Version of the linear elasticity theory with a structural parameter
- 作者: Revuzhenko A.1
-
隶属关系:
- Chinakal Institute of Mining, Siberian Branch
- 期: 卷 57, 编号 5 (2016)
- 页面: 801-807
- 栏目: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/159656
- DOI: https://doi.org/10.1134/S0021894416050060
- ID: 159656
如何引用文章
详细
It is shown that, in the planar case, the system of constitutive equations of the linear elasticity theory should contain five independent equations. In the classical theory, only three equations are formulated, while the other two are contained in implicit form in the postulate of diffeomorphism, which is the assumption of smoothness of the displacement field. A closed elasticity model is constructed without the assumption of diffeomorphism, and it contains a structural parameter having a dimension of length. It is shown that, in a static version, macrodeformations depend on stresses and second derivatives of stresses with respect to the coordinates, while there is dispersion of longitudinal and transverse waves in the dynamics.
作者简介
A. Revuzhenko
Chinakal Institute of Mining, Siberian Branch
编辑信件的主要联系方式.
Email: revuzhenko@yandex.ru
俄罗斯联邦, Novosibirsk, 630091