Geodesic
A~Superposition of the Nadai and Prandtl Solutions to the Two-Dimensional Ideal Plasticity System
Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 3, pp. 151-156

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We give a general algorithm for transforming exact solutions to the flat ideal plasticity system of Mises using the superposition principle for solutions, which arises as a corollary to the original system admitting an infinite dimensional symmetry group. As an example we consider a relation between the known exact solutions: the Prandtl solution for a thin layer compressed by rough solid plates, and the Nadai solution for the radial distribution of stresses in a convergent channel in the shape of a flat wedge.
Keywords: flat ideal plasticity, exact solutions to differential equations, boundary value problem for hyperbolic systems.
Mots-clés : superposition principle for solutions 
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     author = {L. V. Yakhno},
     title = {A~Superposition of the {Nadai} and {Prandtl} {Solutions} to the {Two-Dimensional} {Ideal} {Plasticity} {System}},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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L. V. Yakhno. A~Superposition of the Nadai and Prandtl Solutions to the Two-Dimensional Ideal Plasticity System. Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 3, pp. 151-156. http://geodesic.mathdoc.fr/item/SJIM_2009_12_3_a14/