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Molodtsov, I. N.

Theory of five-dimensional elastoplastic processes of moderate curvature. (English. Russian original) Zbl 1501.74003

Mosc. Univ. Mech. Bull. 77, No. 2, 38-46 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 2, 39-47 (2022).

Cited in 1 Document

MSC:

74A05 Kinematics of deformation
74A10 Stress
74A20 Theory of constitutive functions in solid mechanics

Keywords:

complex loading; vector constitutive equation; deformation trajectory; stress trajectory; isomorphism theorem; Frenet frame; Vasin function; helical deformation
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References:

[1] Molodtsov, I. N.; Babaeva, D. O., Some mathematical models of elastoplastic processes of complex loading, Intell. Sist. Teoriya Pril., 22, 19-36 (2018)
[2] Il’yushin, A. A., Plasticity (1963), Moscow: Izd-vo Akad. Nauk SSSR, Moscow
[3] Malyi, V. I., Elasticity and Inelasticity (1978), Moscow: Mosk. Univ., Moscow
[4] Molodtsov, I. N., Applied questions of Il’yushin theory of elastoplastic processes, Moscow Univ. Mech. Bull., 75, 121-126 (2020) · Zbl 1487.74014 · doi:10.3103/S0027133020050039
[5] Zubchaninov, V. G., Isotropy postulate and the law of complex unloading of continua, Mech. Solids, 46, 21 (2011) · doi:10.3103/S0025654411010043
[6] I. N. Molodtsov, ‘‘Development of the theory of elastoplastic processes of complex loading,’’ in Modern Questions of Stability, Plasticity, and Creep in Solid Mechanics: Collection of Papers Dedicated to 90th Anniversary of the Birth of V. G. Zubchaninov (Tverskoi Gos. Tekh. Univ., Tver, 2020), pp. 60-67.
[7] A. S. Vavakin, R. A. Vasin, V. V. Viktorov, and R. I. Shirov ‘‘Experimental study of elastoplastic deformation of steel at complex loading along curvilinear 3D trajectories of deformations,’’ Available from VINITI, No. 7298-B86 (Moscow, 1986).
[8] Zubchaninov, V. G., Mechanics of Processes in Continua (2010), Moscow: Fizmatlit, Moscow
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