# Development of plasticity conditions for isotropic structure of the soil

### Abstract

The article discusses the development of new generalized condition of plasticity (strength) with respect to ground anisotropic, in particular for the transversely isotropic soils (transtropic) structure. It is proposed to bring these terms generalize the known condition of plasticity Coulone - Mohr τ_c = C + σ_n tan φ, for two directions: along and across the strike of layers || layers, i.e. for ⊥ direction to the layers with respect to the plane of isotropy for soils that have transtropic structure systematized for the first time A.K. Bugrov and A.I. Golubev. The authors also analyze the possibility of generalization of the plasticity conditions (strength) on the main stress and σ_1 and σ_2 , as well as the critical values of the principal stresses σ_1c and σ_2 , proposed and developed in time for the isotropic structure of soil N.A.Tsytovich and N.S.Bulychev, the following approaches V.Vitke who suggested such criteria as applied to rocks orthotropic structure. These experimental data on the physical-mechanical and strength properties of the anisotropic structure of the soil and on the basis of the proposed new generalized conditions concludes that it is possible to determine the area of soil plasticity transtropic structure.### References

[1] Tsytovich N.А. Soil Mechanics. - Moscow: "High School 1979. - p.114-116.

[2] N.S. Bulychev Mechanics of underground structures in the examples and problems. - Moscow: Nedra, 1989. -p.59-61.

[3] Vitke V. Rock mechanics. - Moscow: Nedra, 1990. - 440 p.

[4] Bugrov A.K. Golubev A.I. Anisotropic soils and foundation structures.- St. Petersburg. "Bosom". 1993. -245p.

[5] BIT United ltd. England. 2007-2014. URL: http://www.bitunited.ru//84 (request date 25.05.2014)

[6] Rysbaeva A.K. Development of anisotropic structure antimud slide protection earth dams and justification of the innovative technology of its construction : // Abstract of dissertation for the degree of candidate of technical sciences. -Bishkek, 2014, -22 p.

[7] Rysbaeva G.P., Baymahan R.B. Laws of cracking in the vicinity of the array circuit of underground structures in an anisotropic array. - Almaty, 2016 -177 p.

[8] Seynasinova A.A. The state of stress in the vicinity of a weakly bound array of underground production, taking into account natural and artificial inhomogeneities. //Abstract of diss. cand. Sci. Almaty Sciences, 2010, 21 p.

[9] Baymahan R.B. Calculation seysmonapryazhennogo of underground structures in the non-uniform thickness of the finite element method. Monograph (Ed. Academician Sh Aytaliev). -Almaty, 2002. -232c.

[10] Ter-Martirosyan Z.G. Soil Mechanics. - M .: Publishing House of the DIA 2005.

[11] Ukhov S.B., Semenov V.V., Znamensky V.V., et al. Soil mechanics, foundation and foundations. - M .: Publishing House of the DIA, 2005.

[12] Dalmatov B.I. Soil mechanics, foundation and foundations. -L. 1988.

[13] Veselov V.A. Design of the foundations. - M., 1990.

[14] Ed. E.A.Sorochana and Yu.G.Trofimenkova. Grounds, foundations and underground structures. Designer Directory - Moscow, 1985.

[15] Ivanov P.L. Soils and foundation of hydraulic structures. Soil Mechanics. - M., 1991.

[16] Dalabaev S., Mukhambetzhanov S.T., Abdiakhmetova Z.M. Simulation-based adaptive filter matlab. -Almaty, 2013. No4(79), p.5-12.

[2] N.S. Bulychev Mechanics of underground structures in the examples and problems. - Moscow: Nedra, 1989. -p.59-61.

[3] Vitke V. Rock mechanics. - Moscow: Nedra, 1990. - 440 p.

[4] Bugrov A.K. Golubev A.I. Anisotropic soils and foundation structures.- St. Petersburg. "Bosom". 1993. -245p.

[5] BIT United ltd. England. 2007-2014. URL: http://www.bitunited.ru//84 (request date 25.05.2014)

[6] Rysbaeva A.K. Development of anisotropic structure antimud slide protection earth dams and justification of the innovative technology of its construction : // Abstract of dissertation for the degree of candidate of technical sciences. -Bishkek, 2014, -22 p.

[7] Rysbaeva G.P., Baymahan R.B. Laws of cracking in the vicinity of the array circuit of underground structures in an anisotropic array. - Almaty, 2016 -177 p.

[8] Seynasinova A.A. The state of stress in the vicinity of a weakly bound array of underground production, taking into account natural and artificial inhomogeneities. //Abstract of diss. cand. Sci. Almaty Sciences, 2010, 21 p.

[9] Baymahan R.B. Calculation seysmonapryazhennogo of underground structures in the non-uniform thickness of the finite element method. Monograph (Ed. Academician Sh Aytaliev). -Almaty, 2002. -232c.

[10] Ter-Martirosyan Z.G. Soil Mechanics. - M .: Publishing House of the DIA 2005.

[11] Ukhov S.B., Semenov V.V., Znamensky V.V., et al. Soil mechanics, foundation and foundations. - M .: Publishing House of the DIA, 2005.

[12] Dalmatov B.I. Soil mechanics, foundation and foundations. -L. 1988.

[13] Veselov V.A. Design of the foundations. - M., 1990.

[14] Ed. E.A.Sorochana and Yu.G.Trofimenkova. Grounds, foundations and underground structures. Designer Directory - Moscow, 1985.

[15] Ivanov P.L. Soils and foundation of hydraulic structures. Soil Mechanics. - M., 1991.

[16] Dalabaev S., Mukhambetzhanov S.T., Abdiakhmetova Z.M. Simulation-based adaptive filter matlab. -Almaty, 2013. No4(79), p.5-12.

Published

2018-04-01

How to Cite

БАЙМАХАН, А. Р. et al.
Development of plasticity conditions for isotropic structure of the soil.

**KazNU Bulletin. Mathematics, Mechanics, Computer Science Series**, [S.l.], v. 89, n. 2, p. 94-102, apr. 2018. ISSN 1563-0277. Available at: <http://bm.kaznu.kz/index.php/kaznu/article/view/386>. Date accessed: 17 aug. 2018.
Section

Mechanics

**Keywords:**anisotropy, soil, plasticity, isotropic plane, angle of inclination, shear stresses