Modeling Deformation Wave in Rock Mass near Deep-Level Tunne
QI CHENGZHI1, CHEN HAOXIANG2, CHANYSHEV ANVAR3,4, QI JILIN1, WU WEI5
1Beijing University of Civil Engineering and Architecture, Beijing, 100044 China
2Defense Engineering Institute, Nanjing, 210007 P R China
3Novosibirsk State University of Economics and Management, ul. Kamenskaya 56, Novosibirsk 630099 Russia
4Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Krasnyi pr. 54, Novosibirsk, 630091 Russia
5University of Natural Resources and Life Sciences, Vienna, Austria
Keywords: деформационная волна, непрерывный фазовый переход, потенциальная энергия Гинзбурга - Ландау, вариационный принцип Гамильтона, deformation wave, continuous phase transition, the Ginzburg-Landau potential energy, Hamiltonian variational principle
Abstract
In this paper deformation wave is studied on the basis of continuous phase transition theory. Relative shear strain is taken as an order parameter. The potential energy is obtained by analogy with the Ginzburg-Landau expansion of free energy. Hamilton’s variational principle is used to obtain the motion equation by which several types of deformation waves can be modeled. The results show that the proposed model is effective in modeling deformation waves.
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