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IssuesArchive of Issues2016-6pp.684-691

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R.I. Nepershin, "Plastic Deformation of a Wedge by a Sliding Punch," Mech. Solids. 51 (6), 684-691 (2016)
Year 2016 Volume 51 Number 6 Pages 684-691
DOI 10.3103/S002565441606008X
Title Plastic Deformation of a Wedge by a Sliding Punch
Author(s) R.I. Nepershin (Moscow State Technical University "Stankin," Vadkovskii per. 3a, K-55, Moscow, 127944 Russia, nepershin_ri@rambler.ru)
Abstract We present a self-similar solution of the problem of deformation of an ideally plastic wedge by a sliding punch with regard to contact friction; such a solution generalizes the well-known solutions of the problem of wedge penetration into a plastic half-space and of compression of an ideally plastic wedge by a plane punch. The problem is of interest for modeling the processes of plastic deformation of rough surfaces of metal pieces by a rigid tool.
Keywords ideal plasticity, wedge, sliding punch, stress, velocity, plastic strain, microroughness, plastic smoothing
References
1.  R. Hill, The Mathematical Theory of Plasticity (Oxford Univ. Press, Oxford, 1985; GITTL, Moscow, 1956).
2.  V. V. Sokolovskii, Theory of Plasticity (Vysshaya Shkola, Moscow, 1969) [in Russian].
3.  B. A. Druyanov and R. I. Nepershin, Problems of Technological Plasticity (Elsevier, Amsterdam, 1994).
4.  A. D. Tomlenov, Theory of Plastic Deformation of Metals (Metallurgiya, Moscow, 1972) [in Russian].
5.  R. I. Nepershin, "Cutting of an Ideally Plastic Strip by Wedge-Shaped Knives," in Problems of Mechanics of Deformable Solids and Rocks, Collected Papers Dedicated to the 75th Birthday of E. I. Shemyakin (Fizmatlit, Moscow, 2006), pp. 502-511 [in Russian].
6.  R. I. Nepershin, "Indentation of an Perfectly Plastic Half-Space by a Finite Wedge," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 176-182 (2003) [Mech. Solids (Engl. Transl.) 38 (4), 129-135 (2003)].
7.  R. I. Nepershin, "Plastic Shaping of a Cylinder from a Regular Polyhedral Prism," Probl. Mashinostr. Nadezhn. Mashin, No. 2, 69-76 (2013).
8.  D. D. Ivlev, A. Yu. Ishlinskii, and R. I. Nepershin, "On the Indentation of a Rigid Pyramid into an Ideally Plastic Half-Space," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 57-62 (2002) [Mech. Solids (Engl. Transl.) 37 (4), 47-51 (2002)].
9.  D. D. Ivlev, A. Yu. Ishlinskii, and R. I. Nepershin, "Pyramid Indentation into an Ideal Plastic Half-Space," Dokl. Ross. Akad. Nauk 385 (6), 766-769 (2002) [Dokl. Phys. (Engl. Transl.) 47 (8), 630-633 (2002)].
10.  D. D. Ivlev, A. Yu. Ishlinskii, and R. I. Nepershin, "On the Compression of a Perfectly Plastic Pyramid by a Flat Die," Dokl. Ross. Akad. Nauk 391 (3), 766-769 (2003) [Dokl. Phys. (Engl. Transl.) 48 (7), 382-384 (2003)].
11.  D. S. Dugdale, "Experiments with Pyramidal Indenters. Pt. 1," J. Mech. Phys. Solids 3 (3), 197-2005 (1955).
12.  Technology of Manufacturing of Machine Pieces, in Machine Engineering. Encyclopedia, Vol. III-3 (Mashinostroenie, Moscow, 2006) [in Russian].
13.  Yu. N. Drozdov, V. G. Pavlov, and V. N. Puchkov, Friction and Wear under Extremal Conditions, Reference Book (Mashinostroenie, Moscow, 1986) [in Russian].
14.  R. Hill, "On the Limit Set by Plastic Yielding to the Intensity of Singularities of Stress," J. Mech. Phys. Solids 2 (4), 278-285 (1954).
Received 18 April 2014
Link to Fulltext http://link.springer.com/article/10.3103/S002565441606008X
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