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IssuesArchive of Issues2009-3pp.490-495

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L. F. Fomin, "Contact pressures in a thin layer in strip rolling with the deflection of rollers taken into account," Mech. Solids. 44 (3), 490-495 (2009)
Year 2009 Volume 44 Number 3 Pages 490-495
DOI 10.3103/S0025654409030182
Title Contact pressures in a thin layer in strip rolling with the deflection of rollers taken into account
Author(s) L. F. Fomin (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, gradet@ipmnet.ru)
Abstract From the standpoint of modern concepts of the generalized associative law of maximally free character of the plastic flow under the total plasticity condition, on the basis of A.A. Il'yushin's theory of flow of a thin layer of plastic matter on surfaces, using the successive approximation method and expanding the desired functions into series in a small parameter, we obtain the values of generalized and contact pressures in strip rolling with deflection of rollers taken into account.
References
1.  A.A. Il'yushin, "Problems of Theory of Plastic Matter Flow over Surfaces," Prikl. Mat. Mekh. 18 (3), 265-288 (1954).
2.  A.A. Il'yushin, "Complete Plasticity in Processes of Flow between Rigid Surfaces, an Analogy with Sand Embarkment and Several Applications," Prikl. Mat. Mekh. 19 (6), 693-713 (1955).
3.  D.D. Ivlev and A.Yu. Ishlinskii, "Full Plasticity in the Theory of an Ideal Plastic Body," Dokl. Ross. Akad. Nauk 368 (3), 333-334 (1999) [Dokl. Phys. (Engl. Transl.) 44 (9), 642-644 (1999)].
4.  Yu.S. Arutyunov, "Rolling of a Thin Sheet," Vestnik Moskov. Univ. Ser. Mat. Mekh. Astronom. Fiz. Khim., No. 4, 17-27 (1957).
Received 21 December 2006
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