Simulation of the Fading Memory of Form of the Trajectory in the Theory of Simple Materials with Elastoplastic Behavior. Part 1. Finite Strains

We propose a mathematical theory of rigorous construction and specialization of determining relations for hardening elastoplastic materials simple in Noll's sense with fading memory of the form of trajectory in which plastic strains occur immediately after the application of loading and monotonically increase in the process of deformation. Strains and the type of symmetry of the material are arbitrary. For the processes of deformation close to proportional and slightly different from the stress- and strain-free configuration, we deduce physical equations for materials without memory of form of the trajectory with weakly fading memory, and fading memory of the nth order. On the basis of these equations, we deduce determining relations for isotropic materials.     

The construction of constitutive relations for isotropic strain-hardening elastoplastic materials of the differential type of complexity <Emphasis Type="Italic">n</Emphasis>. Part 2. Infinitesimal strains

A method of specialization of the physical equations constructed earlier by the author for isotropic hardening elastoplastic materials of the differential type of complexity n for finite strains is developed within the theory of infinitesimal strains. With this method, a number of constitutive relations are derived in the form of the hierarchy according to the level of complexity of the material response to deformation. For n = 1, the conditions for the existence of a loading surface are established. Translated from Problemy Prochnosti, No. 4, pp. 29–47, July–August, 2009.     

Problem of modeling hardening in the theory of flow

An analysis of relationships used to define isotropic and kinematic hardening in a theory of flow previously proposed by the author is presented. Familiar hardening laws are obtained using appropriate simplifications of the relationships examined.Institute of Strength Problems, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Problemy Prochnosti, No. 12, pp. 44–47, December, 1989.     

Investigation of the Ni3Al-Fe alloys by resistivity measurements and differential thermal analysis

A series of iron-doped Ni₃Al ternary alloys is investigated by resistivity measurements and differential thermal analysis. Temperatures of phase transformations and disordering onset are determined. A hysteresis phenomenon is observed in the liquid state in polytherms of resistivity upon heating the alloy under study to the critical temperature.     

Numerical simulation of carrying capacity of the high-pressure metal composite vessel

This paper considers the issue of the numerical simulation of stress–strain state and the destruction of the composite vessel with a metal liner under gradually increasing pressure. The provided solution algorithm is based on the continuum of damage mechanics simulation that relates to the initiation of damage and the accumulation and degradation of the mechanical properties of material. The calculation results are compared with the actual experiment data.     

Discharge of excess brine into water bodies at potash industry works

The paper covers the issues of the excessive brine yield at Verkhne-Kamsk potash and magnesium salt mine (UKPMS). The authors consider that in the short-term outlook the promising solution to this problem is the discharge of excess brine into the Kama man-made water reservoir on the regular basis with compulsory dilution of brine solutions to be disposed.