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IssuesArchive of Issues2008-5pp.765-768

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A. V. Gorskii and P. V. Gorskii, "On relations for general two-dimensional ideal plasticity problems under the full plasticity condition," Mech. Solids. 43 (5), 765-768 (2008)
Year 2008 Volume 43 Number 5 Pages 765-768
DOI 10.3103/S0025654408050117
Title On relations for general two-dimensional ideal plasticity problems under the full plasticity condition
Author(s) A. V. Gorskii (Yakovlev Chuvash State Pedagogical University, Karla Marksa 38, Cheboksary, Chuvashiya, 428000, Russia)
P. V. Gorskii (Yakovlev Chuvash State Pedagogical University, Karla Marksa 38, Cheboksary, Chuvashiya, 428000, Russia)
Abstract Relations for two-dimensional ideal plasticity problems under the full plasticity condition are determined with material anisotropy, inhomogeneity, and compressibility properties taken into account. These properties are determined by the direction cosines of the principal stress, the coordinates of points in space, and the mean stress.

For the yield strength we take a function of the form k=k(σ,n1,n2,n3,x,y,z). The desired relations are determined for the general plane ideal plasticity problem. The relations thus obtained are generalized to the cases of axisymmetric and spherical plasticity problems.
Received 11 July 2005
Link to Fulltext http://www.springerlink.com/content/tn702qgw62822vu5
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