The article deals with the mechanical and mathematical model of deformation and development of zones of plastic deformations in landslide slopes under static and dynamic influence taking into account physical and geometrical nonlinearity.
Keywords: landslide slope, plastic deformation zone, dynamic impact, physical nonlinearity, geometric nonlinearity, stress deviator, stress tensor, deformation of the soil medium
The article deals with creep in structural mechanics. Systems of non-linear resolving equations for different types of creep kernels are written. An algorithm for solving the problem of nonlinear heredity is considered.
Keywords: creep, nonlinear heredity, creep kernel approximations, finite elements method, exponential-type kernels, least-squares method, collocation nodes
In the article it describes the main disadvantages of modern methods of modeling of reinforced landslide slope behavior, proposed in our research approach and the results of calculation made in the developed software complex "Polus-W"
Keywords: reinforced landslide slope, limit state, finite element method, a stepper method, a continuous system, calculation
The article deals with the direct and alternative forms of nonlinear heredity hypothesis. A relation between the nuclei produce relaxation and direct and alternative formulations. The algorithm for solving the problem of small elastic-plastic deformations in view of the heredity material finite element method.
Keywords: nonlinear heredity, integral, function, creep kernel, theory of elasticity, strain, relaxation, creep, stress, finite element method