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About Tensor - Nonlinear Model of Plastic Materials, Which Takes into Account Changes in the Structure of the Dissipative and Its Self-Organization
Engineering Education # 05, May 2014
DOI: 10.7463/0514.0709269
The model proposed earlier, you were not able to accurately reflect the properties of aluminium and other alloys, different anomalous behavior of the transverse coefficient of deformation. These alloys attract the attention of many scientists who provide strong evidence of the fact that internal processes include the mechanism of "self-healing " defects. The purpose of this work is to improve the dilating plastic material model. For a description of dilatancy, as the additional components of the volumetric strain and medium voltage found other equations. It is shown that in the self-organization patterns intense growth in the number of internal connections at decrease in volume strains. This explains the mentioned peculiarity and the possibility of "running neck" at high lead levels.
Tensor non-linearity of media that show significant difference in resistance to tension and compression
Engineering Education # 10, October 2013
DOI: 10.7463/0513.0571202
Tensor non-linearity as a phenomenon brings together many well-known effects inherent in the specified materials, including grey cast irons study of which can be found in works by M. I. Leonov and his disciples. Processing of test results and description of properties of such media, with a very great difference in limiting deformations, is a complicated problem. In this work it was shown that the best way to solve this problem is to use V.V. Novozhilov’s theory about connection of stress and strain deviators with specified experimental results; these results allowed to improve the method of determination of material functions within the range of all ultimate deformations of simple tests. It was possible to achieve the latter with the use of “extrapolation” of initial data up to the ultimate deformation of compression. The model created by this method reflects the effect of dilatancy in a generalized sense more accurately, revealing the essence of tensor nonlinearity. It was also shown that the accumulated deformation of loosening can be chosen as a criterion of strength.
Tensor nonlinearity of plastic materials
Engineering Education # 04, April 2013
DOI: 10.7463/0413.0567103
Works of Lode V., Yagna Yu. I. and other researchers point to the presence of deviations from the laws of plasticity that found wide application in scientific literature. Analysis of the results of studies with such materials as steel, nickel, copper, and duralumin shows the possibility of studying and description of marked deviations from the standpoint of modern representations of the tensor of nonlinearity. In this work, on the basis of the results of the mentioned works, it was shown that consideration of this non-linearity leads to increases in accuracy of determination of both stresses and deformations, if we reject a single relation between intensity of stress and intensity of deformations. For this purpose, derivation of determining equations of the deformation theory of plasticity, which takes into account the effect of loosening, a form of hardening curves and their dependence on the kind of stressed state was performed using one of the variants of the theory of V. V. Novozhilova.
Tensor nonlinear structurally heterogenious materials
Engineering Education # 08, August 2012
DOI: 10.7463/0812.0466666
 Analyses of Novozhilov equations show that existence of tensor nonlinearity is due to the difference of values ​​of the shear moduli in the direction of the principal shear stresses. It is shown that materials which have different degrees of non-linear charts at simple stress state develop tensor nonlinearity where, with increasing stress state, the deformed state is significantly different from the decisions made ​​by models which do not take into account this effect. 
 
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