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Projects
Mechanics of nonlinear and dissipative systems - contemporary models, analysis and applications
Research activity
| Code | Science | Field |
|---|---|---|
| P000 | Natural sciences and mathematics |
Keywords
gaseous mixtures, non-equilibrium processes, stability, bifurcations, non-smooth mechanics
Organisations (4) , Researchers (2)
0038 University of Novi Sad, Faculty of Technical Sciences
| no. | Code | Name and surname | Research area | Role | Period | No. of publicationsNo. of publications |
|---|---|---|---|---|---|---|
| 1. | 20682 | Mathematical and general theoretical physics, classical mechanics, quantum mechanics, relativity, gravitation, statistical physics, thermodynamics | Head | 2011 - 2019 | 34 |
0039 University of Novi Sad, Faculty of Medicine
0040 University of Novi Sad, Faculty of Sciences
0075 University of Kragujevac, Faculty of Mechanical and Civil Engineering in Kraljevo
| no. | Code | Name and surname | Research area | Role | Period | No. of publicationsNo. of publications |
|---|---|---|---|---|---|---|
| 1. | 11108 | Mechanical engineering, hydraulics, vacuum technology, vibration and acoustic engineering | Researcher | 2011 - 2019 | 16 |
Abstract
The project is focused on research of fundamental problems of mechanics of nonlinear and dissipative systems. There will be three directions of research which will be interwoven during the project: 1) thermo-mechanics of non-equilibrium processes in gaseous mixtures and nonlinear materials; 2) stability, dynamics and bifurcations of discrete and continuous systems; 3) bio-mechanics. It assumed that all three directions will comprise the elements of modeling (mathematical models, constitutive relations), analysis (including numerical simulations) and applications. Within the first topic it is intended to establish and study nonlinear models of multi-temperature gaseous mixtures and isotropic nonlinear materials and analyze nonlinear wave propagation in them (shock waves, deflagration and detonation). These problems will be tackled using phenomenological theories, as well as kinetic theory of gases. Contribution within the second topic will be related to stability analysis of and post-critical behavior of elastic rods, instability analysis of holonomic and non-holonomic discrete systems with dissipation, oscillations of elastic plates, uni- and bi-modal optimization of elastic rods and impact and vibration analysis of rigid bodies with visco-elastic layer and dry friction. Third topic is supposed to provide substantial contribution in the field of rheological and dynamical modeling of biological tissues using fractional derivatives.