Iterative methods for solving variational inequalities of the theory of soft shells

© 2014, Pleiades Publishing, Ltd. The convergence of iterative methods for solving variational inequalities with monotone-type operators in Banach spaces is studied. Such inequalities arise in the description of deformation processes of soft rotational network shells. Certain properties of these operators, such as coercivity, potentiality, bounded Lipschitz continuity, pseudomonotonicity, and inverse strong monotonicity, are determined. An iterative method for solving these variational inequalities is proposed, its convergence is investigated, and the boundedness of the iterative sequence is proved. Moreover, it is proved that any weakly convergent subsequence of the iterative sequence converges to a solution of the original variational inequality

Socio-humanitarian nature of professionalism of the journalist

"Professionalism" as a concept has been historically formed in socio-humanitarian paradigm. Post-industrialism has made significant changes in the social structure of the modern world, the changes have affected both economic and socio-cultural spheres of life. The number of people employed in the manufacturing sector has decreased, and the number of people employed in non-productive areas such as trade, services, information sector has increased. The requirements for professional skills, attitudes towards professionalism have also changed. The aim of the study is to expose the changes concerning the concept of professionalism in journalism, associate external social factors with the professional qualities of the individual journalist. We have used comparative-historical method of studying the legal and regulatory framework, methods of qualitative social research: participant observation, personified interviews, expert inquiry. 52 journalists have been polled from 41 leading Russian publications. The study found that awareness of professionalism among journalists in Russia was formed in terms of high humanistic views. In Soviet times, these ideas underwent a qualitative change and were heavily politicized and idealized but did not lose their humanistic principles. As a result of the economic changes occurred in Russia at the turn of the century, the notion of professionalism in journalism assumes utilitarian and practical nature and is determined more by external circumstances (rating, careerism, political commitment) than the internal culture of the individual and the humanistic principles of the journalist. Formation of professional skills of the journalist is influenced by socio-cultural, economic, technological and political factors. The image of a professional journalist is not individual any longer, depersonalized workers with a certain set of skills and abilities are replacing the individuals in the profession

On the solving of equilibrium problem for the soft network shell with a load concentrated at the point

A spatial equilibrium problem of a soft network shell in the presence of external point load concentrated at some point is considered. A network shell is understood to mean the shell which has as its strength basement the net formed by two families of mutually intersecting, absolutely flexible, elastic threads. It is supposed that functions describing physical relations in the threads are continuous, nondecreasing, and have the linear growth at infinity. The generalized problem in the form of operator equation in the Sobolev space is formulated. It is proved that the set of solutions of the generalized problem is non-empty, convex, and closed. The finite dimensional approximations of the problem are constructed and their convergence is investigated. To solve the problem, we used a two-layer iterative method. This method was realized numerically. The numerical experiments made for the model problems confirmed the efficiency of the iterative method

Mathematical Simulation of the Problem of the Pre-Critical Sandwich Plate Bending in Geometrically Nonlinear One Dimensional Formulation

© Published under licence by IOP Publishing Ltd. In this paper we consider the geometrically nonlinear problem of determining the equilibrium position of a sandwich plate consisting of two external carrier layers and located between transversely soft core, connected with carrier layer by means of adhesive joint. We investigate the generalized statement of the problem. For its numerical implementation we offer a two-layer iterative process and investigate the convergence of the method. Numerical experiments are carried out for the model problem

On the equilibrium problem of a soft network shell in the presence of several point loads

We consider a spatial equilibrium problem of a soft network shell in the presence of several external point loads concentrated at some pairwise distinct points. A generalized statement of the problem is formulated in the form of integral identity. Then we introduce an auxiliary problem with the right-hand side given by the delta function. For the auxiliary problem we are able to find the solution in an explicit form. Due to this, the generalized statement of the problem under consideration is reduced to finding the solution of the operator equation. We establish the properties of the operator of this equation (boundedness, continuity, monotonicity, and coercitivity), which makes it possible to apply known general results from the theory of monotone operatorsfor the proof of the existence theorem. It is proved that the set of solutions of the generalized problem is non-empty, convex, and closed. © (2013) Trans Tech Publications, Switzerland

On the solvability of geometrically nonlinear problem of sandwich plate theory

© 2015 I. B. Badriev et al. The problem of determining the stress-strain state rigidly fixed sandwich plate with transversely soft core in the presence of constraints (i.e., material nonlinearity) corresponding to the ideal elastic-plastic model for the core material is considered. Solvability of the generalized statement of the problem as a problem of finding the saddle point of some functionals is investigated

Determination of stress-strain state of geometrically nonlinear sandwich plate

© 2015 I. B. Badriev, V. V. Banderov, M. V. Makarov and V. N. Paimushin. By using the two-layer iterative method we obtain the basic characteristics of the equilibrium position of sandwich plate with a transversely soft filler in geometrical nonlinear one-dimensional statement. To solving problem we previously construct its finite-difference approximation Analysis of the results of numerical experiments is performed. Obtained data testify to the effectiveness of the proposed method

Iterative methods for solving variational inequalities of the theory of soft shells

© 2014, Pleiades Publishing, Ltd. The convergence of iterative methods for solving variational inequalities with monotone-type operators in Banach spaces is studied. Such inequalities arise in the description of deformation processes of soft rotational network shells. Certain properties of these operators, such as coercivity, potentiality, bounded Lipschitz continuity, pseudomonotonicity, and inverse strong monotonicity, are determined. An iterative method for solving these variational inequalities is proposed, its convergence is investigated, and the boundedness of the iterative sequence is proved. Moreover, it is proved that any weakly convergent subsequence of the iterative sequence converges to a solution of the original variational inequality

Iterative methods for solving variational inequalities of the theory of soft shells

© 2014, Pleiades Publishing, Ltd. The convergence of iterative methods for solving variational inequalities with monotone-type operators in Banach spaces is studied. Such inequalities arise in the description of deformation processes of soft rotational network shells. Certain properties of these operators, such as coercivity, potentiality, bounded Lipschitz continuity, pseudomonotonicity, and inverse strong monotonicity, are determined. An iterative method for solving these variational inequalities is proposed, its convergence is investigated, and the boundedness of the iterative sequence is proved. Moreover, it is proved that any weakly convergent subsequence of the iterative sequence converges to a solution of the original variational inequality

Iterative methods for solving variational inequalities of the theory of soft shells

© 2014, Pleiades Publishing, Ltd. The convergence of iterative methods for solving variational inequalities with monotone-type operators in Banach spaces is studied. Such inequalities arise in the description of deformation processes of soft rotational network shells. Certain properties of these operators, such as coercivity, potentiality, bounded Lipschitz continuity, pseudomonotonicity, and inverse strong monotonicity, are determined. An iterative method for solving these variational inequalities is proposed, its convergence is investigated, and the boundedness of the iterative sequence is proved. Moreover, it is proved that any weakly convergent subsequence of the iterative sequence converges to a solution of the original variational inequality