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IssuesArchive of Issues2003-3pp.71-77

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A. V. Gnoevoi and V. M. Chesnokov, "Bingham medium as an object of investigation," Mech. Solids. 38 (3), 71-77 (2003)
Year 2003 Volume 38 Number 3 Pages 71-77
Title Bingham medium as an object of investigation
Author(s) A. V. Gnoevoi (Moscow)
V. M. Chesnokov (Moscow)
Abstract We give a brief historical review of the development of concepts regarding mechanical properties of Bingham media and their mechanical models used for the investigation of flows of such media in hydrodynamic sense. We introduce the notion of aggregative states of Bingham media relating their rheological properties and their internal stress state. We propose criteria for the identification of aggregative states of Bingham media.
References
1.  D. Weipert, H.-D. Tscheuschner, and E. Windhab, Rheologie der Lebensmittel, Behr's, Hamburg, 1993.
2.  M. Reiner, Rheology [Russian translation], Nauka, Moscow, 1965.
3.  B. Saint-Venant, "On the derivation of the equations of internal motions arising in solid plastic bodies beyond the limits of elasticity," in Yu. N. Rabotnov (Editor), Theory of Plasticity [in Russian], pp. 11-19, Izd-vo Inostr. Lit-ry, Moscow, 1948.
4.  H. Henky, "On slow stationary motions in plastic bodies with applications to rolling, forging, and drawing," in Yu. N. Rabotnov (Editor), Theory of Plasticity [in Russian], pp. 136-156, Izd-vo Inostr. Lit-ry, Moscow, 1948.
5.  A. V. Gnoevoi, D. M. Klimov, and V. M. Chesnokov, On the Theory of Bingham Flows. Preprint No. 626 [in Russian], Institute for Problem in Mechanics, Moscow, 1998.
6.  A. V. Gnoevoi, D. M. Klimov, and V. M. Chesnokov, "On a case of plane flow of Bingham media," Izv. AN. MTT [Mechanics of Solids], No. 5, pp. 63-73, 2001.
7.  M. P. Volarovich and A. M. Gutkin, "Visco-plastic flow between two plane parallel walls and in an annular clearance between coaxial pipes," Zh. Tekhn. Fiziki, Vol. XVI, No. 3, pp. 321-329, 1946.
8.  A. A. Il'yushin, "Deformation of a visco-plastic body," Uchen. Zapiski MGU, Ser. Mekh., No. 39, pp. 3-81, 1940.
9.  P. M. Ogibalov and A. Kh. Mirzadzhanzade, Nonstationary Motions of Visco-Plastic Media [in Russian], Izd-vo MGU, Moscow, 1977.
10.  V. P. Myasnikov, "Flow of a viscoplastic medium under complex shear," Zh. Prikl. Mekhaniki i Tekhn. Fiziki, No. 5, pp. 76-87, 1961.
11.  M. Reiner, Deformation and Flow [Russian translation], Gostoptekhizdat, Moscow, 1963.
12.  G. G. Lipscomb and M. M. Denn, "Flow of Bingham fluids in complex geometries," J. Non-Newt. Fluid. Mech., Vol. 14, pp. 337-346, 1984.
13.  L. M. Kachanov, Principles of the Plasticity Theory [in Russian], Nauka, Moscow, 1969.
Received 21 January 2001
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