A student of the Faculty of Mathematics and Physics, Department of Mathematics, prepared and defended the master's thesis in the field of solving linear elastostatic problems with meshless methods under the supervision of a member of the project team, for which he received the faculty Prešeren prize. The work was prepared as part of the project. The author introduces the concept of a stress tensor in a mathematically correct way, derives equations of motion, and shows the existence of a unique solution. Next, he focuses on the numerical solution of the obtained equations with the meshless method. He analyses solutions of several problems and presents an example of a stress analysis in the simplified case of fretting fatigue of the material as the final result.
D.10 Educational activities
COBISS.SI-ID: 18122329In the project we are developing a general library for numerical solving of coupled systems of partial differential equations, where we strive for the highest level of coordinate free implementation that enables us to quickly adapt to new problems. Thus, we have used the library in the task "Cooling of overhead power lines in wind regimes below 0.6 m/s ", which is carried out for ELES, d.d. In the task we are dealing with the problem of natural convection in the vicinity of the transmission line, described by the Navier Stokes and the heat equation.
F.17 Transfer of existing technologies, know-how, methods and procedures into practice
COBISS.SI-ID: 31223335