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.
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.