Geodesic
The stress state of a~plastic layer with a~variable yield strength under a~flat deformation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2013), pp. 34-43

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We study the stress state of a plastic layer with a variable yield strength in a strip under a flat deformation with a tensile load. We approximately calculate the first integrals of the system of plastic equilibrium equations, obtain an analog of the first Hencky theorem, and solve the conjugation problem for stresses on the contact boundary.
Keywords: stress state, inhomogeneous plastic layer, flat deformation, Hencky integrals. 
@article{IVM_2013_8_a3,
     author = {V. L. Dil'man and T. V. Karpeta},
     title = {The stress state of a~plastic layer with a~variable yield strength under a~flat deformation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {34--43},
     publisher = {mathdoc},
     number = {8},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_8_a3/}
}
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V. L. Dil'man; T. V. Karpeta. The stress state of a~plastic layer with a~variable yield strength under a~flat deformation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2013), pp. 34-43. http://geodesic.mathdoc.fr/item/IVM_2013_8_a3/