The paper presents the procedure of implicit stress integration for constitutive models for soil and rock. The theoretical basis of Mohr-Coulomb, Matsuoka-Nakai, Hoek-Brown and Hyperbolic soil constitutive models are presented. Stress integration was performed using the theory of incremental plasticity. The general procedure of implicit stress inte...

By Dragan Rakić, Miroslav Živković

The concrete damaged plasticity (CDP) model is one of the most popular constitutive models implemented into various Finite Element Method software. The application to the real structures is documented in the literature, but still there are some doubts about the response in combination with the various finite elements. Simple benchmark examples simu...

By Vladimir Dunić, Nenad Grujović, Aleksandar Bodić, Dragan Rakić, 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

A stress-strain history in the material of real concrete structures is usually unknown. An effect of concrete degradation is analyzed to describe how the initial degradation parameter can describe the stress-strain history. The idea is to introduce the initial damage of the structure by the degradation parameter to calculate the internal variables ...

By Dragan Rakić, Vladimir Dunić, Miroslav Živković, Nenad Grujović, Dejan Divac