads; O151.21;
D O I：
10.1007/BF02438220
中图分类号：
学科分类号：
摘要：
A notation of the eigentensors of an arbitrary second-order tensor had been introduced by Huang Yong-nian (1992). By using this notation an explicit solution of homogeneous linear ordinary differential equations with constant coefficients had been given. Recently, it is found that these eigentensors are dyads. By using these dyads the tensor calculations can be simplified greatly.
引用
收藏
页码：776 / 780
页数：4
相关论文
共 50 条
  • [21] Second-order post-Minkowskian scattering in arbitrary dimensions
    Cristofoli, Andrea
    Damgaard, Poul H.
    Di Vecchia, Paolo
    Heissenberg, Carlo
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (07)
  • [22] Second-order generalised beam theory for arbitrary orthotropic materials
    Silvestre, N
    Camotim, D
    THIN-WALLED STRUCTURES, 2002, 40 (09) : 791 - 820
  • [23] Second-order post-Minkowskian scattering in arbitrary dimensions
    Andrea Cristofoli
    Poul H. Damgaard
    Paolo Di Vecchia
    Carlo Heissenberg
    Journal of High Energy Physics, 2020
  • [24] Second-order statistics for equal gain combining with arbitrary channels
    Santos, JCS
    Yacoub, MD
    PROCEEDINGS OF THE INTERNATIONAL 2003 SBMO/IEEE MTT-S INTERNATIONAL MICROWAVE AND OPTOELECTRONICS CONFERENCE - IMOC 2003, VOLS I AND II, 2003, : 55 - 60
  • [25] Scaling the topology of symmetric, second-order planar tensor fields
    Tricoche, X
    Scheuermann, G
    Hagen, H
    HIERARCHICAL AND GEOMETRICAL METHODS IN SCIENTIFIC VISUALIZATION, 2003, : 171 - 184
  • [26] On the differential simulation of the second-order bilinear system: a tensor approach
    Daneev, Aleksey
    Lakeyev, Anatoliy
    Rusanov, Vyacheslav
    2ND INTERNATIONAL CONFERENCE ON MATHEMATICS AND COMPUTERS IN SCIENCE AND ENGINEERING (MACISE 2020), 2020, : 318 - 321
  • [27] Magnetic octupole tensor decomposition and second-order magnetoelectric effect
    Urru, Andrea
    Spaldin, Nicola A.
    ANNALS OF PHYSICS, 2022, 447
  • [28] On the existence of the electromagnetic energy tensor in second-order Lovelock gravities
    Martinez-Bohorquez, R.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21 (02)
  • [29] Second-order energy-momentum tensor of a scalar field
    Cho, Inyong
    Gong, Jinn-Ouk
    Oh, Seung Hun
    PHYSICAL REVIEW D, 2022, 106 (08)
  • [30] Second-order charge currents and stress tensor in a chiral system
    Yang, Shi-Zheng
    Gao, Jian-Hua
    Liang, Zuo-Tang
    Wang, Qun
    PHYSICAL REVIEW D, 2020, 102 (11)
12345