Geodesic
Optimization of calculations of plastic deformations in nonlinear problems of deformable solid mechanics
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2013), pp. 96-103

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The article gives a numerical method for solving plasticity problems of the flow theory using the finite element method. The main characteristic of the method is the direct solution of a set of nonlinear constitutive equations by means of the software tools that implement residual minimization algorithm of a function. Operation of the program to determine strained-deformed state for the elastoplastic axisymmetrical problem has been presented. The advantages of this method in comparison with known methods of plastic flow analysis have been pointed out.
Keywords: finite element method, theory of plastic flow, approximation, hardening curves, iterative process, plasticity condition, yield point. 
@article{VTGU_2013_3_a11,
     author = {P. V. Manahov and O. B. Fedoseev},
     title = {Optimization of calculations of plastic deformations in nonlinear problems of deformable solid mechanics},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {96--103},
     publisher = {mathdoc},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2013_3_a11/}
}
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P. V. Manahov; O. B. Fedoseev. Optimization of calculations of plastic deformations in nonlinear problems of deformable solid mechanics. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2013), pp. 96-103. http://geodesic.mathdoc.fr/item/VTGU_2013_3_a11/