Some formulations of boundary-value problems of L-plasticity

Symmetry in rock disintegration phenomena

“…Generally speaking this condition is suitable, but the property of strain localization during plastic behavior of rocks has not received attention. Only in recent studies by Revuzhenko, Stazhevskli, and Shemyakin has this fact become a central starting point for L-plasticity models developed by them [2]. They have demonstrated visually in experiments with discharge of loose materials in a converging plane and an axlsymmetric channel [3][4][5] that the limiting condition during flow of loose material (the same as with uniform shear [6]) is not realized at each point of the loose mass, and it is localized at discrete sllp surfaces.…”

“…Therefore, the (o-~) diagram for specimen loading in a rigid press is not Invarlant. A diagram on the coordinates tangential stress-displacement with a fixed value of normal pressure over the displacement area is more suitable [2] in this connection.…”

Dynamic deformation of bodies with a line of discontinuity of displacement

“…There are no fundamental differences from [7]; therefore, this case is briefly outlined, retaining the notation of [7]. Consider the case of nonsteady deformation.…”

“…To solve the class of problems formulated in [7], the method of direct minimization of the functional W was used in [II]. Consider a series of model problems.…”

Rock spalling

“…The problem of initiation and development of a fracture crack has been formulated in the variational mode [7,8]. The trajectory of the crack was regarded as known from the experimental data (semiconverse formulation).…”