Finite element (FE) modeling the motion of deformable bodies within a fluid, as well as the interaction between the bodies, has been a continuous challenge over the years. There are in principle two approaches – loose and strong coupling between the FE models of the two domains, with their advantages and drawbacks. We here present our concept...

By Velibor Isailović, Miljan Milošević, Nikola Kojić, Miloš Kojić

Aortic dissection is a severe clinical condition that demands a thorough understanding of the interactions between the true and false lumens. In this study, numerical simulations were performed for two patients, generating two preoperative and two postoperative models. The analyses were carried out using the PAKSF solver, a specialized tool for flu...

By Igor Saveljić, Tijana Đukić, Smiljana Tomašević, Nenad Filipović

Mass transport is a fundamental process in living organisms, responsible for the delivery of oxygen, nutrients, and drugs from blood vessels to tissues, as well as the removal of waste products back to the vascular and lymphatic systems. This exchange occurs across various biological barriers, including blood vessel walls and cellular membranes, an...

By Vladimir Simić, Miljan Milošević, Bodan Milićević, E.J. Koay, Xuewu Liu, Antonio Martino, Rossana Terracciano, Carly Filgueira, Miloš Kojić

The extremely complex biological and biochemical processes are mainly treated by laboratory and clinical investigations. In recent decades, the application of computational modeling has become more important in research and applications in the medical sciences. Despite enormous efforts and achievements in this modeling, there is still a need for ne...

By Miloš Kojić, Miljan Milošević, Vladimir Simić, Bogdan Milićević

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 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

Huxley-type muscle models offer a physiologically grounded description of cardiac contraction but remain computationally prohibitive for large-scale, multi-scale simulations. This article reviews surrogate modeling strategies that alleviate these costs for ventricular biomechanics, with emphasis on data-driven (RNN/TCN/GRU) and physics-informed (PI...

By Bogdan Milićević, Miloš Ivanović, Boban Stojanović, Miljan Milošević, Miloš Kojić, Nenad Filipović

Wave acoustic equation is implemented and solved using finite element method in PAK solver to simulate propagation of sound waves, that cause oscillations of ear’s components, such as cochlea (part of inner ear). To simulate mechanical behaviour of cochlea, behaviour of fluid in chambers and behaviour of basilar membrane which separates them ...

By Milica Nikolić, Velibor Isailović, Nenad Filipović

X-ray angiography is one of the diagnostic procedures applied in clinical practice to analyze the state of patient-specific coronary arteries. During this examination a parameter called fractional flow reserve (FFR) is invasively measured to quantitatively assess the existence of potential stenosis and its significance. The software proposed in thi...

By Tijana Đukić, Ognjen Pavić, Lazar Dašić, Tijana Geroski, Nenad Filipović