#### 539.3 Computational modeling and experimental investigation of elastic-plastic plates deforming under crushing

##### Dimitrienko Y. I. (Bauman Moscow State Technical University), Gubareva E. A. (Bauman Moscow State Technical University), Sborschikov S. V. (Bauman Moscow State Technical University), Erasov V. S. (Federal State Unitary Enterprise “All-Russian Scientific Research Institute of Aviation Materials”), Yakovlev N. O. (Federal State Unitary Enterprise “All-Russian Scientific Research Institute of Aviation Materials”)

###### HOLE OVALIZATION' PROBLEM, PLATE CRUMPLING, NUMERICAL MODELING, FINITE ELEMENT METHOD, ELASTICITY, PLASTICITY, DEFORMING DIAGRAM.

doi: 10.18698/2309-3684-2015-1-6782

The article presents a suggested method of numerical finite-element solving the ‘hole ovalization’ problem. This method can be applied for experimental development of advanced aviation materials with the aim of determining structure element resistance against deforming with stress concentrators, mainly, connectors. The method is based on three-dimensional finite element solution of the problem of lastoplastic deformation of plates with a hole under crushing. It is appropriate for reduction of xperimental studies and replacing them by the numerical experiments. The Ilyushin model of small lastoplastic deformations has been used. The results of numerical simulation of a threedimensional stress-strain state of elastoplastic plates under crushing are presented as well as results of experimental nvestigations of deforming plates of Al-alloy 163. It is shown that the results of numerical and experimental modeling for deforming plates under crushing agree quite well.

[1] Ilyushin А.А. Mekhanika sploshnoy sredy [Continuum Mechanics]. Moscow, URSS Publ., 2014, 320 p.
[2] Dimitrienko Yu.I. Mekhanika sploshnoi sredy [Continuum Mechanics]. In 4 vols. Vol. 4. Osnovy mekhaniki tverdogo tela [Fundamentals of Solid Mechanics]. Moscow, BMSTU Publ., 2013, 624 p.
[3]Dimitrienko Yu.I. Mekhanika sploshnoi sredy [Continuum Mechanics]. In 4 vols. Vol. 1. Tenzornyy analiz [Tensor analysis]. Moscow, BMSTU Publ., 367 p.
[4] Birger I.A., Mavlyutov R.R. Soprotivlenie materialov [ Strength of Materials]. Moscow, Nauka Publ., 1986, 560 с.
[5] Dimitrienko Yu.I., Yakovlev N.O., Erasov V.S., Fedonuk N.N., Sborschikov S.V., Gubareva E.A., Krylov V.D., Grigoryev M.M., Prozorovskiy А.А. Kompozity i nanostruktury – Composites and Nanostructures, 2014, no. 1, vol. 6, pp. 32–48.
[6] Dimitrienko Yu.I, Fedonuk N.N., Gubareva E.A., Sborschikov S.V, Prozorovsky A.A. Nauka i obrazovanie. Elektronnoe nauchno-tekhnicheskoe izdanie — Science and Education. Electronic Scientific and Technical Journal, 2014, no. 10. doi: 10.7464/1014.0730105
[7] Dimitrienko Yu.I., Sokolov A.P. Matematicheskoe modelirovanie – Mathematical Modeling, 2012, no. 5, vol. 24, pp. 3–20.
[8] Dimitrienko Yu.I., Gubareva E.A., Sborschikov S.V. Matematicheskoe modelirovanie i chislennye menody – Mathematical modeling and Numerical Methods, 2014, no. 1, pp. 36–57.
[9] Dimitrienko Y.I., Gubareva E.A., Sborschikov S.V. Matematicheskoe modelirovanie i chislennye menody – Mathematical modeling and Numerical Methods, 2014, no. 2, pp. 28–48.
[10] Dimitrienko Yu.I., Sokolov A.P. Vestnic MGTU im. N.E. Baumana. Seria Estestvennye nauki – Herald of the Bauman Moscow State Technical University. Series: Natural Sciences, 2008, no. 2, pp. 57–67.
[11] Dimitrienko Yu.I., Sokolov A.P. Informatsionnye Tekhnologii – Information Technologies, 2008, no. 8, pp. 31–38.
[12] Dimitrienko Yu.I., Sborschikov S.V., Sokolov A.P., Sadovnichiy D.N., Gafarov B.R. Kompozity i nanostruktury – Composites and Nanostructures, 2013, no. 3, pp. 35–51.
[13] Dimitrienko Yu.I., Gubareva E.A., Yurin Yu.V. Matematicheskoe modelirovanie i chislennye enody – Mathematical modeling and Numerical Methods, 2014, no. 4, pp.28–48.
[14] Dimitrienko Yu.I., Gubareva E.A., Yakovlev D.O. Nauka i obrazovanie. Elektronnoe nauchno-tekhnicheskoe izdanie — Science and Education. Electronic Scientific and Technical Journal, 2014, no. 10. doi: 10.7463/1014.0730105.

Dimitrienko Y., Gubareva E., Sborschikov S., Erasov V., Yakovlev N. Computational modeling and experimental investigation of elastic-plastic plates deforming under crushing. Маthematical Modeling and Coтputational Methods, 2015, №1 (5), pp. 67-82