Development and implementation of analytical (method of crosswise superposition, of homogeneous solutions) and discrete methods of solving linear elasticity rock mechanics problems with gravity loading. Presently, the main objective is their application to the investigation of the behaviour of speleothems (cave sinter formations) under gravitational and inertial loading, with the aim to make conclusions about paleoseismicity and paleotectonics.
Isolines of horizontal displacement in plane
strain boundary value problem with zero displacements
all around the boundary of
the rectangular domain under vertical own weight load,
computed by the method of
crosswise superposition.
Scheme of iterative tesselation of a circular domain - primitive
of a stalagmite crossection suitable
for generation of a swept 3D
mesh of finite elements.
Tubular stalactite with adjacent cave massif split into hexahedral
swept mesh
of finite elements.