This paper presents a method for improving the numerical analysis of contact problems using a penalty formulation. Since contact phenomena are inherently nonlinear, particularly in the case of large deformations, an incremental solution strategy is required. Conventional Newton-Raphson algorithms often face convergence problems when many nodes make...

By Snežana Vulović, Miroslav Živković, Nenad Grujović, Marko Topalović

The interaction between the Finite Element Method (FEM) and Smoothed Particle Hydrodynamics (SPH) is crucial in multiphysics simulations of granular–structure systems, impacts, and material behavior. This paper presents a penalty-based contact algorithm with Coulomb friction for FEM–SPH coupling. The method accounts for static and dynam...

By Marko Topalović, Miloš Ivanović, Snežana Vulović, Aleksandar Nikolić, Miroslav Živković

The paper presents various examples of the application of the PAK software and its modules for thermal, filtration, and stress–strain analysis of different complex engineering structures such as gravity dams, arch dams, embankment dams, tunnels, and mines. Examples of research, studies, and projects in which PAK has been applied to assess the...

By Dejan Divac, Slobodan Radovanović, Maja Pavić, Nikola Milivojević, Vladimir Milivojević, Miroslav Živković, Dragan Rakić, Snežana Vulović

The purpose of this research was to investigate the prospect of continuous flow modelling in LS-DYNA using SPH-FEM coupling. The both methods (SPH and FEM) are based on the continuum mechanics, however, SPH implementation uses Lagrangian material framework, while FEM uses an Eulerian formulation for the fluid analysis, and Lagrangian formulation fo...

By Marko Topalović, Aleksandar Nikolić, Snežana Vulović, Vladimir P. Milovanović