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IssuesArchive of Issues2005-2pp.129-132

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V. M. Nikireev, "A limiting state of orthotropic ice plates," Mech. Solids. 40 (2), 129-132 (2005)
Year 2005 Volume 40 Number 2 Pages 129-132
Title A limiting state of orthotropic ice plates
Author(s) V. M. Nikireev (Moscow)
Abstract For determining the fracture load on a flat block of ice, a limiting condition is used which takes into account that the tensile and compression strength of ice are different both in the horizontal plane of the ice block and in the vertical direction [1]. Using the analytical method of characteristics [2-4], an exact solution of this problem is obtained for the plane strain and stress states. It is established that the value of the limiting load depends substantially on the compression strength of ice in the plane of the ice block and to a lesser extent on the compression strength of ice across the block. It is known that the strength of solids for uniaxial compression is established as the empirical mean of this strength over a set of experimental specimens. The dependence of the number of specimens necessary for determining the compression strength of ice in the plane of the ice block on the number of specimens necessary for determining the compression strength in the direction perpendicular to this plane is presented.
References
1.  K. Reinikke, "An analytical method for determining ice loads based on plasticity theory," in Physics and Mechanics of Ice [Russian translation], pp. 310-326, Mir, Moscow, 1983.
2.  V. V. Sokolovskii, Plasticity [in Russian], Vyssh. Shkola, Moscow, 1969.
3.  R. Hill, Mathematical Theory of Plasticity [Russian translation], Gostekhizdat, Moscow, 1956.
4.  G. I. Bykovtsev and D. D. Ivlev, Theory of Plasticity [in Russian], Dal'nauka, Vladivostok, 1998.
5.  V. M. Nikireev, "The Prandtl problem for the plane stress state," Izv. AN. MTT [Mechanics of Solids], No. 1, pp. 106-110, 2003.
Received 22 July 2003
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