Is incompressible elasticity a conformal field theory

Is incompressible elasticity a conformal field theory
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不可压缩弹性是共形场论吗

DOI:
10.1016/j.crme.2007.11.006
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发表时间:
2008
影响因子:
0.8
通讯作者:
C. Anastassiadis
C. Anastassiadis
中科院分区:
工程技术4区
文献类型:
--
作者:
M. Lazar;C. Anastassiadis

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在这项工作中,我们研究了线性各向同性不可压缩弹性理论作为共形场理论。我们计算了共形电流、守恒定律和不可压缩弹性的平衡律。我们研究欧拉-拉格朗日对称性、变分对称性和散度对称性。如果压力p=0,则共形群是无外力时均匀各向同性线性不可压缩弹性的对称群。额外的对称性是特殊的保角变换。我们还讨论了弹性中特殊保角变换的对称破缺项。引用本文:M. Lazar、C. Anastassiadis、C. R. Mecanique ••• (••••)。
In this work, we investigate the theory of linear isotropic incompressible elasticity as a conformal field theory. We calculate the conformal currents, the conservation laws and the balance laws of incompressible elasticity. We investigate the Euler–Lagrange symmetries, variational and divergence symmetries. If the pressure p=0, the conformal group is the symmetry group for homogeneous isotropic linear incompressible elasticity without external forces. The additional symmetry is the special conformal transformation. We also discuss the symmetry breaking terms of special conformal transformations in elasticity. To cite this article: M. Lazar, C. Anastassiadis, C. R. Mecanique ••• (••••).
DOI: --
发表时间: 2021
期刊:
影响因子: --
作者:
樋口拓真;市川周一;Liu Yan
通讯作者: Liu Yan
平面弹性的对偶守恒定律
DOI: 10.1016/j.ijengsci.2004.01.002
发表时间: 2004
影响因子: 6.6
作者:
Shaofan Li
通讯作者: Shaofan Li