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Mathematical modelling and optimization of engineering processes described by the geometrically nonlinear theory of plasticity. (English. Russian original) Zbl 0921.73145

Int. Appl. Mech. 32, No. 2, 140-146 (1996); translation from Prikl. Mekh., Kiev 32, No. 2, 73-80 (1996).

MSC:

74C99 Plastic materials, materials of stress-rate and internal-variable type
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
74P99 Optimization problems in solid mechanics
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[3] R. A. Vasin and R. I. Shirov, Research on the Vector Properties of Defining Relations for Metals in the Flat Stressed State [in Russian], Moscow (1985).
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[9] P. P. Lepikhin, ”Modelling elastic-plastic processes of deformation with trajectories following two-component polygonal lines,” Progl. Prochnosti, No. 7, 7–12 (1989).
[10] A. I. Lur’e, The Nonlinear Theory of Elasticity [in Russian], Nauka, Moscow (1980).
[11] A. A. Pozdeev, P. V. Trusov, and Yu. I. Nyashin, Large Elastic-Plastic Deformation: Theory, Algorithms, Applications [in Russian], Nauka, Moscow (1986). · Zbl 0615.73051
[12] K. Truesdell, A First Course on Rational Mechanics of Solid Media [Russian translation], Mir, Moscow (1975).
[13] P. V. Trusov, Decomposition of Motion and Defining Relations in the Geometrically Nonlinear Theory of Plasticity [in Russian], Perm’ (1987). · Zbl 0649.73020
[14] E. Tanaka, ”Hypothesis of local determinability for five-dimensional strain trajectories,” Acta. Mech.,52, Nos. 1–2, 63–57 [sic] (1984). · Zbl 0546.73034 · doi:10.1007/BF01175965
[15] M. Tokuda, Y. Ohasi, and T. Lida, ”On the hypothesis of local determinability and a concise stress-strain relation for curved strain path,” Bull. JSME,25, No. 219, 1475–1480 (1983).
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