ABSTRACT
The solution of governing equations of coupled or uncoupled motion, mass transportation and energy transport phenomena requires certain methods, which may be analytical and numerical. When the resulting equations, including initial and/or boundary conditions, are simple to solve, the analytical methods are preferred. This chapter describes elasto-plastic responses of cylindrical and spherical openings were obtained by using the analytical solution. The analytical methods basically attempt to solve the equations in their original form, and they can be categorized as intuitive or separation of variable techniques. Depending on the state of rock before the installation of supports, there may be several combinations. If the time-dependent characteristics of the uniaxial compressive strength of rocks is known, it may be possible to determine the time-dependent variation of various mechanical properties of rocks from the relationships obtained by O. Aydan et al. Aydan proposed a method to model the dynamic response of rock samples during loading.
