Premium
Application of the Method of One‐Dimensional Functionals to the Solution of Elasto‐Plastic Problems
Author(s) -
Yanenko N. N.,
Vasilkovsky S. N.
Publication year - 1986
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19860660208
Subject(s) - mathematics , quasistatic process , prandtl number , boundary value problem , minification , basis (linear algebra) , mathematical analysis , mathematical optimization , geometry , physics , convection , mechanics , quantum mechanics
In the present paper a variational formulation of the method of the approximated factorization of multi‐dimensional differential operators is given. The method of one‐dimensional functionals being developed on the above mentioned basis allows to reduce the solution of multi‐dimensional problems in mathematical physics to the successive minimization of certain one‐dimensional functionals. The efficiency of the presented method of one‐dimensional functionals relative to well‐known variational methods is shown by solving two‐dimensional quasistatic boundary value problems with active loads when the plastic state is described by relations from the theory of Prandtl‐Reuß flows.