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ON THE INVERSE BOUNDARY VALUE PROBLEM OF THE PLASTIC LAYER DEFORMATION UNDER ITS COMPRESSION WITH SLIDE

Annotation

The stress-strain state of a plastic layer in the process of compression with slide between flat contact surfaces in a plane strain is under consideration. The obtained analytical dependences allow to find out all the mechanical and geometrical parameters of the process, either in the form of explicit approximate formulas or on the basis of iterative computational schemes.

Keywords

plastic layer; plane strain; sediment; stress-strain state; the hypothesis of plane sections; streamlines; inverse boundary problem; the system of equations hyperbolic type

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UDC

517.958

Pages

1125-1129

References

1. Prandtl' L. Primery primeneniya teoremy G. Genki k ravnovesiyu plasticheskikh tel // Teoriya plastichnosti / pod red. Yu.N. Rabotnova. M.: Izdatel'stvo inostr. literatury, 1948. S. 102-113. 2. Dil'man V.L., Eroshkina T.V. Matematicheskoe modelirovanie kriticheskikh sostoyaniy myagkikh prosloek v neodnorodnykh soedineniyakh. Chelyabinsk: Izdat. tsentr YuUrGU, 2011. 276 s. 3. Dil'man V.L., Ostsemin A.A. Napryazhennoe sostoyanie i staticheskaya prochnost' plastichnoy prosloyki pri ploskoy deformatsii // Problemy mashinostroeniya i nadezhnosti mashin. 2005. № 4. S. 38-48. 4. Dil'man V.L. O napryazhenno-deformirovannom sostoyanii pri rastyazhenii plasticheskogo sloya s dvumya osyami simmetrii // Izv. RAN. MTT. 2001. № 6. S. 115-124. 5. Dil'man V.L., Nosacheva A.I. Matematicheskoe modelirovanie kriticheskikh sostoyaniy plasticheskogo sloya // Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki. Tambov, 2013. T. 18. Vyp. 5. S. 2502-2504. 6. Dil'man V.L. Napryazhennoe sostoyanie i prochnost' neodnorodnoy plasticheskoy polosy s defektom v bolee prochnoy chasti // Izv. RAN. MTT. 2010. № 2. S. 89-102.

Received

2015-05-05

Section of issue

Scientific articles

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