Calculation of a Radial Inhomogeneous Rock Mass with a Spherical Cavity under the Influence of Thermal Field
- 10.2991/iceesd-18.2018.87How to use a DOI?
- radial inhomogeneity, thermal field, rock mass, spherical cavity, numerical analytic solution.
The problem considered is that of calculating the stress-strain behavior of a rock mass in the vicinity of a spherical cavity, taking into account the radial inhomogeneity of the rock mass material. The solution takes into account the technological inhomogeneity of the soil and the inhomogeneity caused by the influence of the thermal field. The axially symmetric problem of determining the stresses and displacements was solved with a joint action of an asymmetric load (ground reaction) and hyper-thermal fields on the rock mass. Similar problems tend to arise during the creation of underground cavities and their exploitation for storing various self-heating products. To solve the initial simultaneous equations in displacements, the Fourier series of Legendre polynomials were used. Then by the separation of variables the problem was reduced to 2 ordinary differential simultaneous equations with variable coefficients, which can be solved numerically.
- © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Irina I. Frolova PY - 2018/05 DA - 2018/05 TI - Calculation of a Radial Inhomogeneous Rock Mass with a Spherical Cavity under the Influence of Thermal Field BT - Proceedings of the 2018 7th International Conference on Energy, Environment and Sustainable Development (ICEESD 2018) PB - Atlantis Press SP - 482 EP - 486 SN - 2352-5401 UR - https://doi.org/10.2991/iceesd-18.2018.87 DO - 10.2991/iceesd-18.2018.87 ID - Frolova2018/05 ER -