Mathematical Modeling in Mechanics of Granular Materials by Oxana Sadovskaya, Vladimir Sadovskii, Holm Altenbach

By Oxana Sadovskaya, Vladimir Sadovskii, Holm Altenbach

This monograph comprises unique ends up in the sector of mathematical and numerical modeling of mechanical habit of granular fabrics and fabrics with diverse strengths. It proposes new versions supporting to outline zones of the stress localization. The booklet exhibits how you can learn procedures of the propagation of elastic and elastic-plastic waves in loosened fabrics, and constructs versions of combined sort, describing the movement of granular fabrics within the presence of quasi-static deformation zones. In a final half, the booklet stories a numerical consciousness of the versions on multiprocessor desktops.
The e-book is meant for medical researchers, teachers of universities, post-graduates and senior scholars, who focus on the sphere of the deformable fabrics mechanics, mathematical modeling and adjoining fields of utilized and calculus mathematics.

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Rabiney from the University of North Carolina (USA) in 2010 created a technology for production of the most durable foam in the world. e. defects that are initiators of the destruction. Extensive experimental researches of the mechanical properties of such a materials were carried out. The diagrams of uniaxial tension and uniaxial compression on the example of aluminum foam and porous copper were obtained, [1, 2]. The problems of durability and cyclic fatigue of porous metals are considered in [17] etc.

Once computations have been performed, the system provides a possibility to output data in the form of graphs on a display or to an output file (a text file with separators) which can be used for analysis in other graphic editors. The results of calculations obtained with the help of the computer system for the scheme involving four rheological elements (Fig. 14) are shown in Figs. 23. They represented in the form of diagrams of variation of strain with time for the cyclic loading with a constant and linearly increasing stress amplitude.

183–198 (2002) 27. : To the theory of elastic-plastic waves propagation in granular materials. Doklady Phys. 47 (10), 747–749 (2002) 28. : Rheological models of hetero-modular and granular media. Dal’nevost. Mat. Zh. 4 (2), 252–263 (2003) 29. : On the yield condition for anisotropic porous materials. Mater. Sci. Eng. A 313 (1–2), 1–15 (2001) 30. : Rheology of Polymers. Springer, New York (1980) 31. : A numerical algorithm and a computer system for the analysis of rheological schemes. Numer. Methods Program.

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