On Variation Models of the Irreversible Processes in Mechanics of Solids and Generalized Hydrodynamics
- 作者: Belov P.1, Lurie S.1
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隶属关系:
- Institute of Applied Mechanics of Russian Academy of Sciences
- 期: 卷 40, 编号 7 (2019)
- 页面: 896-910
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204995
- DOI: https://doi.org/10.1134/S1995080219070060
- ID: 204995
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详细
It is proposed a procedure for constructing a non-integrable variational form, allowing to extend the procedure of formal construction of variational models of mechanics of deformable media to irreversible deformation processes. We introduce the non-integrable variational forms that determine possible dissipation channels depending on the list of generalized variables for a particular model of media. The problems of filtering of Biot models are considered and it is proved that non-integrable variational forms allow us to construct variational hydrodynamic models of Darcy, Navier-Stokes and Navier-Stokes-Darcy. It is shown that the equations of the Navier—Stokes—Darcy model contain the Helmholtz operator, which will allow to take into account the scale effects associated with the boundary layers.
作者简介
P. Belov
Institute of Applied Mechanics of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: belovpa@yandex.ru
俄罗斯联邦, Moscow, 125040
S. Lurie
Institute of Applied Mechanics of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: salurie@mail.ru
俄罗斯联邦, Moscow, 125040