The concept of sustainable development involves maintaining the stability of social systems through the development of human capital. The formation of values and universal skills of the youth population is an important component of human capital. The article studies the problem of the universal readiness of school leavers for academic activity and professional labor that is expressed by the degree of formation of value orientations, which are the basis for non-specialized soft skills. The level of development of soft skills of senior high school students in modern comprehensive schools, that ensures the behavioral characteristics of self-organization and work ethics, depends on the values they share, which were studied using the survey method. The randomized survey of senior high school students in Rostov region (N = 4037, 59.3% of girls), carried out in 2019, was aimed at identification of the elements of social collectivism - social egoism in the minds of young people and normative - deviant components of behavior motivation. The studied value orientations of young people were re-duced to social-cognitive elements and attitudes. The authors proceeded from the fact that evident social collectivism - social egoism is directly associated with manifestations of normative / deviant behavior. As a result of processing of the data obtained, a quantitative analysis and explication of the development of value orientations and soft skills in the field of work and organizational ethics of the modern contingent of secondary school students was represented, what made it possible to formulate the preferential directions of pedagogic work.

A periodic contact problem (tangential contact) on a chain of thin rigid inclusions located along the edge of a three-dimensional elastic wedge of a dihedral angle in its middle half-plane (rigid sealing of the wedge faces, the axis of the chain of inclusions is parallel to the edge of the wedge) is considered. To derive the integral equation, the previously obtained fundamental solution of the problem of the action of a concentrated force inside a three-dimensional elastic wedge is used. The nucleus has latent symmetry, then it is reduced to a form with explicit symmetry. To solve the integral equation, a regular asymptotic method is used, which is effective for relatively sparse and far from the edge chains of inclusions in a three-dimensional elastic wedge. Contact characteristics are calculated for different values of dimensionless geometric parameters. Previously, similar problems were considered about one inclusion (stringer) in a strip [1] and a three-dimensional wedge [2], as well as in an unbounded elastic body [1].

Introduction.  The investigation of the contact problems  for cylindrical bodies is urgent due to the engineering contact strength analysis on shafts, cores and pipe-lines. In the present paper, a new contact problem of elastostatics on the interaction between a rigid band and an infinite two-layered cylinder, which consists of an internal continuous cylinder and an outer hollow one, with a frictionless contact between the cylinders, is studied. The outer cylindrical band of finite length is press fitted. By using a Fourier integral transformation, the problem is reduced to an integral equation with respect to the unknown contact pressure.Materials and Methods. Different combinations of linearly elastic materials of the composite cylinder are considered. Asymptotics of the symbol function of the integral equation kernel at zero and infinity is analyzed. This plays an important role for the application of the analytical solution methods. A key dimensionless geometric parameter is introduced, and a singular asymptotic technique is employed to solve the integral equation.Research Results. On the basis of the symbol function properties, a special easily factorable approximation being applicable in a wide variation range of the problem parameters is suggested. The Monte-Carlo method is used to determine the approximation parameters. The asymptotic formulas are derived both for the contact pressure, and for its integral characteristic. Calculations are made for different materials and for various relative thickness of the cylindrical layer  including thin-walled layers.Discussion and Conclusions. The asymptotic solutions are effective  for  relatively  wide  bands  when  the  contact  zone length is bigger than the diameter of the composite cylinder. It is significant that the method is applicable also for those cases when  the  outer  cylindrical  layer  is  treated  as  a  cylindrical shell. The asymptotic solutions can be recommended to engineers for the contact strength analysis of the elastic barrels with a flexible coating of another material.