Classical solids dynamics as 4D statics of elastic strings

被引：0
|
作者：
Kokarev, SS [1 ]
机构：
[1] Yaroslavl State Pedagog Univ, Dept Theoret Phys, Yaroslavl 150000, Russia
来源：
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 2001年 / 116卷 / 08期
关键词：
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The variational principle for a solid in classical mechanics is formulated in terms of a thin elastic 4D bar strain in the events space M-4 of special relativity. It is shown that the sum of elastic 4-energies of weak twist and bending under some identifications takes the form of classical non-relativistic action for a solids dynamics. The necessary conditions on 4D bar parameters and elastic constants, providing validity of Newton mechanics, are found.
引用
收藏
页码：915 / 935
页数：21
相关论文
共 50 条
  • [21] Framed Wilson operators, fermionic strings, and gravitational anomaly in 4d
    Ryan Thorngren
    [J]. Journal of High Energy Physics, 2015
  • [22] Experimental Validation of a 4D Elastic Registration Algorithm
    Leung, Corina
    Hashtrudi-Zaad, Keyvan
    Foroughi, Pezhman
    Abolmaesumi, Purang
    [J]. 2008 30TH ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY, VOLS 1-8, 2008, : 3961 - +
  • [23] Calculation of elastic constants of 4d transition metals
    Louail, L
    Maouche, D
    Roumili, A
    Sahraoui, FA
    [J]. MATERIALS LETTERS, 2004, 58 (24) : 2975 - 2978
  • [24] 4D, or not 4D: that is the question
    Campbell, S
    [J]. ULTRASOUND IN OBSTETRICS & GYNECOLOGY, 2002, 19 (01) : 1 - 4
  • [25] On the dynamics of a 4d local Cournot model
    Garcia Guirao, Juan Luis
    Lampart, Marek
    Zhang, Guo Hua
    [J]. APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (03): : 857 - 865
  • [26] Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings
    Gustafson, S.
    Sigal, I. M.
    Tzaneteas, T.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (01)
  • [27] Classical and unilateral contact analysis in statics and dynamics.
    Stavroulakis, GE
    Antes, H
    [J]. BOUNDARY ELEMENT ADVANCES IN SOLID MECHANICS, 2003, (440): : 205 - 244
  • [28] On classical solutions of 4d supersymmetric higher spin theory
    Jun Bourdier
    Nadav Drukker
    [J]. Journal of High Energy Physics, 2015
  • [29] On classical solutions of 4d supersymmetric higher spin theory
    Bourdier, Jun
    Drukker, Nadav
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2015, (04):
  • [30] Clouds of strings in 4D Einstein-Gauss-Bonnet black holes
    Singh, Dharm Veer
    Ghosh, Sushant G.
    Maharaj, Sunil D.
    [J]. PHYSICS OF THE DARK UNIVERSE, 2020, 30
12345