• to learn the methodological basis of construction of mathematical models describing thermal and thermomechanical processes in welding;
• to learn the basic methods of solving differential equations that describe the welding processes;
• learn basic design and calculation-experimental methods of determining the temperature field in welding; welding stresses and deformations;
• learn to use methods of control of welding stresses and deformations in the development of new effective technologies of production of welded structures and their diagnostics.

- Study of physico-chemical and mechanical properties of welded joints
- Fracture mechanics of steel structures
- Surface engineering

Mathematical and computational models in welding. Working body. The sources of heat. Mathematical models of the action of instantaneous heat sources, continuous sources, moving sources of constant power, heating switcheroonie powerful sources of heat. Mathematical modeling of processes in the case of welding dissimilar metals. Mathematical modeling of processes in the case of plasma cutting of metals. Mathematical modeling of processes in the case of friction welding. Mathematical modeling of processes in the case of heating with a gas burner and a local heat treatment of welded joints in the case of a lot of through welding. Mathematical modeling of processes in the case of welding — brazing. Mathematical modeling of processes in the case hatterscheid in the case of processes associated with phase transitions. Modeling of residual stresses in thin plates with linear and circular butt joints. Mathematical modeling using computational-experimental method of determination of residual welding stresses. The formulation of inverse problems and methods for their solution.

1. . Kiryan V. I., V. A. Osadchuk, M. M. Nikolishin fracture Mechanics of welded joints of metal structures: lions : Spolom, 2007. — 320 p.
2. Strutinsky V. Would. Mathematical modeling of processes and systems mechanics: Textbook — Zhitomir: ZHITI, 2001. — 612 p.
3. Kushnir G. M., Nikolishin M. M., Osadchuk V. A. Elastic and elastic-plastic ultimate state of shells with defects: lions:-tvo "SPOLOM", 2003. — 320 p.
4. Kuzmenko A. G. the Methods of calculations and tests for wear and reliability: Khmelnitsky: BLUNT, 2002. – 151 S.
5. A. V. Vasylyk, Dragomiretsciy J. M., Kril J. A. Thermal analysis in welding. – Ivano-Frankivsk : Fakel, 2004. – 209 sec.

Current control, speed control (100 %, protection of laboratory works).