N. V. Pereborova

Correction to: Development of Criteria for Reliability of the Prediction of the Deformation and Relaxation Processes of Polymeric Materials

The acknowledgement on page 139 should readThe work was financed within the framework of the base part of the state task of the Ministry of Education and Science of the Russian Federation, Project No. 11.4696.2017/8.9.

Modeling of Deformation-Relaxation Processes of Aramid Textile Materials – the Foundation for Analyzing Their Operational Properties

Methods for mathematical modeling of deformation-relaxation processes of aramid textile materials are described. It is shown that the increase in the competitiveness of these materials is closely tied to qualitative analysis methods of their operational-consumer and functional properties.

Development of Criteria for Reliability of the Prediction of the Deformation and Relaxation Processes of Polymeric Materials

The problems of the reliability of the prediction of the relaxation and deformation properties of polymer materials in the region of action of nondestructive loads close to the conditions of their operation are considered on the basis of mathematical modeling of the relaxation and creep processes. For practical evaluation of the reliability of this prediction, integral criteria are obtained on the basis of the determining equations of deformation and relaxation processes of these materials.

Variants of Mathematical Simulation and Systems Analysis of Mechanical Relaxation and Creep of Polymer Materials

Questions related to mathematical simulation and systems analysis of mechanical relaxation and creep of polymer materials are considered. Based on this discussion a prediction of relaxation and deformation processes of differing degrees of complexity, from simple relaxation with constant deformation and simple creep with constant load to compound processes of reverse relaxation and deformation-reduction processes with multi-stage deformation and loading, is presented.

Development of Methods of Mathematical Modeling of Processes of Relaxation and Creep of Polymer Filaments Based on a Spectral Interpretation

Methods of mathematical modeling of processes of relaxation and creep of polymer filaments on the basis of a spectral interpretation of the processes are described. It is shown that the analytic forms of the relaxation and delay (creep) spectra are completely determined by the mean-statistical values of the relaxation and delay times as well as by the structural coefficients of these processes, which basically characterize the intensity of relaxation and creep processes.

Comparative Analysis of the Deformational Properties of Aramid Fibers and Textiles Made from Them

The deformational properties of Aramid fibers are subjected to a comparative analysis. It is shown that dividing processes involving the deformation of Aramid textiles into an elastic component and a viscoelastic-plastic component allows the proper choices to be made among materials which have certain elastic-mechanical properties. Comparative analysis of the viscoelastic characteristics of Aramid fibers is the foundation for solving the engineering problems encountered in the design and selection of materials having specified elastic and viscoelastic-plastic properties.

Mathematical Modeling and Computer Prediction of Deformation Processes in Polymeric Parachute Straps

Aspects of the mathematical modeling and computer prediction of deformation processes in polymeric parachute straps are examined. The computer methods developed on the basis of the mathematical model of viscoelasticity to predict relaxation and creep in the straps make it possible to calculate deformation and relaxation processes and the straps’ relaxational and deformational characteristics with a high degree of accuracy. Methods that were developed to divide total strain into its components also allow evaluation of the straps’ elastic and viscoelastic properties, which play an important role in choosing materials that have the requisite deformation properties.

Mathematical Modeling of Relaxation and Creep for Medical-Grade Polymer Yarns

We have studied the deformation properties of medical-grade polymer yarns (categorized as viscoelastic solids) in the region of action of nondestructive loads close to their usage conditions, based on a mathematical model of the deformation processes. Advances in methods for theoretical prediction of the stress–strain state of the indicated materials can be attributed to their expanding application. Development of procedures for calculation of deformation processes in the studied materials is inseparably connected with solving problems of comparative analysis of their deformation properties, with studies of the correlation between properties and structure, with targeted processing control of properties, and also with prediction of short-term and long-term mechanical effects.

Computer Modeling and Prediction of the Deformation Properties of Polymeric Marine Cables

It has been established that mathematical modeling and computer prediction of the deformation properties of synthetic filaments can be successfully used to study the corresponding properties of polymeric marine cables. This finding confirms the universal nature of these methods. Polymeric cables are more resistant to aggressive media (seawater) than steel cables. In addition, some polymeric cables do not sink in water, which is important for towing operations and hauling freight by water.

Spectral Analysis of Relaxation Properties of Polymer Yarns with an Amorphous/Crystalline Structure

Spectral analysis of relaxation properties of polymer yarns is used to give a physical interpretation of systems analysis methods and computational prediction of nonlinear hereditary relaxation of yarns with an amorphous/crystalline structure in the zone of nondestructive mechanical action. Spectral modeling of the relaxation properties of polymer yarns is based on a generalized classical Maxwell model. The selected normalized relaxation function is interpreted as the integrated particle distribution with respect to a logarithmic relaxation time scale. Such a physical interpretation of the relaxation function is useful for comparative analysis of the relaxation properties of polymer yarns.