Abstract
Problems of inelastic straining of three-dimensional bodies with large displacements and turns are considered. In addition to the sought fields, surface forces and boundary displacements have also to be determined in these problems. Experimental justification is given to the proposed constitutive equations of steady creep for transversely isotropic materials with different characteristics under tension and compression. Algorithms and results of the finite-element solution of the problem are presented for these materials.
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I. Yu. Tsvelodub, Stability Postulate and Its Application to the Theory of Creep of Metals [in Russian], Inst. of Hydrodynamics, Sib. Div., Russian Acad. of Sci., Novosibirsk (1991).
I. Yu. Tsvelodub, “Inverse problems of inelastic straining,” Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 2, 81–92 (1995).
I. Yu. Tsvelodub, “Inverse problems of deformation of nonlinear viscoelastic bodies,” J. Appl. Mech. Tech. Phys., 38, No. 3, 453–464 (1997).
I. Yu. Tsvelodub, “Inverse elastoplastic problem,” Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 1, 35–43 (1998).
I. V. Sukhorukov and I. Yu. Tsvelodub, “Iterative method for solving inverse relaxation problems,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 3, 93–101 (1991).
I. A. Banshchikova and I. Yu. Tsvelodub, “On one class of inverse problems of variation in shape of viscoelastic plates,” J. Appl. Mech. Tech. Phys., 37, No. 6, 876–883 (1996).
I. A. Banshchikova, “Inverse problem for a viscoelastic plate,” in: Dynamics of Continuous Media (collected scientific papers) [in Russian], No. 113, Inst. of Hydrodynamics, Sib. Div., Russian Acad. of Sci., Novosibirsk (1998), pp. 13–18.
A. I. Banshchikova, B. V. Gorev, and I. V. Sukhorukov, “Two-dimensional problems of beam forming under conditions of creep,” J. Appl. Mech. Tech. Phys., 43, No. 3, 448–456 (2002).
A. I. Oleinikov, “Modeling of forming processes for panel of the Russian regional plane,” in: Abstracts of IX All-Russia Forum on Theoretical and Applied Mechanics (Nizhnii Novgorod, August 22–28, 2006), Vol. 3, Nezhegor. Gos. Univ., Nizhnii Novgorod (2006), p. 162.
A. I. Oleinikov and A. I. Pekarsh, Integrated Design of Integral Panel Manufacture Processes [in Russian], Ékom, Moscow (2009).
B. V. Gorev, I. Zh. Masanov, A. I. Pekarsh, and A. I. Oleinikov, “Specific features of the strain and strength behavior of aluminum-based sheet materials, as applied to part forming under creeping conditions,” in: Dynamic and Process Issues in Structures and Continuum Mechanics, Proc. 11th Int. Symp., Vol. 1, Moscow Aviation Inst., Moscow (2005), pp. 115–117.
B. V. Gorev and I. Zh. Masanov, “Specific features of straining of structural sheets made of aluminum alloys in the creeping mode,” Tekhnol. Mashinostr., No. 7, 13–20 (2009).
V. B. Gorev and O. V. Sosnin, “Some specific features of creep of sheeted materials,” in: Dynamics of Continuous Media (collected scientific papers) [in Russian], No. 4, Inst. of Hydrodynamics, Sib. Div., USSR Acad. of Sci., Novosibirsk (1970), pp. 5–10.
V. V. Rubanov, “Experimental verification of the incompressibility hypothesis on the AK4-1T aluminum alloy,” in: Dynamics of Continuous Media (collected scientific papers) [in Russian], No. 75, Inst. of Hydrodynamics, Sib. Div., USSR Acad. of Sci., Novosibirsk (1985), pp. pp. 126–131.
B. D. Annin, “Models of elastoplastic straining of transversely isotropic materials,” Sib. Zh. Industr. Mat., 2, No. 2, 3–7 (1999).
A. I. Oleinikov, “Steady creep models for isotropic and transversely isotropic materials with different properties under tension and compression,” in: Achievements of Mechanics of Continuous Media, Abstracts of All-Russian Conf. Devoted to the 70th Anniversary of Academician V. A. Levin [in Russian], Dal’nauka, Vladivostok (2009), p. 98.
A. I. Oleinikov and K. S. Bormotin, “Steady creep models for design of manufacture processes for structural elements,” in: ibid., pp. 571–582.
A. I. Oleinikov, “Steady creep models for transversely isotropic materials with different properties under tension and compression,” Sib. Zh. Industr. Mat., 13, No. 3, 52–59 (2010).
S. N. Korobeinikov, Nonlinear Straining of Solids [in Russian], Izd. Sib. Otd. Ross. Akad. Nauk, Novosibirsk (2000).
A. I. Oleinikov, S. N. Korobeinikov, B. V. Gorev, and K. S. Bormotin, “Mathematical simulation of creeping processes for metal products made of materials with different properties in tension and compression,” Vychisl. Metody Program., 9, 346–365 (2008).
O. V. Sosnin, B. V. Gorev, and V. V. Rubanov, “Torsion of a square plate made of a material with different resistances to tension and compression at creeping,” in: Strength Calculations of Ship Structures and Mechanisms (collected scientific papers), [in Russian], No. 117, Institute of Water Transport Engineering, Ministry of Inland Water Transport, Novosibirsk (1976), pp. 78–88.
S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, New York (1959).
A. I. Oleinikov, A. I. Pekarsh, V. V. Bakaev, et al., “Pre-production of complicated parts with a double variablesign curvature by the finite element method used to analyze the geometric model with complex updating of the die tooling, part involute, and recommendations on the technological process,” SAPR Grafika, No. 2, 88–96 (2009).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 51, No. 4, pp. 155–165, July–August, 2010.
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Annin, B.D., Oleinikov, A.I. & Bormotin, K.S. Modeling of forming of wing panels of the SSJ-100 aircraft. J Appl Mech Tech Phy 51, 579–589 (2010). https://doi.org/10.1007/s10808-010-0074-2
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DOI: https://doi.org/10.1007/s10808-010-0074-2