1. Deepening of knowledge in different areas of нon-linear strenght problems of rail vehicles. 2. Become acquainted with advanced methods and tools for the study of нon-linear strenght problems of rail vehicles. 3. Training for participation in research and development teams on the projects оф rail vehicles and their systems.

Аftеr completion of the course a PhD student should be able to: 1. Apply advanced computational methods and computer tools in calculation of non linear strength problems of railway vehicles. 2. Analyze specific non-linear strength phenomena of rail vehicles. 3. Participates in defining the research programs of rail vehicle strength problems. 4. Participate in the critical evaluation of research results. 5. Participate in drawing conclusions about the quality of the research results. 6. Participate in proposing future research directions of specific strength problems of the railway vehicles.

Depending on PhD. thesis field following subjects will be more or less deeply studied. Nonlinear modeling in the field of rail vehicles strength. Specific tools for calculations in different areas of the nonlinear strength. Elastic elastomeric elements modeled in hiperelasticity area. Methods for determining material properties. Material models in elasto-plastic area. Collision scenarios in rail traffic. Structural strength requirements that should be fulfilled in different collision scenarios. Types of elements for the kinetic energy absorbtion in collision of railway vehicles. The concept of vehicle headparts in order to reduce the consequences of a collision. Residual stresses due to braking of railway wheels. Measures to reduce the risk of wheel fracture. Fracture toughness and its measurement methods on samples from the wheels of rail vehicles. Modeling the formation process of residual stresses during braking with brake shoes. Methods for measuring the residual stress. Methods for repairing wheels with unacceptably high residual stresses.

Student writes seminar paper from a selected area upon agreement with relevant lecturer and supervisor of doctoral dissertation.

Knowledge of the railway vehicles design at the master level course. Completed course of the strength of material at the master level.

Publications from the SCI list

Total assigned hours: 65

New material: 30
Elaboration and examples (recapitulation): 20

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 5
Review and grading of seminar papers: 10
Review and grading of the project: 0
Test: 0
Test: 0
Final exam: 0

Activity during lectures: 0
Test/test: 0
Laboratory practice: 10
Calculation tasks: 20
Seminar paper: 40
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 0

Milkovic, D., Wayside system for wheel-rail contact forces, Faculty of Mechanical Engineering, Belgrade 2017., ISBN: 978-86-7083-939-7; Milutinovic, D., Simic, G., Loads and calculation of railway vehicles' wheels, Faculty of Mechanical Engineering, Belgrade, 2006., ISBN: 979-86-7083-543-6; Tanaskovic, J., Railway vehicles passive safety, Faculty of Mechanical Engineering, Belgrade, 2014., ISBN: 978-86-7083-777-5; Simić, G. Railway vehicles, Faculty of Mechanical Engineering, Belgrade 2013., ISBN: 978-86-7083-809-3