Geodesic
Some aspects of applying finite element method to contact problems using ABAQUS system
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 2, pp. 82-88.

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In this paper the selection of preferred computational scheme for numerical research of a contact interaction between a rigid indentor and an elastic-plastic half-space using ABAQUS systemis described. Furthermore, the critical values of the load applied to indentor which don't cause plastic deformation in the material and subsequently don't effect the process of a surface hardening are determined. Some peculiarities of the forming of near-surface plastic region by static loading are investigated. 
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N. V. Ovchinnikova; U. V. Chebotarevsky. Some aspects of applying finite element method to contact problems using ABAQUS system. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 2, pp. 82-88. http://geodesic.mathdoc.fr/item/ISU_2009_9_2_a12/

[1] Galin L. A., Kontaktnye zadachi teorii uprugosti i vyazkouprugosti, Nauka, M., 1980, 304 pp. | MR | Zbl

[2] Ovchinnikova N. V., Pavlov D. G., Chebotarevskii Yu. V., “Modelnaya zadacha dlya issledovaniya protsessov poverkhnostnogo uprochneniya plasticheskim deformirovaniem c primeneniem ultrazvukovykh vozdeistvii”, Vestn. SGTU, 4(28):1 (2007), 14–18

[3] Dinnik A. N., Izbrannye trudy, v. I, Izd-vo AN Ukr. SSR, Kiev, 1952, 152 pp. | MR

[4] ABAQUS Analysis User's Manual, Version 6.4, Hibbitt, Karlsson Sorensen, Inc., USA, 2002