Geodesic
On the numerical investigations of stress-strain behavior of materials based on isotropic elasticity model for multimodulus media
Matematičeskoe modelirovanie, Tome 20 (2008) no. 4, pp. 117-127

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The paper deals with the multimodulus approach to problems of continuum mechanics. In the introduction we give a survey of promising multimodulus model developed by V.P.Myasnikov for the case of isotropic elasticity. We consider also the numerical finite-element approximations to the multimodulus equilibrium state equations which in fact form the sophisticated Lame system. By means of that model a set of test problems was solved. The test simulations were carried out for structural objects consisting of such multimodulus materials as steel, concrete, ceramics and soil. The results are presented in the final part of the article. The effect of different moduli in tension and compression on the strain intensity is discussed. 
@article{MM_2008_20_4_a9,
     author = {V. A. Gasilov and M. V. Golovin},
     title = {On the numerical investigations of stress-strain behavior of materials based on isotropic elasticity model for multimodulus media},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {117--127},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_4_a9/}
}
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V. A. Gasilov; M. V. Golovin. On the numerical investigations of stress-strain behavior of materials based on isotropic elasticity model for multimodulus media. Matematičeskoe modelirovanie, Tome 20 (2008) no. 4, pp. 117-127. http://geodesic.mathdoc.fr/item/MM_2008_20_4_a9/