Řešení modelových úloh souvisejících se stabilitou svahů

Abstract

This thesis is focused on analysis and solution of static problems based on linear elasticity and simplified elastic-perfect plasticity. Classical and variational settings of these problems are presented and their solvability is discussed. In the case of the plastic model, von Mises and Drucker-Prager yield criteria are considered. Discretization of the problems is based on the higher-order finite element method. A numerical example is focused on the evaluation of the stress state around the slope, which is modeled in 2D under the plane strain assumptions. The computation is performed using linear elasticity and the stress state is evaluated using the Drucker-Prager criterion. The implementation is done in Matlab.