In the conditions of the Russian Federation's military aggression against Ukraine, a large number of war crimes committed by Russia on the territory of Ukraine, it is important to study international courts in the field of criminal justice and understand the legal realities and prospects for solving war crimes at the international level. The purpose of the work is a scientific analysis of the legal realities of the resolution of war crimes by the International Criminal Court and the UN Criminal Court, as well as forecasting the future prospects of the activities of these judicial institutions. The methodological basis of this study is such methods as historical method, logical-legal, statistical, dialectical, comparative methods, and modeling methods. As a result of the conducted research, the current state of the activities of international judicial authorities regarding the consideration of war crimes cases was analyzed. Thus, it was noted that today there are problems regarding the resolution of war crimes by the International Criminal Court, taking into account Ukraine's non-ratification of the Rome Statute and the legal personality of this court to resolve this category of cases. The types of crimes for which prosecution is possible, as well as the peculiarities of their investigation and documentation, are also analyzed in detail.

The research is aimed at identifying the main legislative changes made under the conditions of a special legal regime, within the criminal law and criminal process and its impact on the general dynamics of the regulation of relevant social relations. Thus, under the conditions of the introduction of a special legal regime of martial law on the territory of Ukraine, the issues of improving the existing criminal and criminal procedural legislation, criminalizing certain acts, and simplifying the relevant procedural actions that reflect modern legal realities and meet the challenges and needs of the state and society have become urgent. The purpose of the work is to identify certain fundamental changes in criminal and criminal procedural legislation, which embody the dynamics of criminal law and process, as well as determine their further vector of development. The methodological basis of the work consists of the following methods: dialectical, functional, axiological, system-structural analysis method, and generalization method. The result of the study was proof of the existence of positive dynamics of criminal law and the criminal process in the conditions of a special legal regime. Despite the difficult time for Ukrainian statehood, Ukraine continues to improve the regulation of social relations within the framework of criminal law and process following the needs of society and the needs of the state, and also actively and effectively carries out a rule-making policy taking into account the prospects of the development of criminal law and process.

Article deals with safety-overrunning clutches for mechanical transmissions. Modern design of safetyoverrunning clutch with grooves sides inclined to semi-coupling radius has been described and researched in the article. It has practical value for creation modular-type machines. On the basis of the theoretic studies, the expressions for obtaining the main specific operation parameters have been proposed: rating torque, beginning and ending operation torques. As the result of the studies, the equations for estimation the clutch main operation characteristics have been received -rating torque exceeding coefficient, coefficients of clutch accuracy and sensitivity. On account of modeling and comparison with clutch where grooves sides are parallel to the radius made a number of important conclusions. The analysis performed demonstrates that clutches with inclined to radius grooves sides in general have higher operation characteristics compared with clutches with parallel to radius grooves sides, particularly higher accuracy coefficient and lower rating torque exceeding coefficient. Obtained results make it possible to recommend for highly loaded large-mass systems clutches with low values of grooves to clutch axe and grooves sides to radius inclination angles, because it provides balls contact with plane sides grooves surfaces and through this allows to decrease contact stresses compared with clutches with grooves sides parallel to radius; allows to provide high load capacity with low rating torque exceeding in overload mode; in clutches with inclined to radius grooves sides friction impact manifests less in operation with high rotation frequency.