Journal of Applied Mathematics and Mechanics, ( ISI ), Volume (36), No (3), Year (2015-3) , Pages (303-318)

Title : ( Modified Burzynski criterion with non-associated flow rule for anisotropic asymmetric metals in plane stress problems )

Authors: Farzad Moayyedian , Mehran Kadkhodayan ,

Citation: BibTeX | EndNote

The Burzynski criterion is developed for anisotropic asymmetric metals with the non-associated flow rule (NAFR) for plane stress problems. The presented pressure depending on the yield criterion can be calibrated with ten experimental data, i.e., the tensile yield stresses at 0◦, 45◦, and 90◦, the compressive yield stresses at 0◦, 15◦, 30◦, 45◦, 75◦, and 90◦ from the rolling direction, and the biaxial tensile yield stress. The corresponding pressure independent plastic potential function can be calibrated with six experimental data, i.e., the tensile R-values at 0◦, 15◦, 45◦, 75◦, and 90◦ from the rolling direction and the tensile biaxial R-value. The downhill simplex method is used to solve these ten and six high nonlinear equations for the yield and plastic potential functions, re- spectively. The results show that the presented new criterion is appropriate for anisotropic asymmetric metals.

Keywords

, modified Burzynski criterion, pressure dependent asymmetric metal, down-hill simplex method, non-associated flow rule
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@article{paperid:1046851,
author = {Moayyedian, Farzad and Kadkhodayan, Mehran},
title = {Modified Burzynski criterion with non-associated flow rule for anisotropic asymmetric metals in plane stress problems},
journal = {Journal of Applied Mathematics and Mechanics},
year = {2015},
volume = {36},
number = {3},
month = {March},
issn = {0253-4827},
pages = {303--318},
numpages = {15},
keywords = {modified Burzynski criterion; pressure dependent asymmetric metal; down-hill simplex method; non-associated flow rule (NAFR)},
}

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%0 Journal Article
%T Modified Burzynski criterion with non-associated flow rule for anisotropic asymmetric metals in plane stress problems
%A Moayyedian, Farzad
%A Kadkhodayan, Mehran
%J Journal of Applied Mathematics and Mechanics
%@ 0253-4827
%D 2015

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